On the Measure of Quantum Correlations

Authors

  • Wladyslaw Adam Majewski UNIT for BMI, Internal Box 209, School of Mathematics & Statistics Sciences, North-West University, Private Bag X6001, 2520 Potchefstroom, South Africa https://orcid.org/0000-0001-6633-3404

DOI:

https://doi.org/10.26713/cma.v14i1.1829

Keywords:

Quantum correlations, C*-algebra, Decomposition theory

Abstract

In this paper, we present novel qualities of the measure of noncommutative (so quantum) correlations for general quantum systems. In other words, the fundamental difference between classical and non-commutative probability will be studied. In particular, we introduce the notion of coefficient of quantum correlations \(d(\omega, A)\). The main theorem says that there are quantum correlations if and only if \(d(\omega, A) > 0\). Our presentation is done within \(C^*\)-algebraic description of Quantum Theory.

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References

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Published

09-05-2023
CITATION

How to Cite

Majewski, W. A. (2023). On the Measure of Quantum Correlations. Communications in Mathematics and Applications, 14(1), 227–235. https://doi.org/10.26713/cma.v14i1.1829

Issue

Vol. 14 No. 1 (2023)

Section

Research Article

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