dorsal/arxiv
View SchemaData compression limit for an information source of interacting qubits
| Authors | Nilanjana Datta, Yuri Suhov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0207069 |
| URL | https://arxiv.org/abs/quant-ph/0207069 |
Abstract
A system of interacting qubits can be viewed as a non-i.i.d quantum information source. A possible model of such a source is provided by a quantum spin system, in which spin-1/2 particles located at sites of a lattice interact with each other. We establish the limit for the compression of information from such a source and show that asymptotically it is given by the von Neumann entropy rate. Our result can be viewed as a quantum analog of Shannon's noiseless coding theorem for a class of non - i.i.d. quantum information sources.
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"abstract": "A system of interacting qubits can be viewed as a non-i.i.d quantum\ninformation source. A possible model of such a source is provided by a quantum\nspin system, in which spin-1/2 particles located at sites of a lattice interact\nwith each other. We establish the limit for the compression of information from\nsuch a source and show that asymptotically it is given by the von Neumann\nentropy rate. Our result can be viewed as a quantum analog of Shannon\u0027s\nnoiseless coding theorem for a class of non - i.i.d. quantum information\nsources.",
"arxiv_id": "quant-ph/0207069",
"authors": [
"Nilanjana Datta",
"Yuri Suhov"
],
"categories": [
"quant-ph",
"cs.IT",
"math-ph",
"math.IT",
"math.MP"
],
"title": "Data compression limit for an information source of interacting qubits",
"url": "https://arxiv.org/abs/quant-ph/0207069"
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