Linear preservers of tensor product of unitary orbits, and product numerical range

Chi Kwong Li; Yiu Tung Poonl; Nung Sing Sze

doi:10.1016/j.laa.2011.07.039

Linear preservers of tensor product of unitary orbits, and product numerical range

Chi Kwong Li, Yiu Tung Poonl, Nung Sing Sze

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

14 Citations (Scopus)

Abstract

It is shown that the linear group of automorphism of Hermitian matrices which preserves the tensor product of unitary orbits 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. The result is then applied to show that automorphisms of the product numerical ranges have the same structure.

Original language	English
Pages (from-to)	3797-3803
Number of pages	7
Journal	Linear Algebra and Its Applications
Volume	438
Issue number	10
DOIs	https://doi.org/10.1016/j.laa.2011.07.039
Publication status	Published - 15 May 2013

Keywords

Automorphism
Density matrices
Partial transpose
Product numerical range
Quantum states
Unitary orbits

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

More information

10.1016/j.laa.2011.07.039

Cite this

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KW - Density matrices

KW - Partial transpose

KW - Product numerical range

KW - Quantum states

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Linear preservers of tensor product of unitary orbits, and product numerical range

Abstract

Keywords

ASJC Scopus subject areas

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