The automorphism group of separable states in quantum information theory

Shmuel Friedland; Chi Kwong Li; Yiu Tung Poon; Nung Sing Sze

doi:10.1063/1.3578015

The automorphism group of separable states in quantum information theory

Shmuel Friedland, Chi Kwong Li, Yiu Tung Poon, Nung Sing Sze

Research output: Journal article publication › Journal article › Academic research › peer-review

40 Citations (Scopus)

Abstract

We show that the linear group of automorphism of Hermitian matrices which preserves the set of separable states is generated by natural automorphisms: change of an orthonormal basis in each tensor factor, partial transpose in each tensor factor, and interchanging two tensor factors of the same dimension. We apply our results to the preservers of the product numerical range.

Original language	English
Article number	042203
Journal	Journal of Mathematical Physics
Volume	52
Issue number	4
DOIs	https://doi.org/10.1063/1.3578015
Publication status	Published - 5 Apr 2011

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

More information

10.1063/1.3578015

http://hdl.handle.net/10397/7675

Cite this

@article{c460bd0aadfb4720a18cc2bad116ed1f,

title = "The automorphism group of separable states in quantum information theory",

abstract = "We show that the linear group of automorphism of Hermitian matrices which preserves the set of separable states is generated by natural automorphisms: change of an orthonormal basis in each tensor factor, partial transpose in each tensor factor, and interchanging two tensor factors of the same dimension. We apply our results to the preservers of the product numerical range.",

author = "Shmuel Friedland and Li, {Chi Kwong} and Poon, {Yiu Tung} and Sze, {Nung Sing}",

year = "2011",

month = apr,

day = "5",

doi = "10.1063/1.3578015",

language = "English",

volume = "52",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "4",

}

TY - JOUR

T1 - The automorphism group of separable states in quantum information theory

AU - Friedland, Shmuel

AU - Li, Chi Kwong

AU - Poon, Yiu Tung

AU - Sze, Nung Sing

PY - 2011/4/5

Y1 - 2011/4/5

N2 - We show that the linear group of automorphism of Hermitian matrices which preserves the set of separable states is generated by natural automorphisms: change of an orthonormal basis in each tensor factor, partial transpose in each tensor factor, and interchanging two tensor factors of the same dimension. We apply our results to the preservers of the product numerical range.

AB - We show that the linear group of automorphism of Hermitian matrices which preserves the set of separable states is generated by natural automorphisms: change of an orthonormal basis in each tensor factor, partial transpose in each tensor factor, and interchanging two tensor factors of the same dimension. We apply our results to the preservers of the product numerical range.

UR - http://www.scopus.com/inward/record.url?scp=79955405128&partnerID=8YFLogxK

U2 - 10.1063/1.3578015

DO - 10.1063/1.3578015

M3 - Journal article

SN - 0022-2488

VL - 52

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 4

M1 - 042203

ER -

The automorphism group of separable states in quantum information theory

Abstract

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this