CN109257107A - A kind of controllable remote control method of light quantum state - Google Patents
A kind of controllable remote control method of light quantum state Download PDFInfo
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Abstract
The present invention relates to Technique on Quantum Communication field, specially a kind of controllable remote control method of light quantum state.This method, in conjunction with controllable remote control strategy, is tangled MS state as quantum entanglement channel using non-maximum, manipulates agreement according to controllable long-range quantum state, the remote control that quantum state determines is realized under the control of controlling party by scientific and reasonable setting quantum orthogonal measuring base.Since long-range quantum state manipulation agreement of the invention is controlled by controlling party, the controllable remote control of quantum state could be only completed with controlling party cooperation, the present invention, which is not necessarily based on, simultaneously ideally tangles channel as quantum entanglement channel using maximum, therefore compared with existing quantum state remote control method, the present invention has higher safety and stability, effectively increases communication efficiency.
Description
Technical field
The present invention relates to Technique on Quantum Communication field, specially a kind of controllable remote control method of light quantum state.
Background technique
Quantum state is the information carrier of quantum communications and quantum calculation, and load safety of information on quantum state receives not
The guarantee of the fundamental principles of quantum mechanics such as deterministic dependence, unclonable principle, therefore can guarantee being perfectly safe for communication,
Middle quantum state manipulation is one of vital task of quantum communications.The current quantum state remote control scheme overwhelming majority is all based on
Remote control scheme of the channel as quantum entanglement channel, or the amount based on partially entangled states are ideally tangled using maximum
Sub- state probability remote control scheme, without controllably remotely operating scheme based on the quantum state for partially tangling channel determination, mainly
Reason is the quantum measurement method for being difficult to find that suitable quantum entanglement channel and matching.Since existing quantum state is remote
Journey control method is all based on ideally, therefore the stability manipulated and safety are all very poor.Quantum current simultaneously is logical
Believe sphere of learning, is mostly the research about light quantum calculation method, such as China Science & Technology University's Ph.D. Dissertation's " light
Quantum calculation and its algorithm are realized ", author: Cai Xindong, the time: in May, 2015, usually this kind of research all only have the detailed of light quantum
Thin calculation method, but without specifically based on the light quantum control method under non-ideal conditions, therefore current quantum communications field
The efficiency and safety of quantum communications can not still be effectively improved.
Summary of the invention
In view of the above-mentioned problems, a kind of controllable remote control method of light quantum state of the present invention, passes through scientific and reasonable set amount
Sub- orthogonal measuring base tangles MS state as quantum entanglement channel, according to controllable remote in conjunction with controllable remote control strategy, using non-maximum
Journey quantum state manipulates agreement, and the remote control that quantum state determines is realized under the control of controlling party.Since long-range quantum state manipulates
Agreement is controlled by controlling party, the controllable remote control of quantum state could be only completed with controlling party cooperation, simultaneously
The present invention, which is not necessarily based on, ideally tangles channel as quantum entanglement channel using maximum, therefore the present invention and existing quantum state
Remote control method will be high compared to safety and stability, to efficiently solve the above problem.
The technical solution adopted by the present invention is that:
A kind of controllable remote control method of light quantum state, it is characterised in that include the following steps:
Step (1): communication tripartite shares 2 non-maximums and tangles MS state Plural number d in formula1、d2、d3、d4Meet Normalized Relation: | d1|2+|d2|2
=1, | d3|2+|d4|2=1, the communication tripartite is sender, recipient, controlling party, and described sender possesses the first transmission grain
Sub- A1Particle A is sent with second2, the recipient possesses the first reception particle B1Particle B is received with second2, the controlling party gathers around
There is the first control particle C1With the second control particle C2, the recipient also possess third receive particle b, the list of the particle b
Quantum state is | x >b=(α0|0>+α1|1>)b, factor alpha in formula0、α1Meet Normalized Relation: | α0|2+|α1|2=1, wherein | 0 >
Light quantum horizontal state of polarization is represented, | 1 > represent light quantum perpendicular polarisation state;
Step (2): recipient receives particle b, the first reception particle B to third respectively1The measurement of Bell's base is executed to be surveyed
Measure result i1And i2, wherein i1=0 or 1, i2=0 or 1, controlling party is to the first control particle C1Projective measurements are executed to be surveyed
Measure result k1, wherein k1=0 or 1, particle A is sent by first at this time1, first receive particle B1, first control particle C1And third
The composite system state for receiving particle b composition is expressed as:
,
In formulaRepresent the first reception particle B1The state after particle b carries out the measurement of Bell's base is received with third,WhereinIndicate k1+i1Mould 2,Represent the first transmission particle A1With
First control particle C1It is collapsed into and measurement result i1、 i2Corresponding state;
Step (3): recipient is by measurement result i1、i2It is transmitted to sender, controlling party is by measurement result k1It is transmitted to transmission
Fang Hou, first sends particle A1State be then collapsed into and measurement result i1、i2、k1Corresponding stateThen sender is according to particle A1State in whichSelection is to particle A1It holds
The corresponding local of row just operatesRebuild particle A1Single quantum state originally, whereinOr 1, it is described Andi1Corresponding relationship it is as shown in the table:
Step (4): particle A is sent first1After the original single quantum state of upper reconstruction, sender manipulates U with quantumxBy grain
Sub- A1State evolution is dbjective stateFactor alpha in formula '0、α′1Meet Normalized Relation: | α0'|2
+|α1'|2=1, then sender sends particle A to first respectively again1, second send particle A2The measurement of Bell's base is executed to be surveyed
Measure result i3And i4, wherein i3=0 or 1, i4=0 or 1, controlling party is to the second control particle C2Projective measurements are executed to obtain
Measurement result k2, wherein k2=0 or 1, particle A is sent by first at this time1, second send particle A2, second receive particle B2With
Two control particle C2The composite system state of composition is expressed as:
,
In formulaRepresent particle A1, particle A2State after carrying out the measurement of Bell's base,
WhereinIndicate k2+i3Mould 2,Represent the second reception particle B2With the second control particle C2It is collapsed into and is tied with measurement
Fruit i3、i4Corresponding state;
Step (5): sender is by measurement result i3、i4It is transmitted to recipient, controlling party is by measurement result k2It is transmitted to reception
Fang Hou, second receives particle B2State be then collapsed into and measurement result i3、i4、k2Corresponding stateThen recipient is according to particle B2State in whichSelection is to particle B2
Corresponding local is executed just to operateIn formulaOr 1, it is describedAndi3Correspondence
Relationship is as shown in the table:
To particle B2After having executed local just operation, according toI.e. in particle B2Upper completion prepares mesh
Standard state.
Further, the first control particle C1Execute projective measurements after state beWork as k1When=0,
Work as k1When=1,
Further, described in step (2)With measurement result i1、i2Corresponding relationship it is as follows:
Work as i1=i2=0,
Work as i1=0, i2=1,
Work as i1=1, i2=0,
Work as i1=1, i2=1,
Particle b executes the state after Bell's base measures | x0>b=(α0|0>+α1|1>)b、 |x1>b=(α0|0>-α1|1>)b、|x′0
>b=(α0|1>+α1|0>)b、|x′1>b=(α0|1>-α1|0>)b, particle A at this time1State assigned by particle b, therefore in formula
Further, the second control particle C2Execute projective measurements after state beWork as k2When=0,
Work as k2When=1,
Further, described in step (4)With measurement result i3、i4Corresponding relationship it is as follows:
Work as i3=i4=0,
Work as i3=0, i4=1,
Work as i3=1, i4=0,
Work as i3=1, i4=1,
Particle B2State by particle A1It is assigned after executing the measurement of Bell's base, therefore in formula
Further, in step (3), recipient passes through classical channel for measurement result i1、i2It is transmitted to sender, is controlled
Side passes through classical channel for measurement result k1It is transmitted to sender.
Further, in step (5), sender passes through classical channel for measurement result i3、i4It is transmitted to recipient, is controlled
Side passes through classical channel for measurement result k2It is transmitted to recipient.
It can effectively reduce cost of manufacture by classical transmission measurement result.
For remote control light quantum state, recipient first receives particle b, the first reception particle B to third1Execute Bell
Base measurement simultaneously sends measurement result to sender by classical channel, while controlling party is to the first control particle C1It executes corresponding
Ground projective measurements, and measurement result is sent to sender by classical channel, then sender is according to recipient and control
The measurement result of system side sends particle A first1Upper reconstruction single quantum state, then U is manipulated with quantumxBy particle A1State evolution is
Dbjective stateThen sender sends particle A to first again1, second send particle A2It executes the measurement of Bell's base and will survey
Amount result sends recipient to by classical channel, while controlling party is to the second control particle C2Projective measurements are executed, and
Measurement result is sent to recipient by classical channel, last recipient is according to the selection of the measurement result of sender and controlling party
Particle B is received to second2Local just operation is executed to complete in particle B2Upper preparation target state
In conclusion by adopting the above-described technical solution, beneficial effects of the present invention:
A kind of controllable remote control method of light quantum state of the present invention, compared with existing quantum state remote control technology,
Have many advantages, such as that safety and stability is higher, to improve communication efficiency, and implements the required optical device of the present invention
It is common linear optical element, therefore easy to operate, practical, there is large-scale promotion application prospect.
Detailed description of the invention
In order to illustrate more clearly of example or technical solution in the prior art of the invention, below will to embodiment or
Required attached drawing, which is done, in description of the prior art simply introduces, it is clear that the accompanying drawings in the following description is only of the invention one
A little examples under the premise of not paying creativeness, can also obtain according to these attached drawings to those skilled in the art
Obtain other attached drawings.
A kind of flow chart of the controllable remote control method of light quantum state of Fig. 1;
Fig. 2 structure chart of the embodiment of the present invention.
Specific embodiment
Below in conjunction with the attached drawing in present example, technical solution in the embodiment of the present invention carries out clear, complete
Ground description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.Based on this
Embodiment in invention, those of ordinary skill in the art are obtained every other without making creative work
Embodiment shall fall within the protection scope of the present invention.
Embodiment:
As shown in Fig. 2, sender is by first single quantum door, third list quantum door and the second photon detector in the present embodiment
BSM2 composition, recipient are made of the single quantum door of the first photon detector BSM1 and second, and controlling party is by third photon detector
S3 and the 4th photon detector S4 composition, the first ejecting end of the first photon detector BSM1, the second ejecting end are respectively with the
The 4th of one single quantum door injects end, third injects end connection, the third photon detector S3 ejecting end and first single quantum
The family status two injects end connection, and described first single quantum door ejecting end is injected end with the third list quantum door and connect, the third
Single quantum door ejecting end and the second photon detector BSM2 first inject end and connect, the second photon detector BSM2 the
One ejecting end, the second ejecting end are injected end, the 4th injection end with second single quantum family status three respectively and are connect, described second single quantum
The family status two is injected end and is connect with the 4th photon detector S4 ejecting end, described second single quantum door ejecting end and internal quantum
Memory connection;
The first photon detector BSM1 first injects end and the second input terminal, second single quantum family status one inject end,
Third photon detector S3 injects end, the 4th photon detector S4 injects end, first single quantum family status one injects end, the second photon
Detector BSM2 second injects end and successively connect with the first to the 7th ejecting end of light quantum signal source;Described first single quantum door,
Second single quantum door and third list quantum door are slide.
As shown in Figure 1, a kind of controllable remote control method of light quantum state, includes the following steps:
Step (1): communication tripartite shares 2 non-maximums and tangles MS state Plural number d in formula1、d2、d3、d4Meet Normalized Relation: | d1|2+|d2|2
=1, | d3|2+|d4|2=1, the communication tripartite is sender, recipient, controlling party, and described sender possesses the first transmission grain
Sub- A1Particle A is sent with second2, the recipient possesses the first reception particle B1Particle B is received with second2, the controlling party gathers around
There is the first control particle C1With the second control particle C2, the recipient also possess third receive particle b, the list of the particle b
Quantum state is | x >b=(α0|0>+α1|1>)b, factor alpha in formula0、α1Meet Normalized Relation: | α0|2+|α1|2=1, wherein | 0 >
Light quantum horizontal state of polarization is represented, | 1 > represent light quantum perpendicular polarisation state;
Step (2): the first photon detector BSM1 receives particle b, the first reception particle B to third respectively1Execute Bell
Base measurement obtains measurement result i1And i2, wherein i1=0 or 1, i2=0 or 1, third photon detector S3 are to the first control particle
C1It executes projective measurements and obtains measurement result k1, the first control particle C1Execute projective measurements after state beWork as k1When=0,
Work as k1When=1,Particle A is sent by first at this time1, first receive particle
B1, first control particle C1The composite system state for receiving particle b composition with third is expressed as:
,
In formulaRepresent the first reception particle B1The state after particle b carries out the measurement of Bell's base is received with third,WhereinIndicate k1+i1Mould 2,Represent the first transmission particle A1With
First control particle C1It is collapsed into and measurement result i1、 i2Corresponding state, whereinWith measurement result i1、i2Correspondence
Relationship is as follows:
Work as i1=i2=0,
Work as i1=0, i2=1,
Work as i1=1, i2=0,
Work as i1=1, i2=1,
In formula
Step (3): the first photon detector BSM1 is by measurement result i1、i2Pass through classical transmission to first single quantum
Door, third photon detector S3 is by measurement result k1Behind the door by classical transmission to first single quantum, first sends particle A1
State be then collapsed into and measurement result i1、i2、k1Corresponding stateThen
First single quantum door is according to particle A1State in whichSelection is to particle A1Corresponding local is executed just to operateI.e.
Rebuild particle A1Single quantum state originally, whereinOr 1, it is describedAndi1Corresponding relationship
It is as shown in the table:
Step (4): particle A is sent first1After the original single quantum state of upper reconstruction, sender manipulates U with quantumxBy grain
Sub- A1State evolution is dbjective stateFactor alpha in formula '0、α′1Meet Normalized Relation: | α0'|2
+|α1'|2=1, then sender sends particle A to first respectively again1, second send particle A2The measurement of Bell's base is executed to be surveyed
Measure result i3And i4, wherein i3=0 or 1, i4=0 or 1, controlling party is to the second control particle C2Projective measurements are executed to obtain
Measurement result k2, wherein k2=0 or 1, particle A is sent by first at this time1, second send particle A2, second receive particle B2With
Two control particle C2The composite system state of composition is expressed as:
,
In formulaRepresent particle A1, particle A2State after carrying out the measurement of Bell's base,
WhereinIndicate k2+i3Mould 2,Represent the second reception particle B2With the second control particle C2It is collapsed into and is tied with measurement
Fruit i3、i4Corresponding state, whereinWith measurement result i3、i4Corresponding relationship it is as follows:
Work as i3=i4=0,
Work as i3=0, i4=1,
Work as i3=1, i4=0,
Work as i3=1, i4=1,
In formula,
Step (5): the second photon detector BSM2 is by measurement result i3、i4Pass through classical transmission to second single quantum
Door, the 4th photon detector S4 is by measurement result k2Behind the door by classical transmission to second single quantum, second receives particle B2
State be then collapsed into and measurement result i3、i4、k2Corresponding stateThen
Second single quantum door is according to particle B2State in whichSelection is to particle B2Corresponding local is executed just to operateFormula
InOr 1, it is describedAndi3Corresponding relationship it is as shown in the table:
To particle B2After having executed local just operation, according toI.e. in particle B2Upper completion prepares mesh
Standard state.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all in essence of the invention
Within mind and principle, any modification, equivalent replacement, improvement and so on be should all be included in the protection scope of the present invention.
Claims (7)
1. a kind of controllable remote control method of light quantum state, it is characterised in that include the following steps:
Step (1): communication tripartite shares 2 non-maximums and tangles MS stateIt is plural in formula
d1、d2、d3、d4Meet Normalized Relation: | d1|2+|d2|2=1, | d3|2+|d4|2=1, the communication tripartite is sender, receives
Side, controlling party, described sender possess the first transmission particle A1Particle A is sent with second2, the recipient possesses the first reception
Particle B1Particle B is received with second2, the controlling party possesses the first control particle C1With the second control particle C2, the recipient
Also possess third and receive particle b, the single quantum state of the particle b is | x >b=(α0|0>+α1|1>)b, factor alpha in formula0、α1Meet
Normalized Relation: | α0|2+|α1|2=1, wherein | 0 > light quantum horizontal state of polarization is represented, | 1 > represent light quantum perpendicular polarisation state;
Step (2): recipient receives particle b, the first reception particle B to third respectively1It executes the measurement of Bell's base and obtains measurement result
i1And i2, wherein i1=0 or 1, i2=0 or 1, controlling party is to the first control particle C1It executes projective measurements and obtains measurement result
k1, wherein k1=0 or 1, particle A is sent by first at this time1, first receive particle B1, first control particle C1Grain is received with third
The composite system state of sub- b composition is expressed as:
In formulaRepresent the first reception particle B1The state after particle b carries out the measurement of Bell's base is received with third,WhereinIndicate k1+ i1 mould 2,Represent the first transmission particle A1
With the first control particle C1It is collapsed into and measurement result i1、i2Corresponding state;
Step (3): recipient is by measurement result i1、i2It is transmitted to sender, controlling party is by measurement result k1It is transmitted to sender
Afterwards, first particle A is sent1State be then collapsed into and measurement result i1、i2、k1Corresponding stateThen sender is according to particle A1State in whichSelection is to particle A1It holds
The corresponding local of row just operatesRebuild particle A1Single quantum state originally, whereinOr 1, it is describedAndi1Corresponding relationship it is as shown in the table:
Step (4): particle A is sent first1After the original single quantum state of upper reconstruction, sender manipulates U with quantumxBy particle A1
State evolution is dbjective stateFactor alpha in formula '0、α′1Meet Normalized Relation: | α0'|2+|
α1'|2=1, then sender sends particle A to first respectively again1, second send particle A2The measurement of Bell's base is executed to be measured
As a result i3And i4, wherein i3=0 or 1, i4=0 or 1, controlling party is to the second control particle C2Projective measurements are executed to be measured
As a result k2, wherein k2=0 or 1, particle A is sent by first at this time1, second send particle A2, second receive particle B2With the second control
Pelletize sub- C2The composite system state of composition is expressed as:
In formulaRepresent particle A1, particle A2State after carrying out the measurement of Bell's base,
WhereinIndicate k2+i3Mould 2,Represent the second reception particle B2With the second control particle C2It is collapsed into and is tied with measurement
Fruit i3、i4Corresponding state;
Step (5): sender is by measurement result i3、i4It is transmitted to recipient, controlling party is by measurement result k2It is transmitted to recipient
Afterwards, second particle B is received2State be then collapsed into and measurement result i3、i4、k2Corresponding stateThen recipient is according to particle B2State in whichSelection is to particle B2
Corresponding local is executed just to operateIn formulaOr 1, it is describedAndi3Correspondence
Relationship is as shown in the table:
To particle B2After having executed local just operation, according toI.e. in particle B2Upper completion prepares target
State.
2. a kind of controllable remote control method of light quantum state according to claim 1, it is characterised in that: first control
Pelletize sub- C1Execute projective measurements after state beWork as k1=0
When,Work as k1When=1,
3. a kind of controllable remote control method of light quantum state according to claim 1, which is characterized in that in step (2),
It is describedWith measurement result i1、i2Corresponding relationship it is as follows:
Work as i1=i2=0,
Work as i1=0, i2=1,
Work as i1=1, i2=0,
Work as i1=1, i2=1,
In formula
4. a kind of controllable remote control method of light quantum state according to claim 1, it is characterised in that: second control
Pelletize sub- C2Execute projective measurements after state be
Work as k2When=0,
Work as k2When=1,
5. a kind of controllable remote control method of light quantum state according to claim 1, which is characterized in that in step (4),
It is describedWith measurement result i3、i4Corresponding relationship it is as follows:
Work as i3=i4=0,
Work as i3=0, i4=1,
Work as i3=1, i4=0,
Work as i3=1, i4=1,
In formula,
6. a kind of controllable remote control method of light quantum state according to claim 1, it is characterised in that: in step (3),
Recipient passes through classical channel for measurement result i1、i2It is transmitted to sender, controlling party passes through classical channel for measurement result k1It passes
Transport to sender.
7. a kind of controllable remote control method of light quantum state according to claim 1, it is characterised in that: in step (5),
Sender passes through classical channel for measurement result i3、i4It is transmitted to recipient, controlling party passes through classical channel for measurement result k2It passes
Transport to recipient.
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US20140207723A1 (en) * | 2014-03-24 | 2014-07-24 | Invent.ly LLC | Method and Apparatus for Predicting Joint Quantum States of Subjects modulo an Underlying Proposition based on a Quantum Representation |
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