PL-21-QU-0011

Separation of quantum, spatial quantum, and approximate quantum correlations

Salman Beigi

Abstract

Quantum nonlocal correlations are generated by implementation of local quantum measurements on spatially separated quantum subsystems. Depending on the underlying mathematical model, various notions of sets of quantum correlations can be defined. In this paper we prove separations of such sets of quantum correlations. In particular, we show that the set of bipartite quantum correlations with four binary measurements per party becomes strictly smaller once we restrict the local Hilbert spaces to be finite dimensional, i.e., C(4,4,2,2)q≠C(4,4,2,2)qs. We also prove non-closure of the set of bipartite quantum correlations with four ternary measurements per party, i.e., C(4,4,3,3)qs≠C(4,4,3,3)qa.

Meta Data

Doc IDPL-21-QU-0011
TypePaper
TitleSeparation of quantum, spatial quantum, and approximate quantum correlations
AuthorsSalman Beigi
Year2020
Published2021-01-28, Quantum Journal
EprintarXiv:2004.11103v2
DoIhttps://doi.org/10.22331/q-2021-01-28-389
CitationBeigi, Salman. 2021. “Separation of Quantum, Spatial Quantum, and Approximate Quantum Correlations.” Quantum 5 (January): 389. https://doi.org/10.22331/q-2021-01-28-389.
LicenseCreative Commons Attribution 4.0 International (CC BY 4.0)