QBNs-时空非齐次开放量子游荡的量子信道表示  

Quantum Channel Representation ofQBNs-Space-Time InhomogeneousOpen Quantum Walk

作　　者：于媛媛 张丽霞 

机构地区：[1]西北师范大学,数学与统计学院,甘肃 兰州

出　　处：《理论数学》2024年第1期241-252,共12页Pure Mathematics

摘　　要：量子 Bernoulli 噪声(QBNs) 是 Bernoulli 泛函空间和作用于其上的涅灭、增生算子族,满足一 种等时的典则反交换关系。 本文基于量子 Bernoulli 噪声方法,考虑了一维时空非齐次开放量子 游荡,通过时空非齐次性的 coin 算子对序列引入 Kraus 算子系并进行了相关研究,利用 Kraus 算子系给出该游荡的量子信道表示并讨论其性质。Quantum Bernoulli noises are a family of annihilation and creation operators actingon Bernoulli functionals, which satisfy a canonical anti-commutation relation in equaltime. In this paper, based on the quantum Bernoulli noises method, we consider one-dimensional space-time inhomogeneous open quantum walk. The Kraus operatorssystem is introduced and investigated by means of space-time inhomogeneous coinoperator pairs. We give the quantum channel representation of the model by usingthe Kraus operator system and discuss its properties.

关 键 词：量子 Bernoulli 噪声 开放量子游荡 时空非齐次 量子信道 

分 类 号：O17[理学—数学]