dorsal/arxiv
View SchemaInvariance of Stationary and Ergodic Properties of a Quantum Source under Memoryless Transformations
| Authors | Alexei Kaltchenko, En-Hui Yang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211034 |
| URL | https://arxiv.org/abs/quant-ph/0211034 |
Abstract
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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"abstract": "We prove that the stationarity and the ergodicity of a quantum source are\npreserved by any trace-preserving completely positive linear map of the tensor\nproduct form ${\\cal E}^{\\otimes m}$, where a copy of ${\\cal E}$ acts locally on\neach spin lattice site. We also establish ergodicity criteria for so called\nclassically-correlated quantum sources.",
"arxiv_id": "quant-ph/0211034",
"authors": [
"Alexei Kaltchenko",
"En-Hui Yang"
],
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"quant-ph"
],
"title": "Invariance of Stationary and Ergodic Properties of a Quantum Source under Memoryless Transformations",
"url": "https://arxiv.org/abs/quant-ph/0211034"
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