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Five-particle Brown state-based quantum grouping multi-user secret comparison method
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A particle and quantum technology, applied in the field of quantum group secret comparison based on the five-particle Brown state, can solve the problem that parallel comparison of two groups of multiple users cannot be realized at the same time
Inactive Publication Date: 2017-05-31
SUZHOU UNIV
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However, looking at the previous literature, we will find that they only realize the comparison of the secret information of two users through a certain entanglement state, and cannot realize the parallel comparison of two groups of multiple users at the same time.
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Embodiment 1
[0149] Without loss of generality, take 3-bit secret information as an example. Suppose Alice 1 The secret message is 100, Alice 2 The secret message is 010, Bob 1 The secret message is 001, Bob 2 The secret message is 001. Simultaneously let TP pair A 2 (B 2 ) The operation done by the particle is I,X,I(X,I,X), and the final measurement result is {|0>,|1>,|1>}. And Alice 1 The final test result is 101, Alice 2 The final measurement was 011; Bob 1 The final measurement was 011, Bob 2 The measured result is 101. Then the participants encode their information, specifically Alice 1 ,Alice 2 ,Bob 1 and Bob 2The encoded information is 001, 001, 010, 100 respectively. Then send the final encoding result to TP, TP can obtain 000 by comparing the information of group A, and correct it, and the comparison result after correction is 001, which shows that the secret information of group A is different; by comparing the information of group B By comparison, 110 can be obta...
Embodiment 2
[0151] Not general, suppose there are 3 users in group A, named Alice 1 ,Alice 2 ,Alice 3 , each user has 3bit secret information, which are 010, 110,000 in turn; group B has 4 users, namely Bob 1 ,Bob 2 ,Bob 3 ,Bob 4 , and each user also has 3bit secret information, which are 101, 101, 101, 101 in turn. A in the 3 Brown states prepared by TP pair 2 A 3 B 2 B 3 B 4 The unitary operations used by the particles are IXXIX, IIIXX, and XXXII in sequence, and the final measurement result of TP on the particle TP is 101. In addition Alice 1 ,Alice 2 ,Alice 3 ,Bob 1 ,Bob 2 ,Bob 3 ,Bob 4 The measurement results are 001, 010, 100, 100, 100, 110, 010 in sequence, and the information encoded by each user is 011, 100, 100, 001, 001, 011, 111 in sequence, and then the encoded information is passed through the classical channel Pass back to TP. After comparison, TP obtains the pairwise comparison results of group A, taking Alice 1 &Alice 2 ,Alice 1 &Alice 3 ,Alice 2 &...
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Abstract
The invention relates to a five-particle Brown state-based quantum grouping secret information comparison method. By the method, the secret information of two groups of users can be compared simultaneously by utilizing the Brown state, and the secret information is not leaked to a third party who performs comparison. The third party TP is semi-loyal, and can execute comparison honestly and record the comparison result; meanwhile, the third party TP may try to steal information from the record. The actual requirement is met and universality is achieved. A user can execute interception detection and loyalty detection on the TP after the TP distributes photons. The information is encoded by a participant, so that an eavesdropper, even if the TP, cannot know the respective secret information. Compared with the existing quantum secret comparison method, the method has the advantages that the secret information of the two independent groups of users can be compared simultaneously through one group of Brown state, and the secret information is not leaked to the third party who performs comparison.
Description
technical field [0001] The invention belongs to the field of quantum communication, and in particular relates to a quantum private comparison (Quantum Private Comparison) method, in particular to a quantum group secret comparison method based on a five-particle Brown state. Background technique [0002] The phenomenon of quantum entanglement is a unique phenomenon in quantum mechanics first noticed by Einstein, Podolsky, Rosen and Schrodinger. Due to its unique properties, it plays an important role in quantum communication. Since the EPR state, W-like state, GHZ state, and Cluster state were discovered successively, a five-particle maximum entangled state was discovered by Brown et al. through a numerical optimization program in 2005, that is, the Brown state[1]. Because of its unique entanglement properties, the Brown state has been widely studied. Afterwards, methods for preparing the Brown state have been proposed one after another. These include the joint remote prepa...
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