Invariant States for a Quantum Markov Semigroup Constructed from Quantum Bernoulli Noises

被引：5
作者：
Chen, Jinshu [1 ]
机构：
[1] Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
来源：
OPEN SYSTEMS & INFORMATION DYNAMICS | 2018年 / 25卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Quantum Bernoulli noise; quantum Markov semigroup; invariant state; detailed balance; STOCHASTIC-ANALYSIS; STATIONARY STATES;
D O I：
10.1142/S1230161218500191
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Quantum Bernoulli noises are the family of annihilation and creation operators acting on Bernoulli functionals, which satisfy a canonical anti-commutation relation (CAR) in equal-time. In this paper, we consider a quantum Markov semigroup constructed from quantum Bernoulli noises. Among others, we show that the semigroup has infinitely many faithful invariant states that are diagonal, and satisfies the quantum detailed balance condition.
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页数：18
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