dorsal/arxiv
View SchemaGeneral Entanglement Breaking Channels
| Authors | Michael Horodecki, Peter W. Shor, Mary Beth Ruskai |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302031 |
| URL | https://arxiv.org/abs/quant-ph/0302031 |
| DOI | 10.1142/S0129055X03001709 |
| Journal | Rev. Math. Phys 15, 629--641 (2003) |
Abstract
This paper studies the class of stochastic maps, or channels, whose action (when tensored with the identity) on an entangled state always yields a separable state. Such maps have a canonical form introduced by Holevo. Such maps are called entanglement breaking, and can always be written in a canonical form introduced by Holevo. Some special classes of these maps are considered and several equivalent characterizations given. Since the set of entanglement-breaking trace-preserving maps is convex, it can be described by its extreme points. The only extreme points of the set of completely positive trace preserving maps which are also entanglement breaking are those known as classical quantum or CQ. However, for d > 2 the set of entanglement breaking maps has additional extreme points which are not extreme CQ maps.
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"abstract": "This paper studies the class of stochastic maps, or channels, whose action\n(when tensored with the identity) on an entangled state always yields a\nseparable state. Such maps have a canonical form introduced by Holevo. Such\nmaps are called entanglement breaking, and can always be written in a canonical\nform introduced by Holevo. Some special classes of these maps are considered\nand several equivalent characterizations given.\n Since the set of entanglement-breaking trace-preserving maps is convex, it\ncan be described by its extreme points. The only extreme points of the set of\ncompletely positive trace preserving maps which are also entanglement breaking\nare those known as classical quantum or CQ. However, for d \u003e 2 the set of\nentanglement breaking maps has additional extreme points which are not extreme\nCQ maps.",
"arxiv_id": "quant-ph/0302031",
"authors": [
"Michael Horodecki",
"Peter W. Shor",
"Mary Beth Ruskai"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1142/S0129055X03001709",
"journal_ref": "Rev. Math. Phys 15, 629--641 (2003)",
"title": "General Entanglement Breaking Channels",
"url": "https://arxiv.org/abs/quant-ph/0302031"
},
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