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

45 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

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10.1063/1.3578015

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

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The automorphism group of separable states in quantum information theory

Abstract

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