# New Perspectives and some Celebrated Quantum Inequalities

@article{Effros2008NewPA, title={New Perspectives and some Celebrated Quantum Inequalities}, author={Edward G. Effros}, journal={ArXiv}, year={2008}, volume={abs/0802.0006} }

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.

## One Citation

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