2022
DOI: 10.1103/physreva.106.062420
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Characterization of nonsignaling bipartite correlations corresponding to quantum states

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Cited by 3 publications
(16 citation statements)
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“…Theorem 7 was foreshadowed for finite type I factors, and with a focus on classifying quantum from non-signalling correlations in [31]. Its close connection with entanglement classification is discussed in [53].…”
Section: Discussionmentioning
confidence: 99%
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“…Theorem 7 was foreshadowed for finite type I factors, and with a focus on classifying quantum from non-signalling correlations in [31]. Its close connection with entanglement classification is discussed in [53].…”
Section: Discussionmentioning
confidence: 99%
“…From this perspective, it seems unjustified to call theorem 4 a generalisation of Gleason's theorem (theorem 2) to composite systems. In contrast, in [31] we do obtain a classification of bipartite states for finite dimensional, simple algebras. Here, we will extract and extend the relevant arguments from [31] to von Neumann algebras, which will enable us to prove a substantially stronger composite Gleason theorem in theorem 7 below.…”
Section: Define a Mapmentioning
confidence: 95%
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“…3 Following notation in [44] and related work [27][28][29][30], we use * instead of † for the (Hermitian) adjoint.…”
Section: Jamiołkowski's Isomorphism and Theoremmentioning
confidence: 99%