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  • 1Instituto de Física, UASLP, San Luis Potosí, SLP, Mexico. jurias@ifisica.uaslp.mx.

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|May 10, 2018
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This study introduces a new measure for quantum nonlocality in entangled states, distinct from randomness. It quantifies nonlocality in Clauser-Horne-Shimony-Holt (CHSH) boxes, relating it to causal stochastic processes.

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Area of Science:

  • Quantum Information Science
  • Foundations of Quantum Mechanics
  • Quantum Correlations

Background:

  • Nonlocality is a key feature of multi-party quantum entangled states.
  • Quantum correlations can be interpreted via no-signaling stochastic processes.
  • Clauser-Horne-Shimony-Holt (CHSH) setups are standard for studying quantum correlations.

Purpose of the Study:

  • To propose and exhaustively resolve a quantity for measuring average nonlocality.
  • To distinguish quantum nonlocality from shared randomness.
  • To relate quantum correlations to no-signaling stochastic processes.

Main Methods:

  • Developed a novel quantity to measure average nonlocality.
  • Analyzed quantum correlations within a Clauser-Horne-Shimony-Holt (CHSH) setup.
  • Quantified nonlocality by proximity to Popescu-Rohrlich (PR) boxes within the no-signaling polytope.

Main Results:

  • Proposed an entanglement monotone for average nonlocality, related to concurrence.
  • Determined optimal setup vectors for maximally nonlocal CHSH boxes.
  • Identified the strongest nonlocality as a fraction of a PR box, achieved by maximally entangled qubit pairs.

Conclusions:

  • The study provides a method to quantify and understand nonlocality in quantum systems.
  • The findings offer insights into the operational interpretation of quantum correlations.
  • A computationally implemented simulator confirmed the theoretical quantum mechanical formulas.