dorsal/arxiv
View SchemaAdditivity and multiplicativity properties of some Gaussian channels for Gaussian inputs
| Authors | Tohya Hiroshima |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511006 |
| URL | https://arxiv.org/abs/quant-ph/0511006 |
| DOI | 10.1103/PhysRevA.73.012330 |
| Journal | Phys. Rev. A 73, 012330 (2006) |
Abstract
We prove multiplicativity of maximal output $p$ norm of classical noise channels and thermal noise channels of arbitrary modes for all $p>1$ under the assumption that the input signal states are Gaussian states. As a direct consequence, we also show the additivity of the minimal output entropy and that of the energy-constrained Holevo capacity for those Gaussian channels under Gaussian inputs. To the best of our knowledge, newly discovered majorization relation on symplectic eigenvalues, which is also of independent interest, plays a central role in the proof.
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"abstract": "We prove multiplicativity of maximal output $p$ norm of classical noise\nchannels and thermal noise channels of arbitrary modes for all $p\u003e1$ under the\nassumption that the input signal states are Gaussian states. As a direct\nconsequence, we also show the additivity of the minimal output entropy and that\nof the energy-constrained Holevo capacity for those Gaussian channels under\nGaussian inputs. To the best of our knowledge, newly discovered majorization\nrelation on symplectic eigenvalues, which is also of independent interest,\nplays a central role in the proof.",
"arxiv_id": "quant-ph/0511006",
"authors": [
"Tohya Hiroshima"
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"doi": "10.1103/PhysRevA.73.012330",
"journal_ref": "Phys. Rev. A 73, 012330 (2006)",
"title": "Additivity and multiplicativity properties of some Gaussian channels for Gaussian inputs",
"url": "https://arxiv.org/abs/quant-ph/0511006"
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