In this paper, we study the environment induced decoherence of quantum exclusion semigroups constructed by quantum Bernoulli noises. We first study the structure of the decoherence-free algebra and discuss some of its properties, and give the conditions for its possible mutual inclusions with the set of fixed points. Then we describe the structure of the set of fixed points and use the new results obtained here to discuss the environment induced decoherence properties of the semigroup.

中文翻译：

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量子伯努利噪声下的量子排斥半群的环境退相干

在本文中，我们研究了由量子伯努利噪声构造的量子排斥半群的环境引起的退相干。我们首先研究了无退相干代数的结构并讨论了它的一些性质，并给出了它与不动点集可能互包含的条件。然后我们描述不动点集的结构，并使用这里获得的新结果来讨论半群的环境引起的退相干性质。