Zobrazeno 1 - 10
of 326
pro vyhledávání: '"Shirokov, A. E."'
Autor:
Shirokov, M. E.
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 for this function with the rank/energy constraints are obtained by usin
Externí odkaz:
http://arxiv.org/abs/2404.07978
Autor:
Shirokov, M. E.
Special approximation technique for analysis of different characteristics of states of multipartite infinite-dimensional quantum systems is proposed and applied to the study of the relative entropy of $\pi$-entanglement and its regularisation. In par
Externí odkaz:
http://arxiv.org/abs/2401.02388
Autor:
Lami, Ludovico, Shirokov, Maksim E.
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 criterion are presented. Applications to the relative entropy of entangle
Externí odkaz:
http://arxiv.org/abs/2308.00696
Autor:
Shirokov, M. E.
A revised version of the compactness criterion for families of quantum operations in the strong convergence topology (obtained previously) is presented, along with a more detailed proof and the examples showing the necessity of this revision. Several
Externí odkaz:
http://arxiv.org/abs/2307.13694
Autor:
Shirokov, M. E.
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 of these interconnections for solving specific problems concerning th
Externí odkaz:
http://arxiv.org/abs/2304.05388
Autor:
Shirokov, M. E.
It is proved that the decrease of the quantum relative entropy under action of a quantum operation is a lower semicontinuous function of a pair of its arguments. This property implies, in particular, that the local discontinuity jumps of the quantum
Externí odkaz:
http://arxiv.org/abs/2302.04809
Autor:
Shirokov, M. E.
It is proved that the local discontinuity jumps of the quantum relative entropy do not increase under action of quantum channels and operations.
Comment: 9 pages, preliminary version, any comments are welcome. arXiv admin note: text overlap with
Comment: 9 pages, preliminary version, any comments are welcome. arXiv admin note: text overlap with
Externí odkaz:
http://arxiv.org/abs/2212.07999
Autor:
Shirokov, M. E.
We consider methods for obtaining local lower bounds on characteristics of quantum (correspondingly, classical) systems, i.e. lower bounds valid in the trace norm $\epsilon$-neighborhood of a given state (correspondingly, probability distribution). T
Externí odkaz:
http://arxiv.org/abs/2210.11462
Autor:
Shirokov, M. E.
Publikováno v:
Lett Math Phys 113, 121 (2023)
We consider a quasi-classical version of the Alicki-Fannes-Winter technique widely used for quantitative continuity analysis of characteristics of quantum systems and channels. This version allows us to obtain continuity bounds under constraints of d
Externí odkaz:
http://arxiv.org/abs/2207.08791
Autor:
Shirokov, M. E.
Publikováno v:
Sb. Math., 213:12 (2022), 1740-1772
A criterion and necessary conditions for convergence (local continuity) of the quantum relative entropy are obtained. Some applications of these results are considered. In particular, the preservation of local continuity of the quantum relative entro
Externí odkaz:
http://arxiv.org/abs/2205.10341