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

Access to Document

10.1063/1.4989809

Cite this

@article{f8f6e278f2b04081aae92538dd9789d8,

title = "Norms of quantum Gaussian multi-mode channels",

abstract = "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.",

author = "Frank, {Rupert L.} and Lieb, {Elliott H.}",

year = "2017",

month = jun,

day = "1",

doi = "10.1063/1.4989809",

language = "English (US)",

volume = "58",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics Publising LLC",

number = "6",

}

TY - JOUR

T1 - Norms of quantum Gaussian multi-mode channels

AU - Frank, Rupert L.

AU - Lieb, Elliott H.

PY - 2017/6/1

Y1 - 2017/6/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85021632264&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021632264&partnerID=8YFLogxK

U2 - 10.1063/1.4989809

DO - 10.1063/1.4989809

M3 - Article

AN - SCOPUS:85021632264

SN - 0022-2488

VL - 58

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 6

M1 - 062204

ER -

Norms of quantum Gaussian multi-mode channels

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this