A Matrix Convexity Approach to Some Celebrated Quantum Inequalities
| Autor: | Effros, Edward G. |
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| Rok vydání: | 2008 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1073/pnas.0807965106 |
| Popis: | Some of the important inequalities associated with quantum entropy are immediate algebraic consequences of the Hansen-Pedersen-Jensen inequality. A general argument is given using matrix perspectives of operator convex functions. A matrix analogue of Mar\'{e}chal's extended perspectives provides additional inequalities, including a $p+q\leq 1$ result of Lieb. Comment: 8 pages |
| Databáze: | arXiv |
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