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 publicationJournal articleAcademic researchpeer-review

35 Citations (Scopus)


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 languageEnglish
Article number042203
JournalJournal of Mathematical Physics
Issue number4
Publication statusPublished - 5 Apr 2011

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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