New Perspectives and some Celebrated Quantum Inequalities
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🧮 math-ph
cs.ITmath.ITmath.MP
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inequalitiesmatrixperspectivesquantumsomeadditionalalgebraicanalogue
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Some of the important inequalities associated with quantum entropy are immediate algebraic consequences of the Hansen-Pedersen-Jensen inequality. A general argument is given in terms of the matrix perspective of an operator convex function. A matrix analogue of Mar\'{e}chal's extended perspectives provides additional inequalities, including a $p+q\leq 1$ result of Lieb.
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