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.

中文翻译：

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由量子伯努利噪声构造的量子马尔可夫半群的不变态

量子伯努利噪声是作用于伯努利泛函的湮灭和创造算子家族，它们同时满足典型的反交换关系（CAR）。在本文中，我们考虑由量子伯努利噪声构造的量子马尔可夫半群。其中，我们证明了半群具有无限多个忠实不变的对角线不变状态，并且满足量子详细平衡条件。