Single-state semiquantum private comparison based on Bell states

Geng, Mao-Jie; Chen, Ying; Xu, Tian-Jie; Ye, Tian-Yu

doi:10.1140/epjqt/s40507-022-00156-9

Cited by 18 publications

(6 citation statements)

References 59 publications

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“…(4)The proposed MQPC protocol can be used in the strange user environment, as there are not any communication and pre-shared key between each pair of users. Recently, by introducing the concept of semiquantumness [37][38][39] into QPC, semiquantum private comparison (SQPC) [36,[40][41][42][43][44][45][46] has gained considerable developments. However, few of the existing SQPC protocols can be used to determine the size relationship for private inputs from more than two classical users through being implemented one round.…”

Section: Discussionmentioning

confidence: 99%

Multi-party quantum private comparison of size relationship with two third parties based on d-dimensional Bell states

Lian¹,

Li²,

Ye³

2023

Phys. Scr.

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In this paper, we put forward a multi-party quantum private comparison (MQPC) protocol with two semi-honest third parties (TPs) by adopting d-dimensional Bell states, which can judge the size relationship of private integers from more than two users within one execution of protocol. Each TP is permitted to misbehave on her own but cannot collude with others. In the proposed MQPC protocol, TPs are only required to apply d-dimensional single-particle measurements rather than d-dimensional Bell state measurements. There are no quantum entanglement swapping and unitary operations required in the proposed MQPC protocol. The security analysis validates that the proposed MQPC protocol can resist both the outside attacks and the participant attacks. The proposed MQPC protocol is adaptive for the case that users want to compare the size relationship of their private integers under the control of two supervisors. Furthermore, the proposed MQPC protocol can be used in the strange user environment, because there are not any communication and pre-shared key between each pair of users.

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Section: Discussionmentioning

confidence: 99%

Multi-party quantum private comparison of size relationship with two third parties based on d-dimensional Bell states

Lian¹,

Li²,

Ye³

2023

Phys. Scr.

Self Cite

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“…Nevertheless, Tsai et al highlighted that Jiang's protocol is unable to resist a double CNOT attack, and then they suggested an improved scheme to remedy this security loophole [33]. Geng et al presented an SQPC protocol with single kind of Bell states to judge the equality of two classical participants' privacies [34]. Recently, Tian et al raised a more efficient SQPC protocol by adopting the entanglement property of W-state [35].…”

Section: Introductionmentioning

confidence: 99%

Novel semi-quantum private comparison protocol with Bell states

Gong,

Li,

Cao

et al. 2024

Laser Phys. Lett.

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Based on Bell states, a new semi-quantum private comparison protocol is proposed that enables two classical users to securely compare the equality of their private information with the aid of a semi-honest third party. Different from the existing semi-quantum private comparison protocols, the two classical participants in the presented protocol do not need to measure and prepare any quantum state, which not only reduces the consumption of quantum devices, but also greatly improves the feasibility of the protocol. Performing different unitary operations on the received particles, classical users can securely compare their secret information. Besides, the devised protocol has higher qubit efficiency than the other similar counterparts, since participants can compare a two-bit privacy each time with one qubit. Meanwhile, after completing the comparison process, all Bell states could be reused since they still retain the corresponding entanglement property, which greatly facilitates the recycle of quantum resources. Security analyses indicate that the designed scheme is secure against external attack and internal attack. Moreover, the operations involved in our scheme are simulated on the IBM Quantum Experience to demonstrate the effectiveness and security of our scheme.

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“…[16] In general, we can say that a quantum operation will be covariant with respect to the group G if it commutes with the group action. When a quantum error correction code is covariant with respect to G, its encoding map is called the G-covariant operation, and we can achieve approximate error correction [17][18][19][20] by studying the properties of the recovery operation. A crucial step in quantum error correction is decoding.…”

Section: Introductionmentioning

confidence: 99%

Approximate error correction scheme for three-dimensional surface codes based reinforcement learning

Chen

Wang

et al. 2023

Chinese Phys. B

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Quantum error correction technology is an important method to eliminate errors during the operation of quantum computers. In order to solve the problem of the influence of errors on physical qubits, this paper proposes an approximate error correction scheme that performs dimension mapping operations on surface codes. This error correction scheme utilizes the topological properties of error correction codes to map the surface code dimension to three dimensions. Compared to previous error correction schemes, the three-dimensional surface code exhibits good scalability due to its higher redundancy and more efficient error correction capabilities. By reducing the number of ancilla qubits required for error correction, this approach achieves savings in measurement space and reduces resource consumption costs. In order to improve the decoding efficiency and solve the problem of the correlation between the surface code stabilizer and the 3D space after dimension mapping, we employ a Reinforcement Learning (RL) decoder based on Deep Qlearning, which enables faster identification of the optimal syndrome and achieves better thresholds through conditional optimization. Compared to the Minimum Weight Perfect Matching (MWPM) decoding, the threshold of the RL trained model reaches 0.78%, which is 56% higher and enables large-scale fault-tolerant quantum computation.

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Single-state semiquantum private comparison based on Bell states

Cited by 18 publications

References 59 publications

Multi-party quantum private comparison of size relationship with two third parties based on d-dimensional Bell states

Multi-party quantum private comparison of size relationship with two third parties based on d-dimensional Bell states

Novel semi-quantum private comparison protocol with Bell states

Approximate error correction scheme for three-dimensional surface codes based reinforcement learning

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