TWM596498U - System that promotes and strengthens key exchange procedure to confront quantum computing system - Google Patents

Abstract

A key exchange system that can resist quantum operations, including linear space structure operation modules, manifold operation modules, and Banach space operation modules; using key transformation or key hiding techniques to help in different After completing the key exchange procedure for resisting quantum operations in the mathematical space where the general quantum computing attack is located, it returns to the Hilbert space to solve the original key. In addition to helping to strengthen the avoidance of general quantum computing cracking attacks in the process of key exchange, the technical means of this system can avoid the lack of implementation of the current PQC scheme, the loopholes of symmetric and asymmetric encryption systems on the market, As well as the problems of quantum key operation limitation in Hilbert space, it can be compatible with traditional keys or quantum keys to overcome the bottleneck of most current PQC solutions that must be operated through expensive equipment.

Description

Facilitating quantum computing system that promotes and strengthens key exchange procedures

This creation is about a key exchange system that resists quantum computing attacks. More specifically, it is about a key conversion technology that can use at least one of key deformation and key hiding. It is compatible with traditional keys and quantum keys. Operations to help strengthen the system of secure key exchange procedures.

At present, the common post-quantum cryptography (PQC) technology adopts known ultra-high complexity cryptosystems (such as Lattice, Code-based, Supersingular Elliptic Curve Isogency) to resist the attacks of quantum computing. On the one hand, the security of the key mechanism still depends on the development of the number of bits of the quantum computer. On the other hand, if an end user wants to implement its mechanism, he must upgrade the existing hardware equipment to operate smoothly. In addition, most of the current PQC solutions still have the following basic deficiencies, including: the lack of a mechanism for verification through inverse operations, which cannot ensure the correctness and success rate of the output; the lack of lightweight design of its transmission architecture is not conducive to matching Massive data transmission between the IOT device and the current bandwidth; and the encryption strength of many PQC schemes is not stable, which not only increases the difficulty of quality assurance, but also may affect the accuracy of the decoding end; in addition, the exchange protocol used will also greatly increase the handshake and The data flow of the encryption and decryption mechanism has caused many existing HTTP Web Servers to face the problem of replacement. In addition, in the use of file transfer protocols, the current PQC scheme will have different geometric structures (such as elliptic curves or lattices) due to the choice of geometric structure. Different coding correspondence problems may cause the end of the transmission file to be wrong, and even in the case of small packet transmission, it will increase the risk of being decrypted by quantum operations; and some simulation mechanisms with ElGamal encryption and decryption systems are more likely to be multiple. When a large number of solutions are generated, the system cannot effectively determine the correct solution. Moreover, the current PQC scheme needs to eliminate traditional keys, and cannot meet the needs of traditional keys and future quantum keys. There are many practical limitations to its industrial applicability.

However, even though there are currently a few solutions compatible with traditional keys, the loopholes in the current symmetric and asymmetric key systems cannot be effectively avoided, for example: data transmission can only be carried out in traditional channels; most of the random number generation mechanisms use pseudo-random Number generators, such libraries are easy to be cracked; the response mechanism after the current certificate is stolen is also incomplete; in addition, the prime factors applicable to the current symmetric and asymmetric systems are also mostly mastered, and continue to seek greater quality. Factors can also cause system performance problems; it is especially important that many current modulus arithmetic mechanisms are prone to be tested with modulus parameters or related settings of libraries under a period of brute force attacks.

Furthermore, the quantum key system currently implemented based on the known quantum key distribution (QKD) technology often has the following limitations due to the implementation of the Hilbert space computing system. For example: In the Albert space, only a few known distance definitions can be applied; in addition, its matrix operations must use orthogonal bases, which will increase the possibility of brute force cracking by quantum operations; especially limited by the physical properties of quantum itself, it can be used in Greek The operators in the Albert space are even more limited; the above limitations are not conducive to the quantum key system currently published against the quantum decryption operation in the Hilbert space.

It can be seen that the key technology of post-quantum encryption still needs to be improved.

One of the purposes of this creation is to propose a technology that can resist quantum computing attacks and help to strengthen the key exchange program. If the key exchange program can be used to resist quantum computing attacks, then the traditional key or quantum can be avoided After the key is intercepted in the exchange process, it is cracked by quantum operation. According to this, even if a general traditional key is used, the risk of being compromised by quantum operations can be effectively reduced during the key exchange process based on the embodiment of this creation. This technology can be implemented in electronic devices or systems with reasonable cost, and can avoid the capital expenditure of a large number of traditional key systems in a short period of time. At the same time, it effectively avoids the lack of implementation of the previous technology in the current PQC scheme, the loopholes of symmetric and asymmetric encryption systems on the market, and the computational limitations of quantum keys in Hilbert space.

In order to achieve the above purpose, the author proposes an embodiment of a key exchange device or system that can be used to resist quantum computing attacks, which includes a "linear space structure" computing module. The linear space structure computing module may include the following units: A "quantum operator integrated computing unit" can support quantum basic operations in linear space; a "swappable operator-processing unit" can be used to maintain the integrity of the original message; a "original root generation unit" can be used for export In linear space, applicable cyclic groups of algebraic structure; a "quantum random number generation unit" can provide true randomness of the derived root; and a "advanced number theory operation unit" can provide modular power operation under algebraic structure ability.

In one embodiment, the "quantum operator integrated computing unit" includes the following subunits: a positive transform operator subunit; a dimension reduction operator subunit; an orthogonal basis screening subunit; an inner product operator subunit; a Intrinsic operation subunit; an Hermitian verification subunit; a ground state analysis subunit; a Laplace conversion subunit; and a conversion operator subunit. Among them, "Ma positive transformation operator unit" can perform linear transformation on linear matrix; "Dimension reduction operator unit" can perform dimensionality reduction on multi-dimensional space ma positive matrix; "Orthogonal basis screening subunit", To verify the orthogonality of the base of the vector space; "Inner product operator unit" to support the inner product calculation of the vector space; "Inherent operator unit" to calculate the eigenvalues and eigenvectors of the vector space; "Ermite "Verification subunit" to confirm whether the selected quantum operator is an Hermitian operator; "Ground state analysis subunit" is used to calculate the probability of quantum transition from the ground state; "Laplace transform subunit" to derive a vector Wave vectors that are perpendicular to each other in the space; "Conversion operator unit", you can choose a suitable conversion operator to convert the vector space into a conjugate complex space. Each of the above subunits can be implemented as software units, hardware units, or in a combination of software based on related conventional technologies, but this combined integrated computing unit can cost limited computational costs and efficiently provide various conversions for linear The basic operations required for space, and help ensure the accuracy of various basic conversion operations.

In the same embodiment, the result of the related linear conversion operation of the quantum operator integrated computing unit needs to be further confirmed through the exchangeable operator processing unit to determine whether its inherent value is degraded, and a complete set of exchangeable operators ( Complete set of commuting observables (CSCO) to remove the degradation problem in order to maintain the integrity of the original message; then, the complete conversion result of the degeneration has been combined with the quantum random number generation unit and the original root generation unit of the linear space structure operation module. Further generate cyclic groups with true randomness and suitable algebraic structure.

In the same embodiment, the "advanced number theory" arithmetic unit includes a generation number loop arithmetic subunit; a Galois group arithmetic subunit; and a modular power root continuous square arithmetic subunit. Among them, the "algebraic loop operator unit" can support the maintenance and operation of the algebraic structure ring; the "Galova group operator unit" can support the generation and operation of the Galois group; "modular power root continuous square operation subunit" Utilizing the operation procedures of Yura's theorem and Fermat's little theorem, it can handle the continuous square calculation of modular power root. Each of the above subunits can be implemented as software units, hardware units, or a combination of hardware and software based on related conventional technologies. However, this combined arithmetic unit can provide a highly complex security algebra structure while being efficient Simplify the operation procedure of modular power root.

In one embodiment, the authored system may further include a "manifold operation" module, which may include a key calculation unit and a key exchange unit. The key operation unit is used to perform manifold topology operation on the key to obtain the converted key. The key operation unit may include: a key transformation operation unit, which can use a variety of manifold operation sub-units for a "traditional key" to transform the traditional key into a "Karabic manifold" as the converted key ; And a key hiding operation unit, which can perform a hidden transformation on a "quantum key" using a specific manifold operation subunit, and hide the quantum key in a thermonuclear function that evolves over time as a converted Key. The key exchange unit can process the deformed traditional key or the hidden quantum key (converted key) used by the transmitting end or the receiving end, to help strengthen the key exchange process.

In an embodiment, the key transformation operation unit of the "manifold operation" module includes the following subunits: a "pseudo-Riemannian manifold" operation subunit; a "Fensler manifold" operation subunit; a "kara" Biqiu manifolds operation subunit; and a "parallel manifold" verification subunit. Among them, the "pseudo-Riemannian manifold" operator unit can represent the traditional key in a Lorentz manifold model; the "Fensler manifold" operator unit can generalize the measure of the Lorentz manifold to Finland Siler space, transforming it into a Finsler manifold; the "Karabic manifold" operator unit can express the complex three-dimensional space of the Finsler manifold as a Karabitchu polynomial in the form of a Kara Picchu quintic polynomial; " "Parallel Manifold" verification subunit is used to verify whether the transformed manifold is a parallelizable manifold to confirm whether the result of this key deformation is applicable. Each of the above subunits can be implemented as software units, hardware units, or a combination of software and hardware based on related conventional technologies. However, this combined computing unit can achieve the key modification function not provided by the prior art. The key is successfully converted into a representation of a topological space. This modification will make it impossible for the traditional key to be correctly analyzed in the process of key exchange using quantum operations based on the Hilbert space basis.

In one embodiment, the key hiding operation unit of the aforementioned "manifold operation" module includes the following subunits: a "symplectic manifold" operation subunit; a "bilateral filtering" subunit; and a "thermal kernel function conversion" 』Subunit. Among them, the "symplectic manifold" operator unit is used to model all configurations of quantum keys in the phase space for symplectic manifold modeling; the "bilateral filtering" subunit is used to eliminate unsuitable quantum states and retain the necessary The marginal message of "Thermal function conversion" subunit uses the Dirac delta function to convert the position operator of multiple quantum states into a thermonuclear function. Each of the above subunits can be implemented as software units, hardware units, or a combination of hardware and software based on related conventional technologies. However, the combined computing unit can achieve the key hiding effect that is not provided by the prior art. The configuration of the key is converted into the expression of the thermonuclear function, so that the general quantum operation is attacked during the key exchange process, and the key configuration that can be used for quantum operation cannot be found.

In another embodiment, the "bilateral filtering" sub-unit of the key hiding operation unit may further include the following components: a "decoherent filter", used to eliminate the decoherent quantum configuration; and a "probability filter" Device”, which can eliminate the quantum state with low probability; and a “message saver”, which is used to retain the important information on the non-manifold edge after the key is deformed. Each of the above components can be implemented as a software unit, a hardware unit, or a combination of software and hardware based on related conventional technologies. However, the combined bilateral filtering sub-unit can ensure that the sending end and the receiving end are executed during the key exchange process. The accuracy and success rate of key hiding operations.

In an embodiment, the key exchange unit of the aforementioned "manifold operation" module may include: a "traditional key exchange" subunit and a "quantum key exchange" subunit.

Among them, the traditional key exchange subunit includes the following components: a "topological surface converter", which is used to convert a topological surface into a differentiable manifold; and a "nonlinear partial differential calculator" is used Convert the first-order shape by partial differential operation into a parameterizable integral of curvature polynomial. Each of the above components can be implemented as a software unit, a hardware unit, or a combination of software and hardware based on related conventional technologies. However, this combination of traditional key exchange subunits can achieve key exchange promotion that is not provided by the prior art. Function, can transform the manifold data corresponding to the deformed traditional key or quantum key into integral data representing the integral of the curvature polynomial, and parameterize the polynomial represented in the integral data, and then use the random Partial differential equations evolved over time to help traditional channels strengthen key exchange procedures. At the same time, the integration of the above "key transformation unit" and "traditional key exchange sub-unit" also effectively avoids possible vulnerabilities in the prior art during the key exchange process of traditional symmetric and asymmetric encryption systems.

The aforementioned quantum key exchange subunit contains the following components: a "super-singular elliptic curve encryptor" used for key exchange and verification procedures; and a "Bodman set generator" used for generating A complex plane for infinite iteration of the conversion of several pairs; a "non-trivial zero point generator" can generate non-trivial zero points close to the coordinates according to the corresponding coordinates. Each of the above components can be implemented as a software unit, a hardware unit, or a combination of software and hardware based on related conventional technologies. However, this combined quantum key exchange subunit can achieve key exchange promotion that is not provided by the prior art. It can convert the pairs of quantum keys hidden in the thermonuclear function into a complex plane generated by an infinite iteration, and find the non-trivial zero points close to their corresponding coordinates, and then set all the corresponding non-trivial zero points. The key pairs in the complex plane and the generation parameters of the complex plane are encrypted with a super-singular elliptic curve to facilitate the process of key exchange and verification, which helps to provide a common quantum key. A key exchange process that is convenient and secure and can be implemented through a device with reasonable cost.

In another embodiment, the aforementioned quantum key exchange subunit may further include a "twin prime number generator", which can generate twin prime numbers that conform to the twin prime number conjecture form according to the prime numbers corresponding to the aforementioned non-trivial zero points; and A "modular matrix verifier" can support the receiving end to perform inverse verification with the received prime number and the generated modular square matrix to confirm the accuracy of the encrypted data exchange. At the same time, the integration of the above "key hiding operation unit" and "quantum key exchange sub-unit" also effectively avoids many related PQC solutions in the process of key exchange, the prior art related lack.

In one embodiment, the system of this creation further includes a "Banakh space operation" module, which includes the following units: a "topology-Banach space conversion" unit, which can use the exquisite theorem to express A first-class manifold data in top-level space in the topological space is converted from topological space to Banach space to obtain a second manifold data, wherein the second manifold data represents first-class data in the Banach space Shape; a "minimum internal isomorphic analysis" unit, used to find the minimum isomorphic exchange group corresponding to the key with the second manifold data; a "smooth space verification" unit, used to confirm the topology space to The correctness of the transformation of the Banach space; a "Piano curve conversion" unit, so that the exchange group derived from the second manifold data is converted from a multi-dimensional to a one-dimensional Piano curve to obtain the dimension The converted data, the dimension converted data represents a one-dimensional Piano curve; a "Riemann integral operation" unit, through the operation of Riemann integration, the dimension converted data can be converted into a first representing a plane Geometric data; a unit of "conformally convex space conversion", which is used to perform surface conversion of uniformly convex space of the first geometric data to obtain a second geometric data representing a curved surface; a "super-reflexive Banach space verification" 』Unit, used to confirm whether the surface conversion of the uniformly convex space is successful, and can confirm whether the surface conversion of the uniformly convex space conforms to the dual reversibility; if the surface data represents a differentiable surface, then a secondary reflexive The "Nach space operation" unit can perform dimensionality reduction and mapping operations on the surface represented by the second geometric data, and finally form a third geometric data with a weak * topology (Weak-star Topology) structure; and a The "weak * topological space conversion" unit can convert the third geometric data with weak * topological structure into the normed space through linear operation of the dual space, and then introduce inner product operation and completeness to make the original through the original The key information carried by the first manifold returns to Hilbert space. Each of the above units can be implemented as a software unit, a hardware unit, or a combination of software and hardware based on related conventional technologies. However, this combined Banach space operation module can achieve key space conversion not provided by the prior art. Efficacy, support the manifold operation module in the topology space to help complete the key exchange process of anti-quantum operation, and then convert the first manifold data used in the key exchange process to the Hill through the Banach space operation The original key is solved by the Bert space, so that the quantum operations generally performed in the Hilbert space cannot intervene in the key exchange procedure based on the embodiment of the present creation. At the same time, the further integration of the above "Banacher Space Computing" module with the "Key Hiding Operation Unit" and "Quantum Key Exchange Sub-unit" also effectively avoids many quantum key encryption systems during the key exchange process , Because of the problems caused by the limitations of Hilbert space operations.

In this way, the above embodiments of the present invention can realize a key exchange mechanism against quantum computing attacks. It can further implement mechanisms such as key deformation and key hiding. This technology can be implemented as a high-intensity quantum-resistant key exchange device or system, and can be implemented at the sending end and the receiving end to be communicated. In some embodiments, this technology is compatible to support the operation of traditional keys and quantum keys in different algebraic spaces. In addition to being able to effectively avoid the cracking attacks of general quantum operations during the key exchange process, Relevant technical measures can be realized by devices with reasonable cost, effectively overcoming the bottleneck that most current PQC solutions must operate through high-cost equipment. At the same time, it effectively avoids the lack of implementation of the previous technology in the current PQC scheme, the loopholes of symmetric and asymmetric encryption systems on the market, and the computational limitations of quantum keys in Hilbert space.

In addition, in some embodiments, in the key exchange system capable of resisting quantum operations, in the key operation unit of the manifold operation module, the key deformation operation unit or the key hiding operation unit is optional. In the example of the key operation unit of the manifold operation module, which only implements the key deformation operation unit, the corresponding linear space structure operation module does not need to implement the quantum operator integration calculation unit and the exchangeable operator processing unit . In the example of the key operation unit of the manifold operation module, which only implements the key deformation operation unit, the key exchange unit of the aforementioned manifold operation module may include a conventional key exchange sub-unit, without having to implement quantum gold Key exchange subunit. In the example of the key operation unit of the manifold operation module, which only implements the key hiding operation unit, the key exchange unit of the aforementioned manifold operation module may include a quantum key exchange sub-unit without having to implement a traditional gold Key exchange subunit.

In addition, in some embodiments, the above key exchange system capable of resisting quantum operations, wherein in the key operation unit of the manifold operation module, for the quantum key, the key deformation operation unit and the key hiding operation Units can be combined. The quantum key can first perform the key deformation operation, then the key hiding operation, and then enter the quantum key exchange subunit to achieve the highest strength security mechanism.

In addition, in some embodiments, the above key exchange system capable of resisting quantum operation, wherein the key operation unit of the manifold operation module, for the quantum key, can also be used alone with the key deformation operation unit . The quantum key can only perform the key deformation operation, and then enter the traditional key exchange subunit to avoid known malicious detection on the quantum channel.

In order to fully understand the purpose, features and effects of this creation, the following specific examples and the accompanying drawings are used to explain this creation in detail, as follows:

The following provides multiple embodiments of a key exchange system (or can be implemented as a device) that is resistant to quantum operations, and is compatible with supporting traditional keys or quantum keys to perform operations in different algebraic spaces to help complete secure keys Exchange program. In one embodiment, the system can further implement a mechanism for key deformation or key hiding, or a mechanism for both key deformation and key hiding. In some embodiments, this technology can be implemented as a device or system for high-strength key exchange resistant to quantum operations, such as a system (or device) at the sending end and the receiving end to communicate.

As shown in FIG. 1, it is a system architecture block diagram of an embodiment of a key exchange system that can resist quantum operations. For example, the key exchange system S1000 that can be used for anti-quantum computing includes at least "linear spatial structure computing module M1001", "manifold computing module M1002" and "Banacher spatial computing module M1003". The linear space structure operation module M1001 efficiently provides the basic operations required by various conversions for linear space, and helps to ensure the correctness of various basic conversion operations; the manifold operation module M1002 uses a key operation unit U200 implements key conversion operations, such as key deformation or key hiding, and uses key exchange unit U203 to implement key exchange and other mechanisms corresponding to key conversion methods; in addition, the Banach space operation mode In group M1003, in addition to supporting the manifold operation module in the topology space to help complete the key exchange process of resisting quantum operations, in some embodiments, the deformed or hidden key can be further converted to Greek The Albert key solves the original key.

Please refer to FIG. 2, which is a schematic diagram of an embodiment of a usage scenario of a key exchange system capable of resisting quantum operations in FIG. 1. As shown in FIG. 2, the communication devices 10 and 20 communicate through a communication link LK. The communication devices 10 and 20 respectively install or implement a key exchange system S1000 that can resist quantum computing as illustrated in FIG. 1 and connect to the communication The respective communication modules 100 and 200 in the devices 10 and 20, wherein the communication modules can send or receive keys through the communication link LK. The communication devices 10 and 20 can perform various conventional key exchange procedures. The communication link LK can be a traditional communication channel (such as wired or wireless network communication), or can be implemented as a quantum communication channel (such as an optical quantum channel). The communication devices 10 and 20 respectively install or implement the key exchange system S1000 capable of resisting quantum operations as illustrated in FIG. 1 and used in the key exchange process, so they can produce the effect of key exchanges resistant to quantum operations . Communication devices (such as 10 or 20) can be implemented based on computing devices (such as computers, servers, or other computing devices), and communication modules (such as 100 or 200) can be used in communication devices (such as 10 or 20) for communication The combination of software, hardware or software hardware, such as wired or wireless network card or communication circuit, or the corresponding communication protocol program in the relevant communication channel. For example, when a key exchange procedure needs to be performed between communication devices (such as 10, 20), the key exchange system S1000 that can be used for anti-quantum operations implemented on the communication device (such as 10 or 20) can be used. The shape calculation module M1002, for example, converts the key through the key calculation unit U200 of the manifold calculation module M1002, and uses the key exchange unit U203 to process the converted key. The key exchange unit U203 It can be further used to cooperate with the communication module (such as 100 or 200) of the communication device, so that the converted key processed by the key exchange unit U203 is transmitted to the receiving end through the communication link LK to help the key Exchange program. Therefore, the key exchange unit U203 processes the converted key so that the converted key can be adapted to be transmitted or received through the corresponding communication link LK. When using a communication device (such as 10 or 20) for the key exchange process, the key exchange system S1000 of the communication device that can be used for anti-quantum operations can be configured to communicate with the communication module of the communication device (such as 100 or 200) Cooperative operation, the key exchange system S1000 that can be used for anti-quantum calculation is to promote the key exchange process between communication modules, so it is not limited by the key exchange process implemented between communication devices; for example, The key exchange system S1000 can be implemented as a library, a program interface, or a hardware module, and is used for calling or using a dedicated program, program module, or hardware module that implements the key exchange process in the communication device; for example, It can be implemented as an executable program or a hardware module for the key exchange process based on the key exchange system S1000 that can be used for anti-quantum operations, or can be implemented as a key by the key exchange system S1000 that can be used for anti-quantum operations Exchange program parts. However, the realization of this creation is not limited by the above example. The key exchange program may be various conventional or conventional key exchange programs or other suitable key exchange programs.

For ease of explanation, the following first provides an example of a key exchange system that can resist quantum operations as shown in FIG. 3, in which the manifold operation module is used to implement a key conversion mechanism that combines key deformation and key hiding . Secondly, other embodiments of a key exchange system that can resist quantum operations are provided.

For the key exchange system (hereinafter referred to as system S1000) that is resistant to quantum operations according to the embodiment of the present invention, please refer to FIG. 3, system S1001 includes a "linear spatial structure operation module" M1001A; a "manifold operation module Group" M1002A; and a "Banahe Space Computing Module" M1003.

The above linear space structure computing module M1001A includes: a quantum operator integrated computing unit U101 that can support quantum basic operations in linear space; an exchangeable operator-processing unit U102 that can be used to maintain the integrity of the original message; It can be used to derive the original root generation unit U103 of the applicable cyclic group; a quantum random number generation unit U104 that can provide true random random numbers; and an advanced number theory operation unit U105 that can provide the modular power operation capability under the algebraic structure.

As shown in FIG. 4, for example, the quantum operator integrated computing unit U101 may include the following subunits: a positive transform operator subunit U10101, which is used to perform a linear transform on the linear matrix; a dimensionality reduction operator subunit, which is used In order to reduce the dimension of the positive matrix in the multi-dimensional space; an orthogonal basis filtering subunit U10103 is used to verify the orthogonality of the vector space basis and exclude non-orthogonal basis; an inner product operation unit U10104 is used to Support the inner product calculation of the vector space; an intrinsic operation subunit U10105, used to calculate the eigenvalue (Eigenvalue) and eigenvector (Eigenvector) of the vector space; an Emmett verification subunit U10106, used to confirm the selected quantum operation Is the Hermitian operator; a ground state analysis subunit U10107 to calculate the probability of quantum transition from the ground state; a Laplace transform subunit U10108 to derive mutually perpendicular wave vectors in the vector space; a conversion The operator unit U10109 is used to select a suitable conversion operator to convert the vector space into a conjugate complex space. Each of the above subunits can be implemented as software units, hardware units, or a combination of software and hardware based on related conventional technologies. However, this combined integrated computing unit can cost limited computing costs and efficiently provide various conversions. Basic operations required in linear space, and help to ensure the correctness of various basic conversion operations.

In the preferred embodiment, as shown in FIG. 3, the result of the related linear conversion operation of the quantum operator integrated calculation unit U101 can be further confirmed through the exchangeable operator processing unit U102 to determine whether its inherent value is degraded Phenomenon, and use the exchangeable operator complete set (CSCO) to remove the degradation problem to maintain the integrity of the original message; then the degraded complete conversion result is combined with the quantum random number generation unit of the linear space structure operation module M1001 U104 and primitive root generating unit U103 can further generate cyclic groups with true randomness and suitable algebraic structure.

As shown in FIG. 5, in this preferred embodiment, the so-called advanced number-theoretic operation unit U105 in the linear space structure operation module M1001, which can provide modular power operation capability under an algebraic structure, includes at least the following three subunits ：Generation ring operation subunit U10501, used to support the maintenance and operation of algebraic structure ring; a Galois group operation subunit U10502, used to support the generation and operation of Galois group; and a modular power root The continuous square operation subunit U10503 is used to calculate the continuous square calculation of the modular power root by using the operation program of Yura's theorem and Fermat's little theorem. Each of the above subunits can be implemented as software units, hardware units, or a combination of software and hardware based on related conventional technologies. However, this combined advanced number theory operation unit can provide a highly complex and safe algebraic structure. At the same time, the operation procedure of modular power root is simplified efficiently.

Referring to FIG. 6, in an embodiment, the manifold operation module M1002 of the key exchange system resistant to quantum operations may include at least a key deformation operation unit U201; a key hiding operation unit U202; and a key exchange Unit U203. Therefore, in this embodiment, the key operation unit U200 of the key exchange system S1001 that can be used for anti-quantum calculation includes a key deformation operation unit U201 and a key hiding operation unit U202. When the key is a traditional key, the key transformation operation unit U201 is used to perform a transformation operation on the key to obtain a transformed traditional key as the converted key. When the key is a quantum key, the key hiding operation unit U202 is used to perform a hidden transformation on the key to obtain the hidden quantum key as the converted key.

As shown in FIG. 6, in one embodiment, the key transformation operation unit U201 of the aforementioned manifold operation module M1002 may include the following subunits: a pseudo-Riemannian manifold operation subunit U20101; and a Fensler manifold operation subunit U20102; a Carabic manifold manifold subunit U20103; and a parallel manifold manifold verification subunit U20104. Among them, the pseudo-Riemannian manifold subunit U20101 is used to represent the traditional key in a Lorentzian manifold model; the Finsler manifold subunit U20102 is used to convert the Lorentz manifold The metric is generalized to the Finsler space and transformed into a Finsler manifold; the Carabichu manifold operator unit U20103 is used to express the complex three-dimensional space of the Finsler manifold as a Carabichu quintic polynomial Into a Calabi–Yau manifold; parallelization manifold verification subunit U20104, used to verify whether the converted manifold is a parallelizable manifold to confirm whether the result of this key deformation is applicable. Each of the above subunits can be implemented as software units, hardware units, or a combination of software and hardware based on related conventional technologies. However, this combined computing unit can achieve the key modification function not provided by the prior art. The key is successfully converted into a representation of a topological space. This modification will make it impossible for the traditional key to be correctly analyzed in the process of key exchange using quantum operations based on the Hilbert space basis.

As shown in FIG. 6, in one embodiment, the key concealment operation unit U202 of the aforementioned manifold operation module M1002 may include the following subunits: a symplectic manifold operation subunit U20201, which is used to combine all groups of quantum keys The state is modeled by Symplectic manifold in phase space; a bilateral filter subunit U20202 to eliminate unsuitable quantum states and retain necessary edge information; and a thermonuclear function conversion subunit U20203, using The Dirac delta function converts the position operator of multiple quantum states into a thermonuclear function. Each of the above subunits can be implemented as software units, hardware units, or a combination of hardware and software based on related conventional technologies. However, the combined computing unit can achieve the key hiding effect that is not provided by the prior art. The configuration of the key is converted into the expression of the thermonuclear function, so that the general quantum operation is attacked in the process of key exchange, and the key configuration suitable for quantum operation cannot be found.

As shown in FIG. 7, in an embodiment, the bilateral filtering subunit U20202 of the key hiding operation unit U202 may include the following elements: a decoherent filter D101, used to eliminate the key group with decoherent quantum states To ensure that the decoherent quantum states are not included in the key exchange process; a probability filter D102 can set a probability threshold, and according to the related operation of the wave function, to exclude the occurrence of quantum below the set threshold And a message holder D103, which is used to form a non-manifold edge after the key is deformed. At this time, important messages located at the non-manifold edge are retained through this message holder D103. Each of the above components can be implemented as a software unit, a hardware unit, or a combination of software and hardware based on related conventional technologies. However, the combined bilateral filtering sub-unit can ensure that the sending end and the receiving end are executed during the key exchange process. The accuracy and success rate of key hiding operations.

In the preferred embodiment, please refer to FIG. 6, the key exchange unit U203 of the manifold operation module M1002A can process the deformed key or the hidden key on the transmitting end or the receiving end. , To facilitate the key exchange process, and includes the following subunits: a traditional key exchange subunit U20301; and a quantum key exchange subunit U20302. Among them, the traditional key exchange subunit U20301 is used to receive the results from the key transformation operation unit U201 to facilitate the key exchange process in the traditional channel; the quantum key exchange subunit U20302 is used to receive the key from The result of the arithmetic unit U202 is hidden to facilitate the quantum key exchange procedure.

Referring to FIG. 8, in some embodiments, the conventional key exchange subunit U20301 of the key exchange unit U203 may include the following elements: a topological surface converter D201. For the deformation results from U201, use Chen-Gauss-Bo Inner theorem (Chern-Gauss-Bonnet theorem), the closed even-dimensional Riemannian manifold (even even-dimensional Riemannian manifold) expressed by the integral of the curvature polynomial; and a nonlinear partial differential calculator D202, the curvature polynomial can be various Curvature parameters are carried in different nonlinear parabolic partial differential equations that can evolve over time. Only the transmitting end and receiving end that know the specific target time parameters can obtain various correct curvature parameters. Each of the above components can be implemented as a software unit, a hardware unit, or a combination of software and hardware based on related conventional technologies. However, this combination of traditional key exchange sub-units can achieve promotion and enhanced keys not provided by the prior art The function of the exchange program can convert the manifold of the deformed key into the integral of the curvature polynomial, and parameterize the polynomial, and then use the partial differential equation that evolves with time to help the traditional channel to exchange the key program.

As shown in FIG. 9, in some embodiments, the quantum key exchange subunit U20302 of the key exchange unit U203 includes the following components: a super-singular elliptic curve encryptor D301; a Boardman set generator D302; and A non-trivial zero point generator D303. Among them, for the key hiding conversion result from U202, the Boardman set generator D302 can be used to convert the pair of quantum keys hidden in the thermal kernel function to a Boardman set generated by an infinite iteration (Mandelbrot set) complex plane; then, the non-trivial zero generator D303 finds all non-trivial zeros that are relatively close to the Riemann conjecture based on the key-number pairs expressed in the complex plane of the Bodman set; then, implement The above-mentioned super-singular elliptic curve encryptor D301 selects the appropriate super-singular elliptic curve based on all corresponding non-trivial zero point sets, key pairs in the complex plane, and the generation parameters of the complex plane , Using the Supersingular prime in accordance with the Galois Group as the generating point, to generate encryption parameters that can be used to simulate the ElGamal encryption method, to facilitate further key exchange and verification procedures. Each of the above components can be implemented as a software unit, a hardware unit, or a combination of software and hardware based on related conventional technologies. However, this combined quantum key exchange subunit can achieve key exchange promotion that is not provided by the prior art. Efficacy, the quantum key hidden in the thermal core function is further converted into a super-singular elliptic curve parameter that can be used in the key exchange program, which provides convenience and security for the general quantum key and can be passed through A key exchange process implemented by a device with reasonable cost.

Referring to FIG. 9, in the above preferred embodiment, the quantum key exchange subunit U20302 of the key exchange unit U203 may further include the following two elements: a twin prime number generator D304 and a modular square matrix verifier D305. Among them, the twin prime number generator D304 generates a twin prime number (twin prime) conforming to the twin prime conjecture form according to the prime number corresponding to the non-trivial zero point found by the non-trivial zero point generator D303, and corresponds the non-trivial zero point prime number to it The generated twin prime numbers form a square matrix under a modular operation; then, the above-mentioned modular square matrix validator D305 supports the receiver to perform inverse operation verification on the received super-singular prime number from D301 and the modular square matrix generated by D304, To confirm the accuracy of encrypted data exchange. Each of the above components can be implemented as a software unit, a hardware unit, or a combination of software and hardware based on related conventional technologies. However, this combined quantum key exchange sub-unit can go further than the key exchange function. Ensure the accuracy and success rate of quantum key exchange.

Referring to FIG. 10, in some embodiments, the above-mentioned Banach spatial operation module M1003 includes the following units: a topology-Banacher spatial conversion unit U301; a minimum internal isomorphic analysis unit U302; and a smooth space verification Unit U303; a Piano curve conversion unit U304; a Riemann integral operation unit U305; a "uniformly convex space conversion unit" U306; a "super reflexive Banach space verification unit" U307; a "secondary reflexive Nach spatial computing unit" U308; and a "weak-topology (Weak-star Topology) space conversion unit" U309. Among them, the above-mentioned manifold operation module is used in the topology space to help complete the process of facilitating the key exchange program as realized by U203 of FIG. 6, and a first manifold data can be obtained, and the extension of FIG. 10 Pak-Banagh space conversion unit U301, used to use Theorema Egregium, using the intrinsic invariant of curvature and local equidistant transformation to transfer the first manifold data in the topological space to Pakistan The Banach space becomes a second manifold data; then in the Banach space, using the smallest internal isomorphic analysis unit U302, the second manifold data is used to find the gold through the isometric approximation algorithm The minimum isomorphic commutative group corresponding to the key; then, using the smooth space verification unit U303 described above, through the operation of Cauchy inequality, convergence verification is performed to confirm the correctness of the conversion of the topology space to the Banach space; As a Piano curve conversion unit U304, iteratively performs dimension conversion, that is, performs a multi-dimensional to one-dimensional Peano curve on the exchange group derived from the second manifold data in U302 Conversion to obtain a dimension converted data that can be expressed as a Piano curve; then a Riemann integral operation unit U305 is executed to convert the dimension converted data into the first A geometric data; then using the above-mentioned uniform convex space conversion unit U306, the first geometric data from U305 can be converted into a surface of a uniformly convex space (Uniformly Convex Banach Space) to obtain second geometric data represented by a curved surface ; Then execute the ultra-reflexive Banach space verification unit U307, according to whether the surface represented by the second geometric data can be successfully mapped to the super-reflexive Banach space (super-reflexive Banach space) to confirm the uniform convex space Whether the surface conversion is successful, and it can be confirmed whether the conversion of U306 conforms to the dual reversibility; then the sub-reflexive Banach space (Sub-reflexive Banach space) operation unit U308 is further executed to confirm the surface represented by the second geometric data Whether it is a differentiable surface, and then performing dimensionality reduction and mapping operations on the surface represented by the second geometric data, only retaining its weak distance attribute, and at the same time avoiding the loss of information, and finally forming a weak * Topology (Weak-star Topology) the third geometric data represented by the structure; finally, the weak * topological space conversion unit U309 is implemented to convert the weak * topological structure represented by the third geometric data into the normed space through the linear operation of the dual space , And then introduce the inner product operation and completeness, so that the key information originally carried through the first manifold returns to the Hilbert space in order to solve the original key. Each of the above units can be implemented as a software unit, a hardware unit, or a combination of software and hardware based on related conventional technologies. However, this combined Banach space operation module can achieve key space conversion not provided by the prior art. Efficacy, support the manifold operation module in the topology space to facilitate the completion of the key exchange process of anti-quantum operation, and then convert to the Hilbert space to solve the original key, so that it is generally carried out in Hilbert space The quantum operation of cannot intervene in the key exchange procedure based on the embodiment of this creation.

In addition, in some embodiments, the above key exchange system capable of resisting quantum operations, wherein in the key operation unit of the manifold operation module, the key deformation operation unit or the key hiding operation unit is optional, the following Provide examples to illustrate the implementation.

The key exchange system that can resist quantum computing can be implemented in the application scenarios where traditional keys are used. Please refer to FIG. 11, which is a block diagram of a system architecture of another embodiment of a key exchange system capable of resisting quantum operations. As shown in FIG. 11, a key exchange system S1002 that can be used for anti-quantum computing includes at least a linear spatial structure computing module M1001B, a manifold computing module M1002B, and a Banach spatial computing module M1003. The difference between the key exchange system S1002 for anti-quantum calculation in FIG. 11 and the key exchange system S1001 for anti-quantum calculation in FIG. 3 is that the manifold operation module M1002B can implement at least the key transformation operation unit U201; therefore In the linear space structure operation module M1001B, the quantum operator integration calculation unit U101 and the exchangeable operator processing unit U102 are optional, so it is not necessary to implement the quantum operator integration calculation unit U101 and the exchangeable operator processing unit U102. Please refer to FIG. 12, which is a block diagram of an embodiment of the manifold computing module in FIG. 11. As shown in FIG. 12, the manifold operation module M1002B includes a key deformation operation unit U201 (that is, the key operation unit of the key exchange system S1002 for anti-quantum operation includes the key deformation operation unit U201) and the corresponding key The exchange unit U203 includes a conventional key exchange subunit U20301, which can be implemented with reference to the aforementioned corresponding embodiments (see FIG. 6 or 8). This embodiment may save the cost of equipment initially built when this creation is applied to a traditional key exchange system.

A key exchange system that can resist quantum operations can be implemented in an application scenario where quantum keys are used. Please refer to FIG. 6. In another embodiment of a key exchange system capable of resisting quantum operations, for quantum keys, the key deformation operation unit U201 and the key hiding operation unit U202 can be used in combination. The quantum key can perform the key deformation operation on U201, and then the key hiding operation on U202, and then enter the quantum key exchange subunit U20302. This embodiment can realize the highest strength security mechanism of this creation.

A key exchange system that can resist quantum operations can be implemented in an application scenario where quantum keys are used. Please refer to FIG. 6. In another embodiment of a key exchange system capable of resisting quantum operations, for quantum keys, it can also be used alone with the key transformation operation unit U201. The quantum key can perform the key transformation operation on U201, and then enter the traditional key exchange subunit U20301. This embodiment can realize that the quantum key is disguised in this creation and used in the traditional channel for the key exchange procedure, which is a circumvention security mechanism.

A key exchange system that can resist quantum operations can be implemented in an application scenario where quantum keys are used. Please refer to FIG. 13, which is a block diagram of a system architecture of another embodiment of a key exchange system capable of resisting quantum operations. As shown in FIG. 13, a key exchange system S1003 that can be used for anti-quantum operations includes at least a linear space structure operation module M1001C, a manifold operation module M1002C, and a Banach space operation module M1003. The difference between the key exchange system S1003 for anti-quantum operation in FIG. 13 and the key exchange system S1001 for anti-quantum operation in FIG. 3 is that the manifold operation module M1002C can implement at least the key hiding operation unit U202. Please refer to FIG. 14, which is a block diagram of an embodiment of the manifold computing module in FIG. 13. As shown in FIG. 14, the manifold operation module M1002C includes a key hiding operation unit U202 (that is, the key operation unit of the key exchange system S1003 for anti-quantum operation includes the key hiding operation unit U202) and the corresponding key The exchange unit U203 includes a quantum key exchange subunit U20302, which can be implemented with reference to the aforementioned corresponding embodiment (see FIG. 6 or 9).

In this way, the aforementioned multiple embodiments can implement a key exchange mechanism against quantum computing attacks. It can further implement mechanisms such as key deformation or key hiding, or both key deformation and key hiding mechanisms. This technology can be implemented as a high-intensity quantum-resistant key exchange device or system, and can be implemented at the sending end and the receiving end to be communicated. In some embodiments, this technology is compatible to support traditional keys or quantum keys to perform operations in different algebraic spaces. In addition to being able to effectively avoid the general quantum computing cracking attacks during the key exchange process, this system Related technical means can be realized by computing devices with reasonable cost, effectively overcoming the bottleneck that most current PQC solutions must operate through high-cost equipment. For example, the implementation method corresponding to the key deformation mechanism can be implemented by using a computing device (such as a computer or server with a high-efficiency processor or graphics processor) that is a traditional computer (as opposed to a quantum computer).

This creation has been disclosed in a number of embodiments above, but those skilled in the art should understand that this embodiment is only for depicting this creation, and should not be interpreted as limiting the scope of this creation. It should be noted that all changes and replacements equivalent to this embodiment should be included in the scope of this creation. Therefore, the scope of protection of this creation shall be determined by the scope of the patent application.

10, 20: Communication device 100, 200: communication module LK: Communication link S1000, S1001, S1002, S1003: Key exchange system that can resist quantum computing M1001, M1001A, M1001B, M1001C: linear spatial structure operation module M1002, M1002A, M1002B, M1002C: manifold computing module M1003: Banach spatial computing module U101: Quantum operator integrated computing unit U10101: Modular transformation operator unit U10102: Dimensionality reduction subunit U10103: Orthogonal basis screening subunit U10104: inner product operator unit U10105: Intrinsic operator subunit U10106: Hermit validated subunit U10107: Ground state analysis subunit U10108: Laplace conversion subunit U10109: Conversion operator subunit U102: Exchangeable operator processing unit U103: Original root generation unit U104: quantum random number generation unit U105: Advanced number theory arithmetic unit U10501: Algebraic loop operator unit U10502: Galois group operator unit U10503: Modular power root continuous square operator unit U201: Key transformation arithmetic unit U20101: pseudo-Riemannian manifold operator unit U20102: Finsler manifold operator unit U20103: Kara Picchu manifold operator unit U20104: Parallelization manifold verification subunit U202: Key hiding operation unit U20201: Symplectic manifold operator unit U20202: Bilateral filtering subunit D101: Decoherent filter D102: Probability filter D103: Message saver U20203: Thermonuclear function conversion subunit U203: key exchange unit U20301: Traditional key exchange subunit D201: Topological surface converter D202: Nonlinear partial differential calculator U20302: quantum key exchange subunit D301: Super Singular Elliptic Curve Encryptor D302: Boardman set generator D303: Non-trivial zero generator D304: twin prime number generator D305: Modular Array Validator U301: Topo-Banacher Space Conversion Unit U302: minimum internal isomorphic analysis unit U303: smooth space verification unit U304: Piano curve conversion unit U305: Riemann integral operation unit U306: Uniformly convex space conversion unit U307: Super Reflexive Banach Space Verification Unit U308: Sub-reflexive Banach Space Computing Unit U309: Weak* Topological Space Conversion Unit

FIG. 1 is a block diagram of a system architecture of an embodiment of a key exchange system that is capable of resisting quantum operations. FIG. 2 is a schematic diagram of an embodiment of a usage scenario of the key exchange system capable of resisting quantum computing of FIG. 1. FIG. 3 is a block diagram of a system architecture of a key exchange system that can resist quantum operations according to an embodiment of the present invention. 4 is a block diagram of an embodiment of the quantum operator integrated computing unit in FIG. 3. FIG. 5 is a structural block diagram of an embodiment of the advanced number theory operation unit in FIG. 3. 6 is a block diagram of an embodiment of the manifold operation module in FIG. 3. FIG. 7 is an architectural block diagram of an embodiment of the bilateral filtering subunit in FIG. 3. 8 is a block diagram of an embodiment of the key exchange unit in FIG. 6. 9 is a block diagram of an embodiment of the key exchange unit in FIG. 6. 10 is a block diagram of an embodiment of a Banach spatial computing module in FIG. 1. 11 is a block diagram of a system architecture of another embodiment of a key exchange system capable of resisting quantum operations. FIG. 12 is a block diagram of an embodiment of the manifold computing module in FIG. 11. 13 is a block diagram of a system architecture of another embodiment of a key exchange system capable of resisting quantum operations. 14 is a block diagram of an embodiment of the manifold computing module in FIG. 13.

S1000: Key exchange system that can resist quantum computing

M1001: Linear spatial structure operation module

M1002: Manifold operation module

M1003: Banach spatial computing module

U200: key calculation unit

U203: key exchange unit

Claims (16)

A key exchange system that can resist quantum operations, including: A linear space structure operation module is used to support at least linear space basic operation. The linear space structure operation module includes: A primitive root generation unit, used to derive the applicable cyclic group in linear space; A quantum random number generating unit to provide true randomness for deriving the original root; and An advanced number theory operation unit, used to provide the modular power operation capability under algebraic structure; A first-class computing module, in cooperation with the linear space structure computing module, is used to support the operation of the key with a manifold topology. The manifold computing module includes: A key calculation unit, which is used to perform a manifold topology operation on the key to obtain the converted key; and A key exchange unit for processing the converted keys used by the transmitting end or the receiving end to help strengthen the key exchange process; and A Banach space operation module, in cooperation with the linear space structure operation module and the manifold operation module, is used to support the manifold operation module in the topology space to help complete the key exchange process of anti-quantum operation After that, it is converted into Hilbert space through Banach space operation to solve the original key. The key exchange system capable of resisting quantum computing as described in claim 1, wherein the key computing unit of the manifold computing module includes: A key transformation operation unit is used to perform transformation operation on the key which is a traditional key or a quantum key, so as to obtain a transformed key as the converted key. The key exchange system capable of resisting quantum computing as described in claim 1, wherein the key computing unit of the manifold computing module includes: A key hiding operation unit is used to perform hidden transformation on the key which is a quantum key, so as to obtain the hidden quantum key as the converted key. The key exchange system capable of resisting quantum computing as described in claim 1, wherein the key computing unit of the manifold computing module includes: A key transformation operation unit for performing transformation operation on the key which is a traditional key or a quantum key to obtain a transformed key as the converted key; and A key hiding operation unit, wherein when the key is a quantum key or a quantum key that has undergone the transformation operation, the key hiding operation unit is used to perform a hidden transformation on the key to obtain the hidden gold The key serves as the converted key. The key exchange system capable of resisting quantum computing as described in claim 1, wherein the linear space structure computing module further includes: A quantum operator integrated computing unit for supporting basic quantum operations in linear space; and An exchangeable operator processing unit is used to maintain the integrity of the original message. The key exchange system capable of resisting quantum computing as described in claim 5, wherein the quantum computing unit integrated computing unit includes: A positive transformation operator unit, used to perform a positive transformation on the linear matrix; A dimensionality reduction operator unit, which is used to reduce the dimension of the positive matrix in multi-dimensional space; An orthogonal basis screening subunit is used to verify the orthogonality of the vector space basis; An inner product operator unit used to support inner product calculation of vector space; An intrinsic operator subunit for calculating the eigenvalues and eigenvectors of the vector space; An Hermitian verification subunit, used to confirm whether the selected quantum operator is an Hermitian operator; A ground state analysis subunit for calculating the probability of quantum transition from the ground state; A Laplace transform subunit for deriving mutually perpendicular wave vectors in vector space; A conversion operator unit is used to select a suitable conversion operator to convert the vector space into a conjugate complex space. The key exchange system capable of resisting quantum operation as described in claim 1, wherein the advanced number-theoretic operation unit of the linear space structure operation module includes: The algebraic loop operation subunit is used to support the maintenance and operation of the algebraic structure ring; A Galois group operator subunit, used to support the generation and operation of Galois group; A modular power root continuous square operator subunit is used to process the continuous square calculation of modular power root by using the operation procedures of Yura's theorem and Fermat's little theorem. The key exchange system capable of resisting quantum operation as described in claim 2 or 4, wherein the key transformation operation unit of the manifold operation module includes: A pseudo-Riemannian manifold operator unit, used to represent the traditional key or quantum key in a Lorentz manifold model; A Finnsler manifold operator unit is used to generalize the measure of Lorentz manifold to the Finsler space, so that the Lorentz manifold is transformed into a Finsler manifold; A Cara Picchu manifold operator unit, used to express the complex three-dimensional space of the Finsler manifold as a Cara Picchu quintic polynomial into a Cara Picchu manifold; A parallel manifold verification subunit is used to verify whether the transformed manifold is a parallelizable manifold to confirm whether the result of this key deformation is applicable. The key exchange system capable of resisting quantum operation as described in claim 3 or 4, wherein the key hiding operation unit of the manifold operation module includes: A symplectic manifold operator unit, which is used to model the symmetry manifold of all configurations of the quantum key in phase space; A bilateral filtering subunit to eliminate unsuitable quantum states and retain necessary edge information; A thermonuclear function conversion subunit is used to convert the position operator of multiple quantum states into a thermonuclear function using the Dirac delta function to achieve the effect of quantum key hiding. The key exchange system capable of resisting quantum operation as described in claim 9, wherein the key hides the bilateral filtering sub-unit of the operation unit, including: A decoherent filter to filter out decoherent quantum states; A probability filter to filter out quantum states whose probability of occurrence is lower than the set threshold according to the wave function; A message saver is used to retain the important messages on the non-manifold edge after the key is deformed. The key exchange system capable of resisting quantum operation as described in claim 4, wherein the key exchange unit of the manifold operation module includes: A traditional key exchange subunit, used to convert the manifold data corresponding to the deformed traditional key or quantum key into integral data representing the integral expression of the curvature polynomial, and the polynomial represented in the integral data is given Parameterization, and then use partial differential equations that evolve over time to help traditional channels strengthen key exchange procedures; and A quantum key exchange subunit, which is used to convert the pairs of quantum keys hidden in the thermonuclear function into a complex plane generated by an infinite iteration, and then find the non-trivial zeros close to the corresponding coordinates, and then All corresponding non-trivial zero point sets, key pairs in the complex plane, and the generation parameters of the complex plane are encrypted with a super-singular elliptic curve to help strengthen the process of key exchange and verification. The key exchange system capable of resisting quantum operation as described in claim 2, wherein the key exchange unit of the manifold operation module includes: A traditional key exchange subunit, used to convert the manifold data corresponding to the deformed traditional key or quantum key into integral data representing the integral expression of the curvature polynomial, and the polynomial represented in the integral data is given Parameterization, and then use partial differential equations that evolve over time to help traditional channels strengthen key exchange procedures. The key exchange system capable of resisting quantum operations as described in claim 11 or 12, wherein the traditional key exchange sub-unit of the key exchange unit includes: A topological surface converter used to express the closed Riemannian manifold of even dimensions as an integral of curvature polynomial using the Chen-Gauss-Bonnet theorem; A nonlinear partial differential calculator used to carry various curvature parameters of the curvature polynomial with different nonlinear parabolic partial differential equations that can evolve over time. The key exchange system capable of resisting quantum operation as described in claim 3, wherein the key exchange unit of the manifold operation module includes: A quantum key exchange subunit, which is used to convert the pairs of quantum keys hidden in the thermonuclear function into a complex plane generated by an infinite iteration, and then find the non-trivial zeros close to the corresponding coordinates, and then All corresponding non-trivial zero point sets, key pairs in the complex plane, and the generation parameters of the complex plane are encrypted with a super-singular elliptic curve to help strengthen the process of key exchange and verification. The key exchange system capable of resisting quantum operations as described in claim 14, wherein the quantum key exchange subunit of the key exchange unit includes: A super-singular elliptic curve cipher, used to select a suitable super-singular elliptic curve, using the super-singular prime numbers in accordance with the Galois group as the generation point, to generate encryption parameters that can be used to simulate the ElGamal encryption method; A Boardman set generator, used to convert the pairs of quantum keys hidden in the thermonuclear function to the complex plane of the Boardman set generated by an infinite iteration; A non-trivial zero generator to find all non-trivial zeros that are relatively close to the Riemann conjecture based on the key-number pairs expressed in the complex plane of the Bodman set; A twin prime number generator is used to generate twin prime numbers conforming to the twin prime conjecture form according to the prime numbers corresponding to the found non-trivial zero points, and construct the prime number of the non-trivial zero points and the twin prime numbers generated correspondingly to form a modular operation Square matrix under A modular square matrix verifier is used to support the receiving end to perform inverse operation verification on the received prime number and the generated modular square matrix to confirm the correctness of the encrypted data exchange. The key exchange system capable of resisting quantum computing as described in claim 1, wherein the Banach space computing module is used to support the manifold computing module in the topology space to help complete the key to resist quantum computing After the exchange process, the first manifold data used in the key exchange process is converted into Hilbert space through the Banach space operation to solve the original key. The Banach space operation module includes: A topology-Banacher space conversion unit for transforming the first manifold data to the Banach space using a brilliant theorem to obtain a second manifold data, wherein the first manifold data Expressed in the topography of the topological space, the second manifold data is expressed in the topography of the Banach space; A minimum internal isomorphic analysis unit is used to find the minimum isomorphic exchange group corresponding to the key with the second manifold data through the operation of equidistant approximation in the Banach space; A smooth space verification unit, which is used for the operation of Cauchy inequality to perform convergence verification to confirm the correctness of the conversion from the topological space to the Banach space; A Piano curve conversion unit is used to perform dimensional conversion through iterative calculation, so as to convert the multi-dimensional exchange group to the one-dimensional Piano curve of the second manifold data to obtain the dimensional converted data , The data after this dimension conversion represents a one-dimensional Piano curve; A Riemann integral operation unit, which is used to convert the dimension converted data into a first geometric data representing a plane through the operation of Riemann integration; A uniform convex space conversion unit, which is used to perform surface conversion of the uniform convex space on the first geometric data to obtain a second geometric data representing a curved surface; A hyper-reflexive Banach space verification unit, according to whether the surface represented by the second geometric data can be smoothly mapped to the hyper-reflexive Banach space, to confirm whether the surface conversion of the uniform convex space is successful, and confirm Whether the surface transformation of the uniform convex space conforms to dual reversibility; A reflexive Banach space operation unit is used to confirm whether the surface represented by the second geometric data is a differentiable surface, and then perform dimensionality reduction and mapping operations on the surface represented by the second geometric data, only reserved Its weak distance attribute finally forms a third geometrical data representing a weak * topological structure; A weak* topology space conversion unit, which is used to linearly operate the dual space to convert the weak* topology structure represented by the third geometric data into the normed space, so that the key carried by the first manifold data Information returns to Hilbert space.

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