A matrix convexity approach to some celebrated quantum inequalities.
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- Record sourced from PubMed, PMID 19164582.
- Also identified by DOI 10.1073/pnas.0807965106 and PMC identifier 2633548.
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Abstract
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 additional inequalities, including a p + q < or = 1 result of Lieb.