New Perspectives and some Celebrated Quantum Inequalities

Details New Perspectives and some Celebrated Quantum Inequalities New Perspectives and some Celebrated Quantum Inequalities

2008-01-31

arxiv.org/abs/0802.0006v2

Physics

Mathematical Physics

Scientific paper

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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