信道噪声对量子信息分离的影响
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摘要
文献[7]给出了一个三者之间利用四粒子团簇态作为量子信道实现单粒子量子态的量子信息分离的方案。在此方案的基础上,分析了经典噪声信道对这个量子信息分离方案的影响。通过利用二元对称信道以及二元删除信道,得到了信息分离成功概率与经典信道噪声系数之间的关系。除此之外,还研究了量子噪声信道对此方案的影响。在振幅阻尼信道或者去极化信道上进行量子信息分离的过程中,量子纠缠信道将会发生退相干,从而导致量子信息分离质量的下降。文中给出了量子信息分离保真度与噪声系数以及所传送量子态系数之间的关系刻画。
In the literature[7],Muralidharan et al have proposed quantum information splitting of single-qubit state by using four cluster state.Based on this scheme,we analyzed the classical noise channel that has a profound influence on the quantum information splitting.Through the binary symmetric channel and the binary erasure channel,we obtained the relationship between information splitting success probability and the classical channel noise coefficient.In addition,we also investigated the effect of this scheme by the quantum noise channel.In the process of quantum information splitting by amplitude damping channel or depolarzing channel,quantum entanglement channel's decoherence will occur,thus leading to the decline of the quality of quantum information splitting.In this paper,we characterized the relationship among the fidelity,the noise coefficient and the original quantum state.
In the literature[7],Muralidharan et al have proposed quantum information splitting of single-qubit state by using four cluster state.Based on this scheme,we analyzed the classical noise channel that has a profound influence on the quantum information splitting.Through the binary symmetric channel and the binary erasure channel,we obtained the relationship between information splitting success probability and the classical channel noise coefficient.In addition,we also investigated the effect of this scheme by the quantum noise channel.In the process of quantum information splitting by amplitude damping channel or depolarzing channel,quantum entanglement channel's decoherence will occur,thus leading to the decline of the quality of quantum information splitting.In this paper,we characterized the relationship among the fidelity,the noise coefficient and the original quantum state.
引文
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[15]Li Dong-fen,Wang Rui-jin,Zhang Feng-li,et al.Quantum information splitting of arbitrary two-qubit state by using four-qubit cluster state and Bell-state[J].Quantum Information Processing,2015,14:1103-1116
[16]Kang Shuang-yong,Chen Xiu-bo,Yang Yi-xian.Asymmetric Quantum Information Splitting of an Arbitrary N-qubit State via GHZ-like State and Bell States[J].International Journal of Theoretical Physics,2014,53:1848-1861
[17]Saha D,Panigrahi P K.N-qubit quantum teleportation information splitting and superdense coding through the composite GHZ-Bell channel[J].Quantum Information Processing,2012,11(2):615-628
[18]Li Dong-fen,Wang Rui-jin,Zhang Feng-li.Quantum information splitting of arbitrary three-qubit state by using four-qubit cluster state and GHZ-state[J].International Journal of Theoretical Physics,2015,54:1142-1153
[19]Bai Ming-qiang,Mo Zhi-wen.Hierarchical quantum information splitting with eight-qubit cluster states[J].Quantum Information Processing,2013,12:1053-1064
[20]Muralidharan S,Jain S,Panigrahi P K.Splitting of quantum information using N-qubit linear cluster states[J].Optics Communications,2011,284(4):1082-1085
[21]Thomas M C,Thomas J A.Elements of information theory[M].United States of America,2006:187-189
[22]Nielsen M A,Chuang I L.Quantum computation and quantum information[M].Cambridge:Cambridge University Press,2000:356-386
[2]Hillery M,Buzek V,Berthiaume A.Quantum secret sharing[J].Physical Review A,1999,59:1829
[3]Karlsson A,Koashi M,Imoto N.Quantum entanglement for secret sharing and secret splitting[J].Physical Review A,1999,59:162-168
[4]Cleve R,Gottesman D,Lo H K.How to share a quantum secret[J].Physical Review Letters,1999,83:648
[5]Zheng Shi-Biao.Splitting quantum information via W states[J].Physical Review A,2006,74(5):9-15
[6]Zhang Qun-yong,Zhan You-bang,Zhang Ling-ling,et al.Schemes for splitting quantum information via tripartite entangled states[J].International Journal of Theoretical Physics,2009,48:3331-3338
[7]Muralidharan S,Panigrahi P K.Quantum-information splitting using multipartite cluster states[J].Physical Review A,2008,78(6):5175-5179
[8]Wang Xin-wen,Xia Li-xin,Wang Zhi-yong,et al.Hierarchical quantum-information splitting[J].Optics Communications,2010,283:1196-1199
[9]Wang Xin-wen,Zhang Deng-yu,Tang Shi-qing,et al.Multiparty hierarchical quantum-information splitting[J].Journal of Physics B:Atomic,Molecular and Optical Physics,2011,44(3):35505-35508
[10]Li Yuan-hua,Liu Jun-chang,Nie Yi-you.Quantum teleportation and quantum information splitting by using agenuinely entangled six-qubit state[J].International Journal of Theoretical Physics,2010,49(10):2592-2599
[11]Yin Xiao-feng,Liu Yi-min,Zhang Wen,et al.Simplified four-qubit cluster state for splitting arbitrary single-qubit information[J].Communications in Theoretical Physics,2010,53:49-53
[12]Li Shu-wen,Jiang Min,Jiang Frank,et al.Multi-qudit information splitting with multiple controllers[J].Quantum Information Processing,2014,13:1057-1066
[13]Shukla C,Pathak A.Hierarchical quantum communication[J].Physical Review A,2013,377:1337-1344
[14]Nie Yi-you,Li Yuan-hua,Liu Jun-chang.Quantum information splitting of an arbitrary three-qubit state by using two four-qubit cluster states[J].Quantum Information Processing,2011,10(3):297-305
[15]Li Dong-fen,Wang Rui-jin,Zhang Feng-li,et al.Quantum information splitting of arbitrary two-qubit state by using four-qubit cluster state and Bell-state[J].Quantum Information Processing,2015,14:1103-1116
[16]Kang Shuang-yong,Chen Xiu-bo,Yang Yi-xian.Asymmetric Quantum Information Splitting of an Arbitrary N-qubit State via GHZ-like State and Bell States[J].International Journal of Theoretical Physics,2014,53:1848-1861
[17]Saha D,Panigrahi P K.N-qubit quantum teleportation information splitting and superdense coding through the composite GHZ-Bell channel[J].Quantum Information Processing,2012,11(2):615-628
[18]Li Dong-fen,Wang Rui-jin,Zhang Feng-li.Quantum information splitting of arbitrary three-qubit state by using four-qubit cluster state and GHZ-state[J].International Journal of Theoretical Physics,2015,54:1142-1153
[19]Bai Ming-qiang,Mo Zhi-wen.Hierarchical quantum information splitting with eight-qubit cluster states[J].Quantum Information Processing,2013,12:1053-1064
[20]Muralidharan S,Jain S,Panigrahi P K.Splitting of quantum information using N-qubit linear cluster states[J].Optics Communications,2011,284(4):1082-1085
[21]Thomas M C,Thomas J A.Elements of information theory[M].United States of America,2006:187-189
[22]Nielsen M A,Chuang I L.Quantum computation and quantum information[M].Cambridge:Cambridge University Press,2000:356-386