dorsal/arxiv
View SchemaChained Typical Subspaces - a Quantum Version of Breiman's Theorem
| Authors | Igor Bjelakovic, Tyll Krueger, Rainer Siegmund-Schultze, Arleta Szkola |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301177 |
| URL | https://arxiv.org/abs/quant-ph/0301177 |
Abstract
We give an equivalent finitary reformulation of the classical Shannon-McMillan-Breiman theorem which has an immediate translation to the case of ergodic quantum lattice systems. This version of a quantum Breiman theorem can be derived from the proof of the quantum Shannon-McMillan theorem presented in our previous work (math.DS/0207121).
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"abstract": "We give an equivalent finitary reformulation of the classical\nShannon-McMillan-Breiman theorem which has an immediate translation to the case\nof ergodic quantum lattice systems. This version of a quantum Breiman theorem\ncan be derived from the proof of the quantum Shannon-McMillan theorem presented\nin our previous work (math.DS/0207121).",
"arxiv_id": "quant-ph/0301177",
"authors": [
"Igor Bjelakovic",
"Tyll Krueger",
"Rainer Siegmund-Schultze",
"Arleta Szkola"
],
"categories": [
"quant-ph",
"math-ph",
"math.DS",
"math.MP",
"math.OA"
],
"title": "Chained Typical Subspaces - a Quantum Version of Breiman\u0027s Theorem",
"url": "https://arxiv.org/abs/quant-ph/0301177"
},
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