Geodesic
Maps on Quantum States in $C^{\ast }$-algebras Preserving von Neumann Entropy or Schatten $p$-norm of Convex Combinations
Canadian mathematical bulletin, Tome 62 (2019) no. 1, pp. 75-80

Voir la notice de l'article provenant de la source Cambridge

DOI

Very recently, Karder and Petek completely described maps on density matrices (positive semidefinite matrices with unit trace) preserving certain entropy-like convex functionals of any convex combination. As a result, maps could be characterized that preserve von Neumann entropy or Schatten $p$-norm of any convex combination of quantum states (whose mathematical representatives are the density matrices). In this note we consider these latter two problems on the set of invertible density operators, in a much more general setting, on the set of positive invertible elements with unit trace in a $C^{\ast }$-algebra.
DOI : 10.4153/CMB-2018-011-3
Mots-clés : density operator, entropy, Schatten p-norm, C∗ -algebra, normalized trace, preserver 
Gaál, Marcell. Maps on Quantum States in $C^{\ast }$-algebras Preserving von Neumann Entropy or Schatten $p$-norm of Convex Combinations. Canadian mathematical bulletin, Tome 62 (2019) no. 1, pp. 75-80. doi: 10.4153/CMB-2018-011-3
@article{10_4153_CMB_2018_011_3,
     author = {Ga\'al, Marcell},
     title = {Maps on {Quantum} {States} in $C^{\ast }$-algebras {Preserving} von {Neumann} {Entropy} or {Schatten} $p$-norm of {Convex} {Combinations}},
     journal = {Canadian mathematical bulletin},
     pages = {75--80},
     year = {2019},
     volume = {62},
     number = {1},
     doi = {10.4153/CMB-2018-011-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-011-3/}
}
TY  - JOUR
AU  - Gaál, Marcell
TI  - Maps on Quantum States in $C^{\ast }$-algebras Preserving von Neumann Entropy or Schatten $p$-norm of Convex Combinations
JO  - Canadian mathematical bulletin
PY  - 2019
SP  - 75
EP  - 80
VL  - 62
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-011-3/
DO  - 10.4153/CMB-2018-011-3
ID  - 10_4153_CMB_2018_011_3
ER  - 
%0 Journal Article
%A Gaál, Marcell
%T Maps on Quantum States in $C^{\ast }$-algebras Preserving von Neumann Entropy or Schatten $p$-norm of Convex Combinations
%J Canadian mathematical bulletin
%D 2019
%P 75-80
%V 62
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-011-3/
%R 10.4153/CMB-2018-011-3
%F 10_4153_CMB_2018_011_3

Cité par Sources :