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A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
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Quantifying multipartite nonlocality.

Jean-Daniel Bancal1, Cyril Branciard, Nicolas Gisin

  • 1Group of Applied Physics, University of Geneva, 20 rue de l'Ecole-de-Médecine, CH-1211 Geneva 4, Switzerland.

Physical Review Letters
|October 2, 2009
PubMed
Summary
This summary is machine-generated.

Multipartite entangled states

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Area of Science:

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

Background:

  • Nonlocal correlations in quantum mechanics challenge classical intuition.
  • Multipartite entangled states exhibit complex correlations.
  • Classical models can sometimes reproduce quantum correlations under specific conditions.

Purpose of the Study:

  • To quantify the multipartite nonlocal content of entangled states.
  • To establish bounds on the number of parties or broadcasts needed for classical reproduction of quantum correlations.
  • To investigate the relationship between Mermin-Svetlichny inequality violations and nonlocal content.

Main Methods:

  • Utilizing Mermin-Svetlichny inequalities to analyze multipartite correlations.
  • Developing methods to compute upper bounds on the number of groups (m).
  • Developing methods to compute lower bounds on the number of broadcasting parties (k).

Main Results:

  • Upper bounds on m and lower bounds on k can be derived from Mermin-Svetlichny inequality violations.
  • n-partite Greenberger-Horne-Zeilinger (GHZ) states maximally violate these inequalities.
  • W states exhibit only minimal violations of the Mermin-Svetlichny inequalities.

Conclusions:

  • The Mermin-Svetlichny inequality provides a tool to quantify multipartite nonlocality.
  • GHZ states possess a high degree of multipartite nonlocality compared to W states.
  • The study offers insights into the classical distinguishability of quantum correlations.