dorsal/arxiv
View SchemaDegradability of Bosonic Gaussian channels
| Authors | Filippo Caruso, Vittorio Giovannetti |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603257 |
| URL | https://arxiv.org/abs/quant-ph/0603257 |
| DOI | 10.1103/PhysRevA.74.062307 |
| Journal | Physical Review A 74, 062307 (2006) |
Abstract
The notion of weak-degradability of quantum channels is introduced by generalizing the degradability definition given by Devetak and Shor. Exploiting the unitary equivalence with beam-splitter/amplifier channels we then prove that a large class of one-mode Bosonic Gaussian channels are either weakly degradable or anti-degradable. In the latter case this implies that their quantum capacity Q is null. In the former case instead, this allows us to establish the additivity of the coherent information for those maps which admit unitary representation with single-mode pure environment.
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"abstract": "The notion of weak-degradability of quantum channels is introduced by\ngeneralizing the degradability definition given by Devetak and Shor. Exploiting\nthe unitary equivalence with beam-splitter/amplifier channels we then prove\nthat a large class of one-mode Bosonic Gaussian channels are either weakly\ndegradable or anti-degradable. In the latter case this implies that their\nquantum capacity Q is null. In the former case instead, this allows us to\nestablish the additivity of the coherent information for those maps which admit\nunitary representation with single-mode pure environment.",
"arxiv_id": "quant-ph/0603257",
"authors": [
"Filippo Caruso",
"Vittorio Giovannetti"
],
"categories": [
"quant-ph",
"cond-mat.other",
"physics.optics"
],
"doi": "10.1103/PhysRevA.74.062307",
"journal_ref": "Physical Review A 74, 062307 (2006)",
"title": "Degradability of Bosonic Gaussian channels",
"url": "https://arxiv.org/abs/quant-ph/0603257"
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