dorsal/arxiv
View SchemaMultiplicativity of maximal output purities of Gaussian channels under Gaussian inputs
| Authors | A. Serafini, J. Eisert, M. M. Wolf |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406065 |
| URL | https://arxiv.org/abs/quant-ph/0406065 |
| DOI | 10.1103/PhysRevA.71.012320 |
| Journal | Phys. Rev. A 71, 012320 (2005) |
Abstract
We address the question of the multiplicativity of the maximal p-norm output purities of bosonic Gaussian channels under Gaussian inputs. We focus on general Gaussian channels resulting from the reduction of unitary dynamics in larger Hilbert spaces. It is shown that the maximal output purity of tensor products of single-mode channels under Gaussian inputs is multiplicative for any p>1 for products of arbitrary identical channels as well as for a large class of products of different channels. In the case of p=2 multiplicativity is shown to be true for arbitrary products of generic channels acting on any number of modes.
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"abstract": "We address the question of the multiplicativity of the maximal p-norm output\npurities of bosonic Gaussian channels under Gaussian inputs. We focus on\ngeneral Gaussian channels resulting from the reduction of unitary dynamics in\nlarger Hilbert spaces. It is shown that the maximal output purity of tensor\nproducts of single-mode channels under Gaussian inputs is multiplicative for\nany p\u003e1 for products of arbitrary identical channels as well as for a large\nclass of products of different channels. In the case of p=2 multiplicativity is\nshown to be true for arbitrary products of generic channels acting on any\nnumber of modes.",
"arxiv_id": "quant-ph/0406065",
"authors": [
"A. Serafini",
"J. Eisert",
"M. M. Wolf"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.71.012320",
"journal_ref": "Phys. Rev. A 71, 012320 (2005)",
"title": "Multiplicativity of maximal output purities of Gaussian channels under Gaussian inputs",
"url": "https://arxiv.org/abs/quant-ph/0406065"
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