35 citations · 55 across the 6 of their papers we have counts for
7 papers
Semicontinuity bounds for the von Neumann entropy and partial majorization
M. E. Shirokov
We consider families of tight upper bounds on the difference with the rank/energy constraint imposed on the state which are valid provided that the state partia…
Quantum relative entropy: general convergence criterion and preservation of convergence under completely positive linear maps
M. E. Shirokov
A criterion and necessary conditions for convergence (local continuity) of the quantum relative entropy are obtained. Some applications of these results are considered. In particul…
On lower semicontinuity of the quantum conditional mutual information and its corollaries
M. E. Shirokov
It is well known that the quantum mutual information and its conditional version do not increase under local channels. I this paper we show that the recently established lower semi…
Simple characterization of positive linear maps preserving continuity of the von Neumann entropy
M. E. Shirokov
We show that a positive linear map preserves local continuity (convergence) of the entropy if and only if it preserves finiteness of the entropy, i.e. transforms operators with fin…
Measures of quantum correlations in infinite-dimensional systems
M. E. Shirokov
Several important measures of quantum correlations of a state of a finite-dimensional composite system are defined as linear combinations of marginal entropies of this state. This…
On equalities in two entropic inequalities
M. E. Shirokov
A simple criterion for local equality between the constrained Holevo capacity and the quantum mutual information of a quantum channel is obtained. It implies that the set of all st…
Reversibility conditions for quantum channels and their applications
M. E. Shirokov
A necessary condition for reversibility (sufficiency) of a quantum channel with respect to complete families of states with bounded rank is obtained. A full description (up to isom…