论文标题
量子马尔可夫半群的痕量距离
Trace distance ergodicity for quantum Markov semigroups
论文作者
论文摘要
我们讨论了量子马尔可夫半群的定量终身制，从距固定状态的痕量距离方面，提供了基于lindblad发电机的光谱分解的一般标准。然后，我们将此标准应用于骨气和费米克的Ornstein-uhlenbeck半群，并将其应用于由半密布的代数代数参数及其不可还原表示的量子Markov Semigroups的家族，其中Lindblad Generator由Casimir元素的相邻动作给出了Lindblad Generator。
We discuss the quantitative ergodicity of quantum Markov semigroups in terms of the trace distance from the stationary state, providing a general criterion based on the spectral decomposition of the Lindblad generator. We then apply this criterion to the bosonic and fermionic Ornstein-Uhlenbeck semigroups and to a family of quantum Markov semigroups parametrized by semisimple Lie algebras and their irreducible representations, in which the Lindblad generator is given by the adjoint action of the Casimir element.
