dorsal/arxiv
View SchemaOn quantum channels
| Authors | Frank Verstraete, Henri Verschelde |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202124 |
| URL | https://arxiv.org/abs/quant-ph/0202124 |
Abstract
One of the most challenging open problems in quantum information theory is to clarify and quantify how entanglement behaves when part of an entangled state is sent through a quantum channel. Of central importance in the description of a quantum channel or completely positive map (CP-map) is the dual state associated to it. The present paper is a collection of well-known, less known and new results on quantum channels, presented in a unified way. We will show how this dual state induces nice characterizations of the extremal maps of the convex set of CP-maps, and how normal forms for states defined on a Hilbert space with a tensor product structure lead to interesting parameterizations of quantum channels.
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"abstract": "One of the most challenging open problems in quantum information theory is to\nclarify and quantify how entanglement behaves when part of an entangled state\nis sent through a quantum channel. Of central importance in the description of\na quantum channel or completely positive map (CP-map) is the dual state\nassociated to it. The present paper is a collection of well-known, less known\nand new results on quantum channels, presented in a unified way. We will show\nhow this dual state induces nice characterizations of the extremal maps of the\nconvex set of CP-maps, and how normal forms for states defined on a Hilbert\nspace with a tensor product structure lead to interesting parameterizations of\nquantum channels.",
"arxiv_id": "quant-ph/0202124",
"authors": [
"Frank Verstraete",
"Henri Verschelde"
],
"categories": [
"quant-ph"
],
"title": "On quantum channels",
"url": "https://arxiv.org/abs/quant-ph/0202124"
},
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