8 citations · 25 across the 8 of their papers we have counts for
9 papers
Unified approach to geometric and positive-map-based non-linear entanglement identifiers
Marcin Markiewicz, Adrian Kolodziejski, Zbigniew Puchala +3
Detecting quantumness of correlations (especially entanglement) is a very hard task even in the simplest case i.e. two-partite quantum systems. Here we provide an analysis whether…
Bell measurement rules out supraquantum correlations
Łukasz Czekaj, Michał Horodecki, Tomasz Tylec
The so called bipartite non-signaling boxes are systems whose statistics is constrained solely by the principle of no instantaneous signaling between distant locations. Such system…
Equivalence of tensor products over a category of W*-algebras
Ryszard Paweł Kostecki, Tomasz Ignacy Tylec
We prove the equivalence of two tensor products over a category of W*-algebras with normal (not necessarily unital) *-homomorphisms, defined by Guichardet and Dauns, respectively.…
Ignorance is a bliss: mathematical structure of many-box models
Tomasz I. Tylec, Marek Kuś
We show that the propositional system of a many-box model is always a set-representable effect algebra. In particular cases of 2-box and 1-box models it is an orthomodular poset an…
Remarks on the tensor product structure of no-signaling theories
Tomasz I. Tylec, Marek Kuś
In the quantum logic framework we show that the no-signaling box model is a particular type of tensor product of the logics of single boxes. Such notion of tensor product is too st…
Non-signalling theories and generalized probability
Tomasz I. Tylec, Marek Kuś, Jacek Krajczok
We provide mathematicaly rigorous justification of using term "probability" in connection to the so called non-signalling theories,known also as Popescu's and Rohrlich's box worlds…