Optimal decompositions with respect to entropy and symmetries
type: Item
instance of: scholarly article
title: Optimal decompositions with respect to entropy and symmetries
zbMATH Open document ID: 0943.81021
DOI: 10.1023/A:1007537800344
published in: Letters in Mathematical Physics
publication date: 2000-09-10T00:00:00Z
review text: Research on quantum ergodic theory to some extend is fueled by recent progress in quantum computation and the observation that the ``degree of quantum entanglement'' is controlled and measured by the ``entropy of a subalgebra''. In their letter, the authors extend results previously obtained on the optimal (with respect to entropy of some abelian subalgebra) decompositions for three-level systems which may prove central to quantum information. The class of three-dimensional state spaces is enlarged by allowing now for complex symmetric density matrices parametrized by two real parameters. For the most part, calculations are done analytically. However, a supplementary numerical study seemed to be unavoidable. In their final chapter, the authors discuss to what extent optimal decompositions of generic \(3\times 3\) density matrices can be controlled.
Mathematics Subject Classification ID: 81S99
Mathematics Subject Classification ID: 81P68
Mathematics Subject Classification ID: 94A17
Mathematics Subject Classification ID: 37A35
zbMATH DE Number: 1331408
zbMATH Keywords: quantum entropy
zbMATH Keywords: quantum states
zbMATH Keywords: optimal decompositions for three-level systems
zbMATH Keywords: complex symmetric density matrices
author: F. Benatti
author: Heide Narnhofer
author: Armin Uhlmann
reviewed by: Gert Roepstorff
MaRDI profile type: Publication
full work available at URL: a:1007537800344
OpenAlex ID: W2145829729
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description: scientific article; zbMATH DE number 1331408