The automorphism group of separable states in quantum information theory

2010/12/31 by Shmuel Friedland, Chi-Kwong Li, Yiu-Tung Poon +1 · 1 citation
Physics and Astronomy · #quant-ph #msc:15A04 #msc:15A86 #msc:15A60

paper · pdf · doi:10.1063/1.3578015

15 pages

arxiv created 2011/04/08 · arxiv updated 2015/05/20

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 preservers of the product numerical range.

Cited by

• Symmetry, entanglement, and the S-matrix

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