Version 1
: Received: 6 July 2023 / Approved: 6 July 2023 / Online: 6 July 2023 (11:46:32 CEST)
How to cite:
Orsini, D.F.; Oliveira, L.R.N.; Luz, M.G.E. Correlations in the EPR States Observables. Preprints2023, 2023070427. https://doi.org/10.20944/preprints202307.0427.v1
Orsini, D.F.; Oliveira, L.R.N.; Luz, M.G.E. Correlations in the EPR States Observables. Preprints 2023, 2023070427. https://doi.org/10.20944/preprints202307.0427.v1
Orsini, D.F.; Oliveira, L.R.N.; Luz, M.G.E. Correlations in the EPR States Observables. Preprints2023, 2023070427. https://doi.org/10.20944/preprints202307.0427.v1
APA Style
Orsini, D.F., Oliveira, L.R.N., & Luz, M.G.E. (2023). Correlations in the EPR States Observables. Preprints. https://doi.org/10.20944/preprints202307.0427.v1
Chicago/Turabian Style
Orsini, D.F., Luna R. N. Oliveira and Marcos G. E. Luz. 2023 "Correlations in the EPR States Observables" Preprints. https://doi.org/10.20944/preprints202307.0427.v1
Abstract
The identification and physical interpretation of quantum correlations, more recently explored beyond entanglement, is not always a simple task. Two assumptions that, at least in principle, should lead to a relatively large dispersion for the observables of a quantum bipartite formed by systems I and II are to assume that; (a) all the possible observables describing the composite are potentially equally probable as outcomes of measurements; and (b) there cannot be concurrence (positive reinforcement) between any of the observables within a given system, meaning all their corresponding operators do not commute. The so-called EPR states are known to observe (a). Here we demonstrate in general terms that they also verify (b). As examples, we discuss three-level systems. Given the character of (a) and (b), one may expect the CHSH correlation for qubits to naturally violate its associated Bell’s inequality (i.e., it would yield values greater than 2) when applied to EPR states. Surprisingly, we show the CHSH contradicts such prediction. This finding emphasizes the subtleties of correlations in quantum mechanics, where the conceivable dispersive interdependence of EPR states observables results counterintuitively in a more limited range of values for the CHSH correlation, not surpassing the nonlocality threshold of 2.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
