608 citations · 2.5k across the 47 of their papers we have counts for
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Yet Another Proof of the Joint Convexity of Relative Entropy
Mary Beth Ruskai
The joint convexity of the map , an integral representation of operator convex functions, and an observation of Ando are used to obtain a simple proof o…
Local Additivity Revisited
Mary Beth Ruskai, Jon T. Yard
We make a number of simplifications in Gour and Friedland's proof of local additivity of minimum output entropy of a quantum channel. We follow them in reframing the question as on…
Bounds on the Concavity of Quantum Entropy
Isaac H. Kim, Mary Beth Ruskai
We give new upper and lower bounds on the concavity of quantum entropy. Comparisons are given with other results in the literature.
The Quantum Entropy Cone of Stabiliser States
Noah Linden, František Matúš, Mary Beth Ruskai +1
We investigate the universal linear inequalities that hold for the von Neumann entropies in a multi-party system, prepared in a stabiliser state. We demonstrate here that entropy v…
Families of completely positive maps associated with monotone metrics
Fumio Hiai, Hideki Kosaki, Denes Petz +1
An operator convex function on (0,\infty) which satisfies the symmetry condition k(1/x) = x k(x) can be used to define a type of non-commutative multiplication by a positive defini…
Remarks on on Kim's Strong Subadditivity Matrix Inequality: Extensions and Equality Conditions
Mary Beth Ruskai
We describe recent work of Kim in arXiv:1210.5190 to show that operator convex functions associated with quasi-entropies can be used to prove a large class of new matrix inequaliti…