Invariance of Stationary and Ergodic Properties of a Quantum Source under Memoryless Transformations

Details Invariance of Stationary and Ergodic Properties of a Quantum Source under Memoryless Transformations Invariance of Stationary and Ergodic Properties of a Quantum Source under Memoryless Transformations

2002-11-07

arxiv.org/abs/quant-ph/0211034v2

Physics

Quantum Physics

9 pages, no figures; typos corrected, appendix and references added

Scientific paper

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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