dorsal/arxiv
View SchemaOn Entropy Transmission for Quantum Channels
| Authors | Nasir Ganikhodjaev, Farrukh Mukhamedov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703245 |
| URL | https://arxiv.org/abs/quant-ph/0703245 |
| Journal | Appl. Math. & Inform. Sci} 1 (2007), 3, 12 pages |
Abstract
In this paper a notion of entropy transmission of quantum channels is introduced as a natural extension of Ohya's entropy. Here by quantum channel is meant unital completely positive mappings (ucp) of $B(H)$ into itself, where $H$ is an infinite dimensional Hilbert space. Using a representation theorem of ucp mapping we associate to every ucp map a uniquely determined state, and prove that entropy of ucp map is less then Ohya's entropy of the associated state.
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"abstract": "In this paper a notion of entropy transmission of quantum channels is\nintroduced as a natural extension of Ohya\u0027s entropy. Here by quantum channel is\nmeant unital completely positive mappings (ucp) of $B(H)$ into itself, where\n$H$ is an infinite dimensional Hilbert space. Using a representation theorem of\nucp mapping we associate to every ucp map a uniquely determined state, and\nprove that entropy of ucp map is less then Ohya\u0027s entropy of the associated\nstate.",
"arxiv_id": "quant-ph/0703245",
"authors": [
"Nasir Ganikhodjaev",
"Farrukh Mukhamedov"
],
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"quant-ph"
],
"journal_ref": "Appl. Math. \u0026 Inform. Sci} 1 (2007), 3, 12 pages",
"title": "On Entropy Transmission for Quantum Channels",
"url": "https://arxiv.org/abs/quant-ph/0703245"
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