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A matrix convexity approach to some celebrated quantum inequalities

Some of the important inequalities associated with quantum entropy are immediate algebraic consequences of the Hansen–Pedersen–Jensen inequalities. A general argument is given using matrix perspectives of operator convex functions. A matrix analogue of Maréchal's extended perspectives provides...

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Autor principal: Effros, Edward G.
Formato: Artigo
Lenguaje:Inglês
Publicado: National Academy of Sciences 2009
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Acceso en línea:https://ncbi.nlm.nih.gov/pmc/articles/PMC2633548/
https://ncbi.nlm.nih.gov/pubmed/19164582
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0807965106
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