量子源在无记忆变换下的平稳性和遍历性不变性
Invariance of Stationary and Ergodic Properties of a Quantum Source under Memoryless Transformations
摘要：
我们证明了量子源的平稳性和遍历性是由张量积形式${\cal E}^{\otimes m}$的任何保迹完全正线性映射保持的，其中${\cal E}$的一个拷贝局部作用在每个自旋格点上。我们还建立了所谓的经典关联量子源的遍历性准则。
英文摘要：
We prove that the stationarity and the ergodicity of a quantum source are preserved by any trace-preserving completely positive linear map of the tensor product form ${\cal E}^{\otimes m}$, where a copy of ${\cal E}$ acts locally on each spin lattice site. We also establish ergodicity criteria for so called classically-correlated quantum sources.
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