Norms of quantum Gaussian multi-mode channels

Rupert L. Frank; Elliott H. Lieb

doi:10.1063/1.4989809

Norms of quantum Gaussian multi-mode channels

Rupert L. Frank, Elliott H. Lieb

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We compute the S^p→S^p norm of a general Gaussian gauge-covariant multi-mode channel for any 1 ≥ p >∞, where Sp is a Schatten space. As a consequence, we verify the Gaussian optimizer conjecture and the multiplicativity conjecture in these cases.

Original language	English (US)
Article number	062204
Journal	Journal of Mathematical Physics
Volume	58
Issue number	6
DOIs	https://doi.org/10.1063/1.4989809
State	Published - Jun 1 2017

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.4989809

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AU - Lieb, Elliott H.

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AB - We compute the Sp→Sp norm of a general Gaussian gauge-covariant multi-mode channel for any 1 ≥ p >∞, where Sp is a Schatten space. As a consequence, we verify the Gaussian optimizer conjecture and the multiplicativity conjecture in these cases.

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Norms of quantum Gaussian multi-mode channels

Abstract

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