基于9维量子系统上的秘密共享方案
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摘要
Tavakoli等人利用无偏基的有关循环性质给出了奇素数维上的量子秘密共享方案。针对9维上的量子系统给出了相应无偏基,基于这些无偏基的性质构造了相应酉变换,进而构造了一个(N,N)门限秘密共享方案,并分析了方案的安全性。
Tavakoli et al used the related cyclical properties of unbiased bases to give a quantum secret sharing scheme in the odd prime dimensional quantum systems. This paper gives the corresponding unbiased bases and unitary transformation for the quantum system in 9-dimensional quantum systems, and then constructs a(N,N) secret sharing scheme, and analyzes the security of this scheme.
Tavakoli et al used the related cyclical properties of unbiased bases to give a quantum secret sharing scheme in the odd prime dimensional quantum systems. This paper gives the corresponding unbiased bases and unitary transformation for the quantum system in 9-dimensional quantum systems, and then constructs a(N,N) secret sharing scheme, and analyzes the security of this scheme.
引文
[1] Hillery M,Buzek V,Berthiaume A.Quantum secret sharing[J].Physical Review A,1999,59(3):1829-1834.
[2]程资,靳俐荣,石金晶.基于RS码生成机制的(k,n)门限量子秘密共享方案[J].信息网络安全,2016(4):44-49.
[3]张群永.基于四粒子纠缠态的量子秘密共享方案[J].量子电子学报,2016,33(6):718-723.
[4]许盛伟.一种新型的量子秘密共享方案[J].山东大学学报(理学版),2016,51(9):36-40.
[5]程思铤,谭晓青.基于团簇态的量子秘密共享方案[J].计算机工程与应用,2016,52(21):140-145.
[6]张建中,张文昊.两个基于四粒子纠缠态的量子秘密共享方案[J].计算机应用研究,2016,33(1):225-228.
[7]吴君钦,林慧英.一种新的未知三粒子量子态秘密共享方案[J].量子电子学报,2015,32(3):315-320.
[8]张晓倩,谭晓青,梁翠.高效的三方量子秘密直接共享方案[J].计算机应用研究,2015,32(11):3430-3434.
[9] Wootters W K,Fields B D.Optimal state-determination by matually unbiased measurements[J].Annals of Physics,1989,191(2):363-381.
[10]秦利丽,陈馨,代奇阜,等.一类两体量子系统中无偏的最大纠缠基的构造[J].延边大学学报(自然科学版),2017,43(1):7-10.
[11]乔金兰,沈鑫,向朝参,等.不可扩展的最大纠缠基和无偏基[J].延边大学学报(自然科学版),2017,43(1):15-18.
[12]王天娇,张军,陶元红,等.量子系统C2?C4中无偏的最大纠缠基[J].哈尔滨理工大学学报,2016,21(3):121-124.
[13]陶元红,杨强,张军,等.量子系统Cd?Ckd中无偏的最大纠缠基的构造[J].中国科学:物理学力学天文学,2015,45(6):79-87.
[14] Tavakoli A,Herbauts I,Zukowski M,et al.Secret sharing with a single d-level quantum system[J].Physical Review A,2015,92:030202.
[15] He G P.Comment on“experimental single qubit quantum secret sharing”[J].Physical Review Letters,2007,98:028901.
[16] He G P,Wang Z D.Single qubit quantum secret sharing with improved security[J].Quantum Information&Computation,2010,10(1/2):28-35.
[17] Schmid C,Trojek P,Bourennane M,et al.Experimental single qubit quantum secret sharing[J].Physical Review Letters,2005,95:230505.
[2]程资,靳俐荣,石金晶.基于RS码生成机制的(k,n)门限量子秘密共享方案[J].信息网络安全,2016(4):44-49.
[3]张群永.基于四粒子纠缠态的量子秘密共享方案[J].量子电子学报,2016,33(6):718-723.
[4]许盛伟.一种新型的量子秘密共享方案[J].山东大学学报(理学版),2016,51(9):36-40.
[5]程思铤,谭晓青.基于团簇态的量子秘密共享方案[J].计算机工程与应用,2016,52(21):140-145.
[6]张建中,张文昊.两个基于四粒子纠缠态的量子秘密共享方案[J].计算机应用研究,2016,33(1):225-228.
[7]吴君钦,林慧英.一种新的未知三粒子量子态秘密共享方案[J].量子电子学报,2015,32(3):315-320.
[8]张晓倩,谭晓青,梁翠.高效的三方量子秘密直接共享方案[J].计算机应用研究,2015,32(11):3430-3434.
[9] Wootters W K,Fields B D.Optimal state-determination by matually unbiased measurements[J].Annals of Physics,1989,191(2):363-381.
[10]秦利丽,陈馨,代奇阜,等.一类两体量子系统中无偏的最大纠缠基的构造[J].延边大学学报(自然科学版),2017,43(1):7-10.
[11]乔金兰,沈鑫,向朝参,等.不可扩展的最大纠缠基和无偏基[J].延边大学学报(自然科学版),2017,43(1):15-18.
[12]王天娇,张军,陶元红,等.量子系统C2?C4中无偏的最大纠缠基[J].哈尔滨理工大学学报,2016,21(3):121-124.
[13]陶元红,杨强,张军,等.量子系统Cd?Ckd中无偏的最大纠缠基的构造[J].中国科学:物理学力学天文学,2015,45(6):79-87.
[14] Tavakoli A,Herbauts I,Zukowski M,et al.Secret sharing with a single d-level quantum system[J].Physical Review A,2015,92:030202.
[15] He G P.Comment on“experimental single qubit quantum secret sharing”[J].Physical Review Letters,2007,98:028901.
[16] He G P,Wang Z D.Single qubit quantum secret sharing with improved security[J].Quantum Information&Computation,2010,10(1/2):28-35.
[17] Schmid C,Trojek P,Bourennane M,et al.Experimental single qubit quantum secret sharing[J].Physical Review Letters,2005,95:230505.