60 citations · 483 across the 37 of their papers we have counts for
39 papers
Log-Sobolev inequality, von Neumann entropy and Entanglement of Formation
A. S. Holevo, M. E. Shirokov
We present two results derived from the sharp log-Sobolev inequality for the uniform measure on a complete graph which concern the von Neumann entropy and the Entanglement of Forma…
On supporting affine functionals for Entanglement of Formation
A. S. Holevo, M. E. Shirokov
In several articles, the authors assume that the convex roof structure of the EoF and finite-dimensionality of subsystems and guarantee the existence of the (global) suppor…
On average output entropy of a quantum channel
M. E. Shirokov
We describe analytical properties of the average output entropy of a quantum channel as a function of a pair (channel, input ensemble). In particular, tight semicontinuity bounds f…
Continuity of the relative entropy of resource
Ludovico Lami, Maksim E. Shirokov
A criterion of local continuity of the relative entropy of resource -- the relative entropy distance to the set of free states -- is obtained. Several basic corollaries of this cri…
Correlation measures of a quantum state and information characteristics of a quantum channel
M. E. Shirokov
We discuss the interconnections between basic correlation measures of a bipartite quantum state and basic information characteristics of a quantum channel, focusing on the benefits…
On mutually inverse transforms of functions on a half-line
V. Yu. Protasov, M. E. Shirokov
Two transforms of functions on a half-line are considered. It is proved that their composition gives a concave majorant for every nonnegative function. In particular, this composit…