Multi-party quantum summation with a single d-level quantum system

A multi-party quantum summation with a single d-level quantum system is proposed, in which a semi-honest third party (TP) is employed. Only sequential communication of a single quantum d-level syst...

[1]  M. Żukowski,et al.  Secret sharing with a single d -level quantum system , 2015 .

[2]  Dongyang Long,et al.  High-Capacity Quantum Summation with Single Photons in Both Polarization and Spatial-Mode Degrees of Freedom , 2014 .

[3]  Christian Kurtsiefer,et al.  Experimental single qubit quantum secret sharing. , 2005, Physical review letters.

[4]  N. Gisin,et al.  Trojan-horse attacks on quantum-key-distribution systems (6 pages) , 2005, quant-ph/0507063.

[5]  Yi Mu,et al.  Secure Multiparty Quantum Computation for Summation and Multiplication , 2016, Scientific Reports.

[6]  Adam D. Smith,et al.  Secure multi-party quantum computation , 2002, STOC '02.

[7]  Bin Liu,et al.  Collusive attacks to “circle-type” multi-party quantum key agreement protocols , 2016, Quantum Information Processing.

[8]  Qiaoyan Wen,et al.  An Efficient Protocol for the Secure Multi-party Quantum Summation , 2010 .

[9]  I. D. Ivonovic.  Geometrical description of quantal state determination , 1981 .

[10]  Shor,et al.  Simple proof of security of the BB84 quantum key distribution protocol , 2000, Physical review letters.

[11]  M. Golshani,et al.  Transition of d-level quantum systems through quantum channels with correlated noise , 2006, quant-ph/0608176.

[12]  H. Weinfurter,et al.  Multiphoton entanglement and interferometry , 2003, 0805.2853.

[13]  V. Buzek,et al.  Quantum secret sharing , 1998, quant-ph/9806063.

[14]  Qiong Huang,et al.  Multi-party quantum summation without a trusted third party based on single particles , 2017 .

[15]  Yixian Yang,et al.  An efficient protocol for the private comparison of equal information based on the triplet entangled state and single-particle measurement , 2010 .

[16]  Hoi-Kwong Lo,et al.  Insecurity of Quantum Secure Computations , 1996, ArXiv.

[17]  V. Buzek,et al.  Towards quantum-based privacy and voting , 2005, quant-ph/0505041.

[18]  W. Wootters,et al.  Optimal state-determination by mutually unbiased measurements , 1989 .

[19]  H. F. Chau,et al.  Quantum-classical complexity-security tradeoff in secure multiparty computations , 1999, quant-ph/9901024.

[20]  Fuguo Deng,et al.  Improving the security of secure direct communication based on the secret transmitting order of particles , 2006, quant-ph/0612016.

[21]  Zhi-Wei Sun,et al.  Three-party quantum summation without a trusted third party , 2015 .

[22]  K. Życzkowski,et al.  ON MUTUALLY UNBIASED BASES , 2010, 1004.3348.

[23]  V. Karimipour,et al.  Quantum secret sharing and random hopping: Using single states instead of entanglement , 2015, 1506.02966.