608 citations · 2.5k across the 47 of their papers we have counts for
47 papers
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…
Extreme Points and Factorizability for New Classes of Unital Quantum Channels
Uffe Haagerup, Magdalena Musat, Mary Beth Ruskai
We introduce and study two new classes of unital quantum channels. The first class describes a 2-parameter family of channels given by completely positive (CP) maps $M_3({\bf C}) \…
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…