CN117332865A - Superconducting qubit energy level regulator - Google Patents
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Abstract
The utility model discloses a superconductive quantum bit energy level regulator can regulate and control the SQUID magnetic flux, changes its jump current, and then regulates and control the quantum bit energy level, that is to say, the superconductive quantum bit energy level regulator that this application embodiment provided can be with the energy level of the first excited state of magnetic flux adjustable transmission sub-quantum bit repeatedly adjust to a series of discrete heights to realize Z control and some two door operation, and can adapt to the trend that superconductive quantum bit quantity expanded after combining with RSFQ digital circuit.
Description
Technical Field
The present application relates to the field of quantum computing, and more particularly to a superconducting qubit energy level controller.
Background
Flux tunable transport sub-qubits (Split trans) are common qubits currently used in designing superconducting quantum processors, with Z control and certain double gate operations (e.gGate) needs to be achieved by regulating the level of its energy. Generally, a direct current bias line, namely a Z control line, is designed beside a superconducting quantum interference device (SQUID, superconducting Quantum Interference Device) of a quantum bit, and a part of magnetic field generated by current from room temperature control equipment on the Z control line passes through the SQUID, so that the magnetic flux of the SQUID is regulated by regulating the current, the jump current of the SQUID is changed, and the energy level of the quantum bit is regulated. This approach, while facilitating the continuous change of the current of the Z control line at the room temperature end, requires that each qubit be provided with a Z control line and corresponding room temperature control port. Along with the increase of the number of the quantum bits, the number of the Z control lines is increased, so that a large amount of internal space of the dilution refrigerator is necessarily occupied, and further the expansion of the number of the quantum bits in the future is prevented.
Disclosure of Invention
The utility model provides a superconductive qubit energy level regulator can regulate and control SQUID magnetic flux, changes its jump current, and then regulates and control the qubit energy level to can adapt to the trend that superconductive qubit quantity expanded after combining with RSFQ digital circuit.
The embodiment of the invention provides a superconducting qubit energy level regulator, which comprises the following components: an inductance loop, at least one magnetic flux forward bias circuit and at least one magnetic flux reverse bias circuit; wherein,
the inductance loop is respectively coupled with the superconducting quantum interference device SQUID, the magnetic flux forward bias circuit and the magnetic flux reverse bias circuit in the quantum bit to be regulated, and is used for maintaining external magnetic flux required by the jump current of the SQUID;
the magnetic flux forward bias circuit is used for receiving a first single magnetic flux quantum SFQ pulse signal and increasing the external magnetic flux of the SQUID in the forward direction;
and the magnetic flux reverse bias circuit is used for receiving the second SFQ pulse signal and reversely increasing the external magnetic flux of the SQUID.
In one illustrative example, the quantum bit to be conditioned is a flux tunable transport sub-quantum bit.
In one illustrative example, the inductive loop includes a plurality of serially connected inductors for coupling with SQUIDs, the flux forward circuit, and the flux reverse circuit in the qubit to be conditioned.
In one illustrative example, the magnetic flux forward bias circuit includes: a first josephson junction connected in parallel and an inductance for coupling with the inductance loop.
In an exemplary embodiment, the magnetic flux forward bias circuit further includes: a first resistor connected in parallel with the first josephson junction.
In one illustrative example, the magnetic flux back-bias circuit includes: a second josephson junction connected in parallel and a further inductance for coupling with the inductive loop.
In an exemplary embodiment, the magnetic flux back-bias circuit further includes: a second resistor connected in parallel with the second josephson junction.
In one illustrative example, the inductor loop includes a first inductor, a second inductor, and a third inductor in series; the third inductor is coupled with a seventh inductor in the SQUID to form mutual inductance, the second inductor is coupled with a sixth inductor in the magnetic flux reverse bias circuit to form mutual inductance, and the first inductor is coupled with a fifth inductor in the magnetic flux forward bias circuit to form mutual inductance;
the magnetic flux forward bias circuit comprises a first josephson junction and the fifth inductance in parallel; the connection node of the first Josephson junction and the fifth inductor is an input node of the first SFQ pulse signal, and the fifth inductor and the first inductor in the inductor loop are coupled to form mutual inductance and have the same name end direction;
the magnetic flux reverse bias circuit comprises a second Josephson junction and the sixth inductor which are connected in parallel; the connection node of the second josephson junction and the sixth inductor is an input node of the second SFQ pulse signal, and the sixth inductor and the second inductor in the inductor loop are coupled to form mutual inductance and have opposite same-name end directions;
the magnetic flux adjustable transmission sub-qubit comprises: a parallel connection is used to couple the SQUID and a ground capacitance with the third inductance.
In one illustrative example, the inductor loop further includes a fourth inductor in series with the first inductor, the second inductor, and the third inductor.
In an illustrative example, the SQUID includes two josephson junctions and a seventh inductance for coupling with the third inductance.
In one illustrative example, the fifth inductance and the sixth inductance are coupled to create a mutual inductance.
The superconducting qubit energy level regulator provided by the embodiment of the application can regulate SQUID magnetic flux, change jump current of the SQUID magnetic flux and regulate the qubit energy level, that is, the superconducting qubit energy level regulator provided by the embodiment of the application can repeatedly regulate the energy level of the first excitation state of the flux-adjustable transmission sub-qubit to a series of discrete heights, thereby realizing Z control and certain double-gate operations (such asGate) and is able to accommodate the trend of expanding the number of superconducting qubits when used in conjunction with RSFQ digital circuits.
Additional features and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention. The objectives and other advantages of the invention will be realized and attained by the structure particularly pointed out in the written description and claims hereof as well as the appended drawings.
Drawings
The accompanying drawings are included to provide a further understanding of the technical aspects of the present application, and are incorporated in and constitute a part of this specification, illustrate the technical aspects of the present application and together with the examples of the present application, and not constitute a limitation of the technical aspects of the present application.
FIG. 1 is a schematic diagram of the constitution of a superconducting qubit energy level regulator in an embodiment of the present application;
FIG. 2 is a schematic diagram of the composition of a first embodiment of a superconducting qubit energy level regulator in an embodiment of the present application;
fig. 3 is a schematic diagram of the composition structure of a second embodiment of a superconducting qubit energy level regulator in an embodiment of the present application.
Detailed Description
For the purposes of making the objects, technical solutions and advantages of the present application more apparent, embodiments of the present application will be described in detail hereinafter with reference to the accompanying drawings. It should be noted that, in the case of no conflict, the embodiments and features in the embodiments may be arbitrarily combined with each other.
Fig. 1 is a schematic structural diagram of a superconducting qubit energy level regulator according to an embodiment of the present application, where, as shown in fig. 1, at least includes: an inductive loop 10, at least one magnetic flux forward circuit 20 (which may include an nth magnetic flux forward circuit 20 as shown in fig. 1) and at least one magnetic flux reverse circuit 30 (which may include an mth magnetic flux reverse circuit 30 as shown in fig. 1) as shown in fig. 1; wherein,
an inductance loop 10, which is respectively coupled with the SQUID40, the magnetic flux forward bias circuit 20 and the magnetic flux reverse bias circuit 30 in the quantum bit 50 to be regulated, wherein the inductance loop 10 is used for maintaining external magnetic flux required by the jump current of the SQUID 40;
a magnetic flux forward bias circuit 20 for receiving a first single flux quantum (SFQ, single Flux Quantum) pulse signal and increasing the external magnetic flux of the SQUID40 in the forward direction;
the magnetic flux reverse bias circuit 30 is configured to receive the second SFQ pulse signal and reversely increase the external magnetic flux of the SQUID 40.
In an illustrative example, a fast single flux quantum (RSFQ, rapid Single Flux Quantum) superconducting digital circuit has the advantages of high speed, low power consumption, compatibility with conventional integrated circuit processes, and the like, and can be integrated with superconducting qubits in the same processor, so that a microwave coaxial line for directly controlling the superconducting qubits is omitted, and therefore, controlling the qubits by using the RSFQ superconducting digital circuit would be a viable future extended qubit number scheme.
The superconducting qubit energy level regulator provided by the embodiment of the application can regulate SQUID magnetic flux, change jump current of the SQUID magnetic flux and regulate the qubit energy level, that is, the superconducting qubit energy level regulator provided by the embodiment of the application can repeatedly regulate the energy level of the first excitation state of the flux-adjustable transmission sub-qubit to a series of discrete heights, thereby realizing Z control and certain double-gate operations (such asGate) and is able to accommodate the trend of expanding the number of superconducting qubits when used in conjunction with RSFQ digital circuits.
In an exemplary embodiment, N, M may be the same or different. The value of N, M can be determined according to actual requirements, that is, the number of the magnetic flux forward bias circuits 20 and the magnetic flux reverse bias circuits 30 can be designed according to actual requirements.
In one illustrative example, the quantum bit 50 to be conditioned is a flux tunable transmission sub-quantum bit (Split trans), and the inductive loop 10 may include a plurality of series connected inductors for coupling with the SQUID40, the flux forward bias circuit 20, and the flux reverse bias circuit 30. In one embodiment, as shown in fig. 2, at least a first inductor 101, a second inductor 102, and a third inductor 103 are included; the third inductor 103 is coupled to the seventh inductor 402 in the SQUID40 in the flux tunable transmission sub-qubit 50 to form a mutual inductance, the second inductor 102 is coupled to the sixth inductor 302 in the flux reverse bias circuit 30 to form a mutual inductance, and the first inductor 101 is coupled to the fifth inductor 202 in the flux forward bias circuit 20 to form a mutual inductance.
In one illustrative example, as shown in fig. 2, the magnetic flux forward bias circuit 20 includes: a first josephson junction 201 and a fifth inductance 202 for coupling with the inductive loop 10, the first josephson junction 201 and the fifth inductance 202 being connected in parallel to form the magnetic flux forward biasing circuit 20. The connection node (such as node a in fig. 2) between the first josephson junction 201 and the fifth inductor 202 is an input node of the first SFQ pulse signal, and the fifth inductor 202 is coupled to the first inductor 101 in the inductor loop 10 to form mutual inductance and the same-name end direction is consistent. When the frequency corresponding to the energy level needs to be increased, a corresponding SFQ pulse is input to the node B to positively increase the external magnetic flux required by the jump current of the SQUID 40.
In one illustrative example, as shown in fig. 2, the magnetic flux back bias circuit 30 includes: a second josephson junction 301 and a further sixth inductance 302 for coupling with the inductive loop 10, the second josephson junction 301 and the sixth inductance 302 being connected in parallel to form a magnetic flux back bias circuit 30. The connection node (such as node B in fig. 2) between the second josephson junction 301 and the sixth inductor 302 is an input node of the second SFQ pulse signal, and the sixth inductor 302 is coupled to the second inductor 102 in the inductor loop 10 to form mutual inductance and the opposite direction of the same name. When the frequency corresponding to the energy level needs to be turned down, a corresponding SFQ pulse is input from the node B to inversely increase the external magnetic flux required by the hopping current of SQUID 40.
In one illustrative example, as shown in fig. 2, the magnetic flux forward bias circuit 20 and the magnetic flux reverse bias circuit 30 may be coupled to create a mutual inductance. In one embodiment, the second inductor 202 in the magnetic flux forward bias circuit 20 and the sixth inductor 302 in the magnetic flux reverse bias circuit 30 may be coupled to create a mutual inductance.
In one illustrative example, the magnetic flux forward bias circuit 20 may further include: a first resistor (not shown in the drawings) is connected in parallel with the first josephson junction 201 in the flux forward biasing circuit 20 to form an overdamped or critically damped junction.
In one illustrative example, the magnetic flux back-biasing circuit 30 may further include: a second resistor (not shown in the drawings) is connected in parallel with the second josephson junction 301 in the flux back-biasing circuit 30 to form an overdamped or critically damped junction.
In one illustrative example, as shown in fig. 2, a flux tunable transmission sub-qubit 50 includes: a SQUID40 and a grounded capacitance 501, the SQUID40 and the grounded capacitance 501 being connected in parallel, and a seventh inductance 402 for coupling with the third inductance 103 in the inductive loop 10. In one embodiment, SQUID40 in flux-tunable transmitted sub-qubit 50 includes two josephson junctions, such as josephson junction 4011 and josephson junction 4012 in the embodiment shown in fig. 2, and a self-inductance, i.e., seventh inductance 402. In one embodiment, the josephson junction 4011 is identical to the josephson junction 4012 and SQUID40 is symmetrical.
The following energy level controller with superconducting qubits comprises: an inductive loop 10, a magnetic flux forward bias circuit 20, and a magnetic flux reverse bias circuit 30 are described in detail as examples.
As shown in fig. 3, in this embodiment, the quantum bit 50 to be regulated is a flux-tunable transmission sub-quantum bit; the superconducting qubit energy level regulator in the embodiment comprises 1 inductance loop 10, 1 magnetic flux forward bias circuit 20 and 1 magnetic flux reverse bias circuit 30; wherein,
an inductive loop 10 for maintaining an external magnetic flux required for the magnetic flux to adjustably transfer the hopping current of the SQUID40 in the sub-qubit 50, in this embodiment, the inductive loop 10 includes 4 series-connected inductors: first inductor 101, i.e. inductor L n1 Second inductor 102 is inductor L n2 Third inductance 103, i.e. inductance L 0 Fourth inductor 105, i.e. inductor L u Wherein the first inductor 101 is the inductor L n1 Second inductor 102 is inductor L n2 Third inductance 103, i.e. inductance L n Respectively with the fifth inductor 202, i.e. the inductor L, in the magnetic flux forward biasing circuit 20 1 The sixth inductor 302 in the magnetic flux reverse bias circuit 30 is the inductor L 2 And a seventh inductor 104, namely inductor L, in SQUID40 s The mutual inductances corresponding to the coupling are M respectively 1 、M 2 And M, the corresponding coupling coefficients are k respectively 1 、k 2 And k. In one embodiment, the fourth inductance L in the inductive loop 10 is adjusted u The induced current corresponding to a single SFQ pulse input to the flux forward bias circuit 20 or the flux reverse bias circuit 30 can be adjusted, and the external flux corresponding to the SQUID40 can be adjusted.
A flux-biasing circuit 20 for receiving the first SFQ pulse signal and increasing the external flux of the SQUID40 in the forward direction, wherein the flux-biasing circuit 20 comprises 1 Josephson junction 101, i.e. Josephson junction J 1 And 1 fifth inductor 202, i.e. inductor L 1 Formed in parallel with inductance L 1 Is coupled to the inductor L in the inductor loop 10 n1 Is identical to the same-name end of the inductor L 1 Also with inductance L in magnetic flux back-bias circuit 30 2 Coupling, mutual inductance is M 0 Coupling coefficient k 0 And the same name ends are consistent;
a magnetic flux reverse bias circuit 30 for receiving the second SFQ pulse signal and reducing or reversely increasing the external magnetic flux of the SQUID40, in which the magnetic flux reverse bias circuit 30 comprises 1 Josephson junction 201, i.e. Josephson junction J 2 And 1 sixth inductor 302, inductor L 2 Formed in parallel with inductance L 2 Is coupled to the inductor L in the inductor loop 10 n2 Opposite to the homonymous end of (c).
In the embodiment shown in fig. 3, the qubit regulated by the superconducting qubit energy level regulator in this embodiment, that is, the flux-adjustable transmission sub-qubit 50, is formed by connecting a SQUID40 and a grounding capacitor 501 in parallel. Wherein the SQUID40 is symmetrical, with two Josephson junctions, josephson junction 4011 (Josephson junction J in FIG. 3 q1 And J q2 Similarly, the seventh inductor 104 in the SQUID40 is the inductor L s 。
The parameter designs in the superconducting qubit energy level regulator embodiment shown in fig. 3 are shown in table 1:
note that: in Table 1, Φ 0 ≈2.0678×10 -15 Wb is a flux quantum.
TABLE 1
As shown in fig. 3, in combination with table 1, in one embodiment, the qubit idle frequency is 6.0GHz, and if it is desired to adjust its frequency to 5.5GHz, that is, to lower the frequency corresponding to the energy level of the first excited state by 0.5GHz with respect to the ground state frequency, 1 SFQ pulse may be input at the node B. In one embodiment, if it is desired to restore the frequency to 6.0GHz, then 1 SFQ pulse may be input at node A. Here, the amount of change in the qubit first excited state level or the qubit frequency is related to the number of input SFQ pulses. If improved regulation accuracy is desired, this may be accomplished in one embodiment by increasing the number of flux forward biasing circuits 20 and/or flux reverse biasing circuits 30 that differ from the inductive coupling coefficient of inductive loop 10.
The working principle of the superconducting qubit energy level controller in this embodiment is as follows:
according to kirchhoff's voltage law, the potentials at node a, node B, and node C may be shown in equations (1), (2), and (3), respectively:
wherein i is 1 、i 2 、i、i s The currents of the inductors in the magnetic flux forward bias circuit 20, the magnetic flux reverse bias circuit 20, the inductor loop 10, and the SQUID40, respectively. Integrating equation (1), equation (2) and equation (3) over time (from 0 to t), respectively, yields equation (4), equation (5) and equation (6):
-M 2 i 2 (t)+L o i(t)+Mi s (t)+L u i(t)
since node C is grounded, then,it is assumed that the number of the sub-blocks,
equation (7) and equation (8) are the integral of the inductance voltage of the magnetic flux forward bias circuit 20 and the magnetic flux reverse bias circuit 30, respectively, with respect to time. Assume again that:
inductance L 3 =L n1 +L n2 +L o +L u (9)
Then, equation (6) can be expressed as shown in equation (10):
0=L 3 i(t)+M 1 i 1 (t)-M 2 i 2 (t)+Mi s (t) (10)
in this embodiment, assuming that weak coupling is ensured between the inductance loop 10 and the quantum bit SQUID40 when designing the circuit layout, the influence of the current of the SQUID40 on the inductance loop 10 is small, i.e. the mutual inductance M is much smaller than the inductance L 3 And also because of current i s The magnitude of (t) does not exceed the critical current of the josephson junction (e.g. tens of nanoamperes (nA)), i (t) (tens of microamperes (uA)) can be made much larger than it by circuit design, so Mi s (t) is much smaller than L 3 i (t), mi in equation (10) may be omitted s (t), formula (10) is reduced to formula (11):
0=L 3 i(t)+M 1 i 1 (t)-M 2 i 2 (t) (11)
simultaneous equation (4), equation (5), equation (7), equation (8), equation (11), equation (12) is obtained:
in the formula (12) of the present invention,
can be solved toNamely, formula (16) shows:
thus, equation (17) can be obtained:
a qubit frequency of f q The difference between the ground state and the first excited state energy level is shown in formula (18):
wherein, the capacitor can be chargedReduced external magnetic flux->Equivalent Josephson junction energy of SQUID->
In this embodiment, it is assumed that, initially, node a and node B have no voltage signal, and when the external magnetic flux is 0, the qubit is idle,f q =6.0 GHz. In one embodiment, if 1 SFQ pulse signal is input at node B, i.e.Then, i (t) = 66.17uA is obtained according to formula (17). Therefore, the external magnetic flux formed by the current of the inductive loop 10 to the SQUID40 of the qubit is Φ sq =Mi(t)=3.705×10 -16 Wb, then, is regulated and reduced, and is calculated by a formula (18), the energy level of the first excited state of the quantum bit is reduced relative to the energy level of the ground state, and the frequency becomes f q =5.5 GHz, the qubit is busy. In one embodiment, if it is desired to restore the idle state, 1 SFQ pulse signal needs to be input at node A, thus Φ A =Φ 0 And phi is B =Φ 0 . This is known from equation (17) such that i (t) =0, i.e., the external magnetic flux returns to 0, and the qubit returns to the idle state.
In one embodiment, controlling the time that the qubit is in a busy state may enable a single gate operation that changes the qubit phase. If the qubit is coupled with other qubits while it is busy and the coupling time is controlled, then it can be achievedThe door is operated.
Although the embodiments disclosed in the present application are described above, the embodiments are only used for facilitating understanding of the present application, and are not intended to limit the present application. Any person skilled in the art to which this application pertains will be able to make any modifications and variations in form and detail of implementation without departing from the spirit and scope of the disclosure, but the scope of the application is still subject to the scope of the claims appended hereto.
Claims (11)
1. A superconducting qubit energy level regulator comprising: an inductance loop, at least one magnetic flux forward bias circuit and at least one magnetic flux reverse bias circuit; wherein,
the inductance loop is respectively coupled with the superconducting quantum interference device SQUID, the magnetic flux forward bias circuit and the magnetic flux reverse bias circuit in the quantum bit to be regulated, and is used for maintaining external magnetic flux required by the jump current of the SQUID;
the magnetic flux forward bias circuit is used for receiving a first single magnetic flux quantum SFQ pulse signal and increasing the external magnetic flux of the SQUID in the forward direction;
and the magnetic flux reverse bias circuit is used for receiving the second SFQ pulse signal and reversely increasing the external magnetic flux of the SQUID.
2. The superconducting qubit energy level regulator of claim 1 wherein the qubit to be regulated is a flux-tunable transport sub-qubit.
3. The superconducting qubit energy level regulator of claim 1 wherein the inductive loop comprises a plurality of series-connected inductors for coupling with SQUIDs, the flux forward circuit, the flux reverse circuit in the qubit to be regulated.
4. The superconducting qubit energy level regulator of claim 1 wherein the magnetic flux forward biasing circuit comprises: a first josephson junction connected in parallel and an inductance for coupling with the inductance loop.
5. The superconducting qubit energy level regulator of claim 4 wherein the magnetic flux forward biasing circuit further comprises: a first resistor connected in parallel with the first josephson junction.
6. The superconducting qubit energy level regulator of claim 1 wherein the magnetic flux reverse bias circuit comprises: a second josephson junction connected in parallel and a further inductance for coupling with the inductive loop.
7. The superconducting qubit energy level regulator of claim 6 wherein the magnetic flux reverse bias circuit further comprises: a second resistor connected in parallel with the second josephson junction.
8. The superconducting qubit energy level regulator of claim 2 wherein,
the inductance loop comprises a first inductance, a second inductance and a third inductance which are connected in series; the third inductor is coupled with a seventh inductor in the SQUID to form mutual inductance, the second inductor is coupled with a sixth inductor in the magnetic flux reverse bias circuit to form mutual inductance, and the first inductor is coupled with a fifth inductor in the magnetic flux forward bias circuit to form mutual inductance;
the magnetic flux forward bias circuit comprises a first josephson junction and the fifth inductance in parallel; the connection node of the first Josephson junction and the fifth inductor is an input node of the first SFQ pulse signal, and the fifth inductor and the first inductor in the inductor loop are coupled to form mutual inductance and have the same name end direction;
the magnetic flux reverse bias circuit comprises a second Josephson junction and the sixth inductor which are connected in parallel; the connection node of the second josephson junction and the sixth inductor is an input node of the second SFQ pulse signal, and the sixth inductor and the second inductor in the inductor loop are coupled to form mutual inductance and have opposite same-name end directions;
the magnetic flux adjustable transmission sub-qubit comprises: a parallel connection is used to couple the SQUID and a ground capacitance with the third inductance.
9. The superconducting qubit energy level regulator of claim 8 wherein the inductive loop further comprises a fourth inductance in series with the first inductance, the second inductance, and the third inductance.
10. The superconducting qubit energy level regulator of claim 8 or 9 wherein the SQUID comprises two josephson junctions and a seventh inductance for coupling with the third inductance.
11. The superconducting qubit energy level regulator of claim 8 or 9, wherein the fifth inductance and the sixth inductance are coupled to produce mutual inductance.
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