|
| related topics |
| {let, theorem, proof} |
| {observables, space, algebra} |
| {information, entropy, channel} |
| {classical, space, random} |
| {vol, operators, histories} |
| {energy, state, states} |
| {group, space, representation} |
| {state, states, entangled} |
| {operator, operators, space} |
|
Invariance of Stationary and Ergodic Properties of a Quantum Source
under Memoryless Transformations
Alexei Kaltchenko, En-Hui Yang
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0211034
- categories:
- quant-ph
- comments:
- 9 pages, no figures; typos corrected, appendix and references added
- arxiv_id:
- quant-ph/0211034
- created:
- 2002-11-07
- updated:
- 2003-02-25
Full article ▸
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