dorsal/arxiv
View SchemaCoding Theorem for a Class of Quantum Channels with Long-Term Memory
| Authors | Nilanjana Datta, Tony Dorlas |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610049 |
| URL | https://arxiv.org/abs/quant-ph/0610049 |
| DOI | 10.1088/1751-8113/40/28/S20 |
Abstract
In this paper we consider the transmission of classical information through a class of quantum channels with long-term memory, which are given by convex combinations of product channels. Hence, the memory of such channels is given by a Markov chain which is aperiodic but not irreducible. We prove the coding theorem and weak converse for this class of channels. The main techniques that we employ, are a quantum version of Feinstein's Fundamental Lemma and a generalization of Helstrom's Theorem.
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"abstract": "In this paper we consider the transmission of classical information through a\nclass of quantum channels with long-term memory, which are given by convex\ncombinations of product channels. Hence, the memory of such channels is given\nby a Markov chain which is aperiodic but not irreducible. We prove the coding\ntheorem and weak converse for this class of channels. The main techniques that\nwe employ, are a quantum version of Feinstein\u0027s Fundamental Lemma and a\ngeneralization of Helstrom\u0027s Theorem.",
"arxiv_id": "quant-ph/0610049",
"authors": [
"Nilanjana Datta",
"Tony Dorlas"
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"quant-ph"
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"doi": "10.1088/1751-8113/40/28/S20",
"title": "Coding Theorem for a Class of Quantum Channels with Long-Term Memory",
"url": "https://arxiv.org/abs/quant-ph/0610049"
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