Let (T(*)t) be a predual quantum Markov semigroup acting on the full 2 x 2-matrix algebra and having an absorbing pure state. We prove that for any initial state., the net of orthogonal measures representing the net of states (T(*)t(.)) satisfies a large deviation principle in the pure state space, with a rate function given in terms of the generator, and which does not depend on.. This implies that (T(*)t(.)) is faithful for all t large enough. Examples arising in weak coupling limit are studied.
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机译：令（T（*）t）为作用于完整2 x 2矩阵代数并具有吸收纯态的阶量子马尔可夫半群。我们证明，对于任何初始状态，表示状态网（T（*）t（。））的正交度量网都满足纯状态空间中的大偏差原理，并且速率函数以生成器的形式给出，并且不依赖于。。这意味着（T（*）t（。））对于所有足够大的t都是忠实的。研究了弱耦合极限的例子。
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