dorsal/arxiv
View SchemaThe private classical capacity and quantum capacity of a quantum channel
| Authors | I. Devetak |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304127 |
| URL | https://arxiv.org/abs/quant-ph/0304127 |
Abstract
A formula for the capacity of a quantum channel for transmitting private classical information is derived. This is shown to be equal to the capacity of the channel for generating a secret key, and neither capacity is enhanced by forward public classical communication. Motivated by the work of Schumacher and Westmoreland on quantum privacy and quantum coherence, parallels between private classical information and quantum information are exploited to obtain an expression for the capacity of a quantum channel for generating pure bipartite entanglement. The latter implies a new proof of the quantum channel coding theorem and a simple proof of the converse. The coherent information plays a role in all of the above mentioned capacities.
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"date_created": "2026-03-02T18:01:59.608000Z",
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"abstract": "A formula for the capacity of a quantum channel for transmitting private\nclassical information is derived. This is shown to be equal to the capacity of\nthe channel for generating a secret key, and neither capacity is enhanced by\nforward public classical communication. Motivated by the work of Schumacher and\nWestmoreland on quantum privacy and quantum coherence, parallels between\nprivate classical information and quantum information are exploited to obtain\nan expression for the capacity of a quantum channel for generating pure\nbipartite entanglement. The latter implies a new proof of the quantum channel\ncoding theorem and a simple proof of the converse. The coherent information\nplays a role in all of the above mentioned capacities.",
"arxiv_id": "quant-ph/0304127",
"authors": [
"I. Devetak"
],
"categories": [
"quant-ph"
],
"title": "The private classical capacity and quantum capacity of a quantum channel",
"url": "https://arxiv.org/abs/quant-ph/0304127"
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