Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Łukasz Skowronek"'
Publikováno v:
Studies in Computational Intelligence ISBN: 9783031266508
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c098471fae5bfb1aa9efcd7740a8589
https://doi.org/10.1007/978-3-031-26651-5_9
https://doi.org/10.1007/978-3-031-26651-5_9
Publikováno v:
Schedae Informaticae. 27:19-30
We investigate performance of a gradient descent optimization (GR) applied to the traffic signal setting problem and compare it to genetic algorithms. We used neural networks as metamodels evaluating quality of signal settings and discovered that bot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6ce785cfdf91ffd5be5be238e86f614
https://doi.org/10.4467/20838476si.18.002.10407
https://doi.org/10.4467/20838476si.18.002.10407
Publikováno v:
Linear Algebra and its Applications. 438:3062-3075
We answer in the affirmative a recently-posed question that asked if there exists an "untypical" convex mapping cone -- i.e., one that does not arise from the transpose map and the cones of k-positive and k-superpositive maps. We explicitly construct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67751cf8c20347b4ff49250ba75596ea
https://doi.org/10.1016/j.laa.2012.12.007
https://doi.org/10.1016/j.laa.2012.12.007
There is no direct generalization of positive partial transpose criterion to the three-by-three case
Autor:
Łukasz Skowronek
We show that there cannot exist a straightforward generalization of the famous positive partial transpose criterion to three-by-three systems. We call straightforward generalizations that use a finite set of positive maps and arbitrary local rotation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb5331d00c7adac328062f199a5de2e2
http://arxiv.org/abs/1605.05254
http://arxiv.org/abs/1605.05254
Autor:
Łukasz Skowronek
Publikováno v:
Linear Algebra and its Applications. 435:361-370
In the finite-dimensional case, we present a new approach to the theory of cones with a mapping cone symmetry, first introduced by St{\o}rmer. Our method is based on a definition of an inner product in the space of linear maps between two algebras of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b717f12fc43c1cf6fb541776c9ac417f
https://doi.org/10.1016/j.laa.2011.01.019
https://doi.org/10.1016/j.laa.2011.01.019
Autor:
Karol Życzkowski, Piotr Gawron, Man-Duen Choi, Zbigniew Puchała, Łukasz Skowronek, Jarosław Adam Miszczak
Publikováno v:
Linear Algebra and its Applications. 434:327-342
We study operators acting on a tensor product Hilbert space and investigate their product numerical range, product numerical radius and separable numerical range. Concrete bounds for the product numerical range for Hermitian operators are derived. Pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f36690c04e47b87aa48ce56b9ae4e527
https://doi.org/10.1016/j.laa.2010.08.026
https://doi.org/10.1016/j.laa.2010.08.026
Autor:
Łukasz Skowronek
Publikováno v:
International Journal of Quantum Information. :721-754
We present a survey on mathematical topics relating to separable states and entanglement witnesses. The convex cone duality between separable states and entanglement witnesses is discussed and later generalized to other families of operators, leading
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc5b07439d087c7f43eefa1f1406e404
https://doi.org/10.1142/s0219749910006538
https://doi.org/10.1142/s0219749910006538
Autor:
Łukasz Skowronek, Karol Życzkowski
We link the study of positive quantum maps, block positive operators, and entanglement witnesses with problems related to multivariate polynomials. For instance, we show how indecomposable block positive operators relate to biquadratic forms that are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b452d82a62b80d97c3579195ffb6093a
The structure of cones of positive and k-positive maps acting on a finite-dimensional Hilbert space is investigated. Special emphasis is given to their duality relations to the sets of superpositive and k-superpositive maps. We characterize k-positiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce90a1654b3d70f3cb57c3d3f2f2e08c
Autor:
Łukasz Skowronek
Publikováno v:
Journal of Mathematical Physics. 52:122202
We discuss the subject of Unextendible Product Bases with the orthogonality condition dropped and we prove that the lowest rank non-separable positive-partial-transpose states, i.e. states of rank 4 in 3 x 3 systems are always locally equivalent to a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba3ab525fa10c4c7ee93d0345294917d
https://doi.org/10.1063/1.3663836
https://doi.org/10.1063/1.3663836