数理科学

一类由量子Bernoulli噪声构造的量子信道

  • 唐玉玲
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  • 河西学院 数学学院, 甘肃 张掖 734000

收稿日期: 2024-04-15

  网络出版日期: 2026-09-03

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
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  • School of Mathematics, Hexi University, Zhangye 734000, China

Received date: 2024-04-15

  Online published: 2026-09-03

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.

本文引用格式

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 . DOI: 10.13295/j.cnki.issn1673-5196.2026.04.019

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.

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