Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Maksim E. Shirokov"'
Autor:
Ludovico Lami, Maksim E. Shirokov
Publikováno v:
Annales Henri Poincaré.
The relative entropy of entanglement $E_R$ is defined as the distance of a multi-partite quantum state from the set of separable states as measured by the quantum relative entropy. We show that this optimisation is always achieved, i.e. any state adm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58ad96fcb881fcf614f50344e52178a6
https://doi.org/10.1007/s00023-023-01313-1
https://doi.org/10.1007/s00023-023-01313-1
Autor:
Maksim E. Shirokov
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 313:203-227
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 semicontinuity of the quantum conditional mutual information implies (in f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee0c22810e55e96ae3fe02a21812a7c2
https://doi.org/10.1134/s008154382102019x
https://doi.org/10.1134/s008154382102019x
Autor:
A. V. Bulinski, Maksim E. Shirokov
Publikováno v:
Lobachevskii Journal of Mathematics. 41:2383-2396
We describe the class (semigroup) of quantum channels mapping states with finite entropy into states with finite entropy. We show, in particular, that this class is naturally decomposed into three convex subclasses, two of them are closed under conca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a3420564df1e2631472c7a24186840c
https://doi.org/10.1134/s1995080220120392
https://doi.org/10.1134/s1995080220120392
Autor:
Maksim E. Shirokov
Publikováno v:
Sbornik: Mathematics. 211:1323-1353
We consider a family of equivalent norms (called operator -norms) on the algebra of all bounded operators on a separable Hilbert space induced by a positive densely defined operator on . By choosing different generating operators we can obtain the op
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7051c931c1aa0cc23314b70bcab03c5b
https://doi.org/10.1070/sm9336
https://doi.org/10.1070/sm9336
Autor:
Maksim E. Shirokov
Publikováno v:
Lobachevskii Journal of Mathematics. 41:714-727
We analyse possibility to extend a quantum operation (sub-unital normal completely positive linear map on the algebra $$\mathfrak{B}(\mathcal{H})$$ of bounded operators on a separable Hilbert space $$\mathcal{H}$$ ) to the space of all operators on $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d0e3d7f63539db761508a34b86db82c2
https://doi.org/10.1134/s199508022004023x
https://doi.org/10.1134/s199508022004023x
Autor:
Stephan Weis, Maksim E. Shirokov
Publikováno v:
Russian Mathematical Surveys. 76:190-192
We show that for any energy observable every extreme point of the set of quantum states with bounded energy is a pure state. This allows us to write every state with bounded energy in terms of a continuous convex combination of pure states of bounded
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc56a04840cdcd880f855a75f357cd61
https://doi.org/10.1070/rm9942
https://doi.org/10.1070/rm9942
Autor:
Maksim E. Shirokov
Publikováno v:
Problems of Information Transmission. 55:201-217
We present a family of easily computable upper bounds for the Holevo (information) quantity of an ensemble of quantum states depending on a reference state (as a free parameter). These upper bounds are obtained by combining probabilistic and metric c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::76455d2dd16246e6f3659ce83b9a4c5b
https://doi.org/10.1134/s0032946019030013
https://doi.org/10.1134/s0032946019030013
Autor:
Maksim E. Shirokov
Publikováno v:
Quantum Information Processing. 20
In [arXiv:1712.03219] the existence of a strongly (pointwise) converging sequence of quantum channels that can not be represented as a reduction of a sequence of unitary channels strongly converging to a unitary channel is shown. In this work we give
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b3b6a6e5abaeba850a56b6b4e4ffb1b
https://doi.org/10.1007/s11128-021-03087-z
https://doi.org/10.1007/s11128-021-03087-z
Autor:
Maksim E. Shirokov
We consider a class (convex set) of quantum states containing all finite rank states and infinite rank states with the sufficient rate of decreasing of eigenvalues (in particular, all Gaussian states). Quantum states from this class are characterized
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91275043753a2fe4efb7dd7a0a772cc6
Autor:
Maksim E. Shirokov
We consider universal methods for obtaining (uniform) continuity bounds for characteristics of multipartite quantum systems. We pay a special attention to infinite-dimensional multipartite quantum systems under the energy constraints. By these method
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a279b532483028bfdf1f26ff918dd772
http://arxiv.org/abs/2007.00417
http://arxiv.org/abs/2007.00417