一类由量子Bernoulli噪声构造的量子信道

doi:10.13295/j.cnki.issn1673-5196.2026.04.019

兰州理工大学学报 ›› 2026, Vol. 52 ›› Issue (4): 159-165.doi: 10.13295/j.cnki.issn1673-5196.2026.04.019

一类由量子Bernoulli噪声构造的量子信道

唐玉玲^*

河西学院数学学院, 甘肃张掖 734000

收稿日期:2024-04-15 出版日期:2026-08-28 发布日期:2026-09-03
通讯作者: 唐玉玲(1980-),女,甘肃民勤人,博士,副教授.Email:tyl0316@163.com
基金资助:
国家自然科学基金(12561024,12161050),甘肃省高校创新基金(2021B-254)

Quantum channel constructed from quantum Bernoulli noises

TANG Yu-ling

School of Mathematics, Hexi University, Zhangye 734000, China

Received:2024-04-15 Online:2026-08-28 Published:2026-09-03

摘要/Abstract

摘要： 使用量子Bernoulli噪声构造一类基于无穷维Hilbert空间的量子信道.从量子概率论的角度研究该类信道的基本性质,构造输入态与通过量子信道生成的输出态的一个量子力学复合态,通过量子力学复合态定义量子通信理论中的交互信息,并讨论其基本性质,验证了所构造的量子通信理论的复合态是合理的.

关键词: 量子Bernoulli噪声, 量子信道, 复合态, 熵, 交互信息

Abstract: A class of quantum channels based on a infinite-dimensional Hilbert space is constructed using quantum Bernoulli noises. Some basic properties of channels are discussed from the point of quantum probability theory. Then, a quantum-mechanical compound state of the input state and the output state generated by the quantum channel is constructed. Finally, the mutual information in quantum communication theory is defined by the compound state, and its fundamental properties are discussed, which proves that the compound state of quantum communication theory is reasonable.

Key words: quantum Bernoulli noise, quantum channel, compound state, entropy, mutual information

中图分类号:

O211.9

唐玉玲. 一类由量子Bernoulli噪声构造的量子信道[J]. 兰州理工大学学报, 2026, 52(4): 159-165.

TANG Yu-ling. Quantum channel constructed from quantum Bernoulli noises[J]. Journal of Lanzhou University of Technology, 2026, 52(4): 159-165.

导出引用管理器 EndNote|Reference Manager|ProCite|BibTeX|RefWorks

链接本文: https://journal.lut.edu.cn/CN/10.13295/j.cnki.issn1673-5196.2026.04.019

https://journal.lut.edu.cn/CN/Y2026/V52/I4/159

参考文献

[1] Davies E B.Quantum stochastic processes[J].Communications in Mathematical Physics,1970,19(2):83-105.
[2] Bruneau L,Joye A,Merkli M.Repeated interactions in open quantum systems[J].Journal of Mathematical Physics,2014,55(7):1-67.
[3] Carbone R,Pautrat Y.Irreducible decompositions and stationary states of quantum channels[J].Reports on Mathematical Physics,2016,77(3):293-313.
[4] Nielsen M A,Chuang I L.Quantum computation and quantum information[M].Cambridge:Cambridge University Press,2000:353-394.
[5] Ohya M.Entropy transmission in-dynamical systems[J].Journal of Mathematical Analysis and Applications,1984,100(1):222-235.
[6] Accardi L.Computations of mutual entropy in quantum Markov chains[J].Open Systems and Information Dynamics,1994,2(3):337-354.
[7] Ohmura K,Watanabe N.Quantum dynamical mutual entropy based on AOW entropy[J].Open Systems & Information Dynamics,2019,26(2):1950009.
[8] 张淑仪,席政军.量子假设检验互信息[J].计算机研究与发展,2021,58(9):1906-1914.
[9] Wang C S,Chai H F,Lu Y C.Discrete-time quantum Bernoulli noises[J].Journal of Mathematical Physics,2010,51(5):053528.
[10] Wang C S,Zhang J H.Localization of quantum Bernoulli noises[J].Journal of Mathematical Physics,2013,54(10):103502.
[11] Han Q,Chen Z H,Lu Z Q.Quantum entropy in terms of local quantum Bernoulli noises and related properties[J].Communications in Statistics Theory and Methods,2022,51(12):4210-4220.
[12] Han Q,Han Y Y,Kou Y X,et al.Quantum mutual entropy in terms of local quantum Bernoulli noises[J].Communications in Statistics Theory and Methods,2023,52(3):515-522.
[13] Han Q,Wang S,Gou L G,et al.Quantum conditional entropy based on local quantum Bernoulli noises[J].Reviews in Mathematical Physics,2023,36(2):2350037.
[14] Wang C S,Lu Y C,Chai H F.An alternative approach to Privault’s discrete-time chaotic calculus[J].Journal of Mathematical Analysis and Applications,2011,373(2):643-654.
[15] Kossakowski A,Ohya M,Watanabe N. Quantum dynamical entropy for completely positive map[J].Infinite Dimensional Analysis,Quantum Probability and Related Topics,1999,2(2):267-282.
[16] Ohya M.On compound state and mutual information in quantum information theory[J].IEEE Transactions on Information Theory,1983,29(5):770-774.

一类由量子Bernoulli噪声构造的量子信道

Quantum channel constructed from quantum Bernoulli noises

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	袁瑞博, 赵荣珍, 邓林峰. 基于LMD多尺度样本熵和GG聚类的滚动轴承故障辨识方法[J]. 兰州理工大学学报, 2026, 52(1): 56-62.
[2]	曹慧超, 王生钰, 李炜, 杨建峰. 苯烯比控制系统控制器性能评估方法[J]. 兰州理工大学学报, 2026, 52(1): 76-84.
[3]	马驰, 赵荣珍, 原健辉, 郑玉巧. 基于特征选择的集成极限学习机故障辨识方法[J]. 兰州理工大学学报, 2025, 51(2): 44-50.
[4]	项长生, 赵冉, 周宇, 王立宪, 刘海龙. 基于广义柔度矩阵和信息熵的梁结构损伤识别方法研究[J]. 兰州理工大学学报, 2025, 51(2): 126-134.
[5]	李大鹏, 邓国辉, 吴志国, 宣蕊. FeCrMnAl_xCu_(2－x)高熵合金的组织与性能[J]. 兰州理工大学学报, 2024, 50(4): 6-11.
[6]	王鹏辉, 张晓波. 形变热处理调控AlCoCrFeNi_2.1高熵合金组织及性能[J]. 兰州理工大学学报, 2024, 50(4): 1-5.
[7]	李季菁, 胡世文, 刘德学. 核用TiNbVMo-(Zr, Cr)系难熔高熵合金的组织和性能[J]. 兰州理工大学学报, 2024, 50(2): 1-8.
[8]	郑万鹏, 念腾飞, 王国伟, 魏智强, 刘宗成, 刘文科. 基于灰熵理论的沥青混合料层间抗剪切疲劳影响因素探讨[J]. 兰州理工大学学报, 2023, 49(6): 138-144.
[9]	张云升, 胡向楠, 薛翠真. 花岗岩石粉细度与砂浆强度灰熵分析[J]. 兰州理工大学学报, 2023, 49(6): 16-21.
[10]	边春华, 杨伟杰, 张维, 李邱达, 文杰, 冯力. FeCr相与AlCo相在AlCoCrCuFeNi高熵合金涂层摩擦过程中的作用分析[J]. 兰州理工大学学报, 2023, 49(2): 9-16.
[11]	赵燕春, 师自强, 张林浩, 张敏亚, 寇生中. 均匀化处理对Fe基中熵合金组织及力学性能影响[J]. 兰州理工大学学报, 2023, 49(1): 1-6.
[12]	谢小正, 王晋, 赵荣珍, 李俊, 吕伟前. 基于小波包能量熵和GWO-SVM的滚动轴承故障诊断[J]. 兰州理工大学学报, 2022, 48(5): 59-64.
[13]	李奋强, 殷乐, 张书涛, 卢彦钠, 韩素斌. 基于变权-VIKOR理论的产品外观方案评价方法研究[J]. 兰州理工大学学报, 2022, 48(4): 56-63.
[14]	赵小强, 蒋红梅. 基于可调节判别器的领域适应[J]. 兰州理工大学学报, 2022, 48(1): 85-90.
[15]	卢鹏丽, 薛玉龙. 基于拉普拉斯度的k-均匀超图的图熵极值[J]. 兰州理工大学学报, 2021, 47(3): 150-155.