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Pure Mathematics 2024
QBNs-时空非齐次开放量子游荡的量子信道表示
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Abstract:
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 acting
on Bernoulli functionals, which satisfy a canonical anti-commutation relation in equal
time. In this paper, based on the quantum Bernoulli noises method, we consider one-
dimensional space-time inhomogeneous open quantum walk. The Kraus operators
system is introduced and investigated by means of space-time inhomogeneous coin
operator pairs. We give the quantum channel representation of the model by using
the Kraus operator system and discuss its properties.
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