Multi-party quantum private comparison of size relation with d-level single-particle states

Abstract

In this paper, by using d-level single-particle states, two novel multi-party quantum private comparison protocols for size relation comparison with two semi-honest third parties and one semi-honest third party are constructed, respectively. Here, each protocol can compare the size relation of secret integers from n parties rather than just the equality within one time execution. In each protocol, every third party is assumed to be semi-honest in the sense that she may misbehave on her own but is not allowed to collude with anyone else; and each party employs the qudit shifting operation to encode her secret integer. Each protocol can resist both the outside attack and the participant attack. Specially, each party's secret integer can be kept unknown to other parties and the third parties. The proposed protocol with two third parties is workable in a stranger environment, as there are no communication and no pre-shared key between each pair of party. The proposed protocol with one third party is workable in an acquaintance environment, as all parties need to share a common private key beforehand.

arXiv comment12 pages, 2 figures, 2 tables

References in corpus (27)

• Quantum Cryptography
• Experimental quantum teleportation
• Quantum secret sharing
• Simple Proof of Security of the BB84 Quantum Key Distribution Protocol
• Quantum Key Distribution with High Loss: Toward Global Secure Communication
• A Two-Step Quantum Direct Communication Protocol Using Einstein-Podolsky-Rosen Pair Block
• How to share a quantum secret
• Efficient Multi-Party Quantum Secret Sharing Schemes
• Quantum key distribution in the Holevo limit
• On the Theory of Quantum Secret Sharing
• Insecurity of Quantum Secure Computations
• Improving the security of secure direct communication based on secret transmitting order of particles
• Graph States for Quantum Secret Sharing
• Eavesdropping on the "ping-pong" type quantum communication protocols with invisible photon
• Efficient quantum key distribution over a collective noise channel
• Cryptanalysis of the Hillery-Buzek-Berthiaume quantum secret-sharing protocol
• Quantum secret sharing without entanglement
• Secure quantum key distribution network with Bell states and local unitary operations
• Practical private database queries based on a quantum key distribution protocol
• Efficient quantum cryptography network without entanglement and quantum memory
• Quantum secret sharing with qudit graph states
• Quantum secure direct communication based on order rearrangement of single photons
• Improving the security of quantum exam against cheating
• Post-processing of the oblivious key in quantum private queries
• An efficient quantum secret sharing scheme with Einstein-Podolsky-Rosen Pairs
• Robustness of two-way quantum communication protocols against Trojan horse attack
• Multi-party Quantum Private Comparison Based on the Entanglement Swapping of d-level Cat States and d-level Bell states

Cited by in corpus (9)

• Circular multi-party quantum private comparison with n-level single-particle states
• A novel multi-party semiquantum private comparison protocol of size relationship with d-dimensional single-particle states
• Multi-party quantum private comparison of size relationship with two third parties based on d-dimensional Bell states
• Continuous variable controlled quantum dialogue and secure multiparty quantum computation
• Semiquantum Private Comparison of Size Relationship Based on d-level Single-Particle States
• A Multiparty Quantum Private Equality Comparison scheme relying on $|GH{Z}_3⟩$ states
• A distributed and parallel $(k,n)$ QSS scheme with verification capability
• A novel $2$ \& $3$ player scheme for Quantum Direct Communication
• Quantum Shadows: The Dining Information Brokers