3 citations · 3 across the 2 of their papers we have counts for
6 papers
Local lower bounds on characteristics of quantum and classical systems
M. E. Shirokov
We consider methods for obtaining local lower bounds on characteristics of quantum (correspondingly, classical) systems, i.e. lower bounds valid in the trace norm -neighborhood…
Optimal form of the Kretschmann-Schlingemann-Werner theorem for energy-constrained quantum channels and operations
M. E. Shirokov
It is proved that the energy-constrained Bures distance between arbitrary infinite-dimensional quantum channels is equal to the operator E-norm distance from any given Stinespring…
Advanced Alicki-Fannes-Winter method for energy-constrained quantum systems and its use
M. E. Shirokov
We describe an universal method for quantitative continuity analysis of entropic characteristics of energy-constrained quantum systems and channels. It gives asymptotically tight c…
Operator E-norms and their use
M. E. Shirokov
We consider a family of norms (called operator E-norms) on the algebra of all bounded operators on a separable Hilbert space induced by a positive densely defined operat…
Uniform finite-dimensional approximation of basic capacities of energy-constrained channels
M. E. Shirokov
We consider energy-constrained infinite-dimensional quantum channels from a given system (satisfying a certain condition) to any other systems. We show that dealing with basic capa…
Adaptation of the Alicki-Fannes-Winter method for the set of states with bounded energy and its use
M. E. Shirokov
We describe a modification of the Alicki-Fannes-Winter method which allows to prove uniform continuity on the set of quantum states with bounded energy of any locally almost affine…