The automorphism group of separable states in quantum information theory
Quantum Physics
2015-05-20 v2
Abstract
We show that the linear group of automorphism of Hermitian matrices which preserves the set of separable states is generated by \emph{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.
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Cite
@article{arxiv.1012.4221,
title = {The automorphism group of separable states in quantum information theory},
author = {Shmuel Friedland and Chi-Kwong Li and Yiu-Tung Poon and Nung-Sing Sze},
journal= {arXiv preprint arXiv:1012.4221},
year = {2015}
}
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15 pages