64 citations · 436 across the 35 of their papers we have counts for
23 papers · 1 filter
Explicit error bounds for entanglement transformations between sparse multipartite states
Dávid Bugár, Péter Vrana
The trade-off relation between the rate and the strong converse exponent for probabilistic asymptotic entanglement transformations between pure multipartite states can in principle…
Geometric relative entropies and barycentric Rényi divergences
Milán Mosonyi, Gergely Bunth, Péter Vrana
We give systematic ways of defining monotone quantum relative entropies and (multi-variate) quantum Rényi divergences starting from a set of monotone quantum relative entropies. De…
Equivariant relative submajorization
Gergely Bunth, Péter Vrana
We study a generalization of relative submajorization that compares pairs of positive operators on representation spaces of some fixed group. A pair equivariantly relatively submaj…
Asymptotic continuity of additive entanglement measures
Péter Vrana
We study rates asymptotic of transformations between entangled states by local operations and classical communication and a sublinear amount of quantum communication. It is known t…
Asymptotic relative submajorization of multiple-state boxes
Gergely Bunth, Péter Vrana
Pairs of states, or "boxes" are the basic objects in the resource theory of asymmetric distinguishability (Wang and Wilde, 2019), where free operations are arbitrary quantum channe…
The semiring of dichotomies and asymptotic relative submajorization
Christopher Perry, Péter Vrana, Albert H. Werner
We study quantum dichotomies and the resource theory of asymmetric distinguishability using a generalization of Strassen's theorem on preordered semirings. We find that an asymptot…