Quantum Private Comparison Based on Quantum Search Algorithm

We propose two quantum private comparison protocols based on quantum search algorithm with the help of a semi-honest third party. Our protocols utilize the properties of quantum search algorithm, the unitary operations, and the single-particle measurements. The security of our protocols is discussed with respect to both the outsider attack and the participant attack. There is no information leaked about the private information and the comparison result, even the third party cannot know these information.     

Quantum Private Comparison via Cavity QED

The first quantum private comparison(QPC) protocol via cavity quantum electrodynamics(QED) is proposed in this paper by making full use of the evolution law of atom via cavity QED, where the third party(TP) is allowed to misbehave on his own but cannot conspire with either of the two users. The proposed protocol adopts two-atom product states rather than entangled states as the initial quantum resource, and only needs single-atom measurements for two users. Both the unitary operations and the quantum entanglement swapping operation are not necessary for the proposed protocol. The proposed protocol can compare the equality of one bit from each user in each round comparison with one two-atom product state. The proposed protocol can resist both the outside attack and the participant attack.Particularly, it can prevent TP from knowing two users' secrets. Furthermore, the qubit efficiency of the proposed protocol is as high as 50%.     

Quantum Private Comparison Using Single Bell State

International Journal of Theoretical Physics - Quantum private comparison (QPC) can tell us whether two users’ private data are equal or not by quantum technology without disclosing privacy...     

Two-Party Quantum Private Comparison Using Single Photons

Quantum private comparison (QPC) aims to determine whether two parties’ private inputs are equal or not without leaking out their genuine contents. At present, there is seldom QPC protocol which uses single photons as quantum resource. In this paper, we are devoted to converting Zhang et al.’s three-party quantum summation (QS) protocol based on single photons (Int. J. Quantum Inf. 15(2), 1750010, 2017) into the corresponding two-party QPC protocol with single photons. The correctness and the security of the proposed QPC protocol with single photons can be guaranteed. The proposed QPC protocol is naturally free from Trojan horse attacks because of its single directional particle transmission mode.     

Quantum Private Comparison Protocol with W States

We propose a secure quantum protocol for comparing the equality of information with the help of a semi-honest third party (Trent). Our protocol utilizes the triplet W states, and the single-particle measurement. The technique for preparing W state is mature, which ensures the utility of our protocol. The security of our protocol with respect to both outsider attack and participant attack is discussed. Any information about the private information, the comparison result will not be leaked out, even the third party cannot know these information.     

Quantum Private Comparison Protocol with Linear Optics

In this paper, we propose an innovative quantum private comparison(QPC) protocol based on partial Bell-state measurement from the view of linear optics, which enabling two parties to compare the equality of their private information with the help of a semi-honest third party. Partial Bell-state measurement has been realized by using only linear optical elements in experimental measurement-device-independent quantum key distribution(MDI-QKD) schemes, which makes us believe that our protocol can be realized in the near future. The security analysis shows that the participants will not leak their private information.     

Quantum Private Comparison Based on GHZ Entangled States

We present a new quantum private comparison protocol based on the three-particle GHZ states. In this protocol, we prepare two types of GHZ states and use their entanglement properties to encode and compare the private information of X and Y. We also discuss that our protocol can withstand all various kinds of outside attacks and participant attacks.     

Quantum Private Comparison Protocol Based on Cluster States

We present a quantum private comparison (QPC) protocol, enabling two players to compare the equality of their information without revealing any information about their respective private inputs, in which the four-particle cluster states as the information carriers are used. The presented protocol can ensure correctness, privacy, and fairness with the assistance of a semi-trusted third party (TP). Meanwhile, the participants including the TP are just required having the ability to perform single-particle measurements, which make the presented protocol more feasible in technique. Furthermore, the photon transmission is a one-way distribution; the Trojan horse attacks can be automatically avoided. The security of this protocol is also analyzed.     

Two-Party Quantum Private Comparison with Five-Qubit Entangled States

In this paper, a two-party quantum private comparison (QPC) protocol is proposed by using five-qubit entangled states as the quantum resource. The proposed protocol needs the help from a semi-honest third party (TP), who is allowed to misbehave on his own but not allowed to conspire with the adversary including the dishonest user. The proposed protocol has the following distinct features: (1) One five-qubit entangled state can be used to achieve the equality comparison of two bits in each round of comparison; (2) Neither unitary operations nor quantum entanglement swapping technology is needed, both of which may consume expensive quantum devices; (3) Only Bell measurements and single-particle measurements are employed, both of which can be realized with current quantum technologies; (4) The security toward both the outside attack and the participant attack can be guaranteed; (5) The private information of two parties is not leaked out to TP.     

Quantum Private Comparison Using Genuine Four-Particle Entangled States

In this paper, a quantum private comparison protocol is proposed based on χ-type state. According to the protocol, two parties can determine the equality of their information with the assistant of a semi-honest third party. Due to utilizing quantum superdense coding, this protocol provides a high efficiency and capacity. Moreover, its security is also discussed.     

Two-Party Quantum Private Comparison with Four-Particle Entangled States

International Journal of Theoretical Physics - A two-party quantum private comparison (QPC) protocol is constructed with four-particle entangled states, where the third party (TP) is assumed to be...     

Quantum Private Comparison Protocol with the Random Rotation

We proposed a quantum secret comparison protocol for two parties with the random rotation angle, which is under the help of a semi-honest third party. The random rotation angle made it possible for the protocol to be safer and the two parties cannot deduce each other’s information by means of their own possessions. The participants’ secrets are divided into groups and the third party announced the results by group, which made the protocol more safely and sometimes it can save lots of resources. Moreover, during our protocol process any information of the two parties will not be leaked, even the third party cannot get any participants’ secrets.     

Quantum Private Comparison Protocol Based on Bell Entangled States

In this paper,a quantum private comparison protocol is proposed based on bell entangled states.In our protocol,two parties can compare the equality of their information with the help of a semi-honest third party.The correctness and security of our protocol are discussed.One party cannot learn the other's private information and the third party also cannot learn any information about the private information.     

Fault-Tolerate Quantum Private Comparison Based on GHZ States and ECC

There are some quantum private comparison (QPC) schemes proposed previously. In this paper we study these QPC protocols in non-ideal scenario and find that they are not secure there. For resolving the problem, we propose a QPC scheme which could be performed in practical scenario. By the use of Greenberger-Horne-Zeilinger (GHZ) states and error-correcting code (ECC), the scheme has the capability of fault-tolerate.     

Improvements of Quantum Private Comparison Protocol Based on Cluster States

Quantum private comparison aims to determine whether the secrets from two different users are equal or not by utilizing the laws of quantum mechanics. Recently, Sun and Long put forward a quantum private comparison (QPC) protocol by using four-particle cluster states (Int. J. Theor. Phys. 52, 212–218, 2013). In this paper, we investigate this protocol in depth, and suggest the corresponding improvements. Compared with the original protocol, the improved protocol has the following advantages: 1) it can release the requirements of authenticated classical channels and unitary operations; 2) it can prevent the malicious attack from the genuine semi-honest TP; 3) it can enhance the qubit efficiency.     

Cryptanalysis and Improvement of Quantum Private Comparison without Classical Computation

Recently, Lang suggested a quantum private comparison (QPC) without classical computation (Int J Theor Phys, 59(2020)2984). Lang claimed that this QPC protocol is secure against both the participant attack and the outside attack. It is pointed out in this paper that the third party (TP) can totally obtain the private binary sequences of two communicants by launching a special measurement attack; and moreover, an outside attacker can make this protocol fail by launching the disturbance attack. The corresponding methods are further put forward to overcome these drawbacks.

     

An Efficient Quantum Private Comparison of Equality over Collective-Noise Channels

This article proposes a collective-noise resistant QPC protocol with the help of an almostdishonest third party (TP) who may try to perform any sort of attacks to derive participants’ private secrets except colluding with any participant. The proposed scheme has some considerable advantages over the state-of-the-art QPC protocols over collective-noise channels, where it does not require any pre-shared key between the participants (Alice and Bob). Nevertheless, the proposed scheme can resist Trojan horse attacks without consuming half of the transmitted qubits and any additional equipment (wavelength filter and PNS) support. As a consequence, the proposed QPC protocol can guarantee higher qubit efficiency as compared to the others over collective noise channels.     

Quantum Private Comparison of Equality Based on Five-Particle Cluster State

A protocol for quantum private comparison of equality(QPCE) is proposed based on five-particle cluster state with the help of a semi-honest third party(TP). In our protocol, TP is allowed to misbehave on its own but can not conspire with either of two parties. Compared with most two-user QPCE protocols, our protocol not only can compare two groups of private information(each group has two users) in one execution, but also compare just two private information. Compared with the multi-user QPCE protocol proposed, our protocol is safer with more reasonable assumptions of TP. The qubit efficiency is computed and analyzed. Our protocol can also be generalized to the case of 2N participants with one TP. The 2N-participant protocol can compare two groups(each group has N private information)in one execution or just N private information.