Optimal commuting approximation of Hermitian operators

DOI10.1016/j.laa.2004.11.028zbMath1077.47022OpenAlexW2103203028MaRDI QIDQ1779270

Francesco Ticozzi

Publication date: 1 June 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.11.028

zbMATH Keywords

density matrixquantum information theorySylvester equationapproximation problemsoptimal decompositioncommuting decompositioncompact Hermitian operatorHilbert--Schmidt class

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operator approximation theory (47A58)

Cites Work

• Quantum probability for probabilists.
• On the matrix equations $AX - XB = C$ and $AX - YB = C$
• On the relation between additive and multiplicative decompositions of rational matrix functions
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