New Perspectives and some Celebrated Quantum Inequalities
نویسنده
چکیده
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 Maréchal’s extended perspectives provides additional inequalities, including a p + q ≤ 1 result of Lieb.
منابع مشابه
A matrix convexity approach to some celebrated quantum inequalities.
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.
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عنوان ژورنال:
- CoRR
دوره abs/0802.0006 شماره
صفحات -
تاریخ انتشار 2008