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Updated: May 16, 2026

Spatial Separation of Molecular Conformers and Clusters
10:37

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Published on: January 9, 2014

Quantum steering and spacelike separation.

Miguel Navascués1, David Pérez-García

  • 1School of Physics, University of Bristol, Bristol BS8 1TL, United Kingdom.

Physical Review Letters
|December 11, 2012
PubMed
Summary

Tsirelson's problem, concerning quantum correlations, is false in steering scenarios. Different definitions of spacelike separation lead to distinct bipartite correlations, impacting quantum nonlocality and steering inequalities.

Area of Science:

  • Quantum Information Theory
  • Quantum Foundations
  • Quantum Nonlocality

Background:

  • Nonrelativistic quantum mechanics models observer separation using tensor products.
  • Algebraic quantum field theory uses commuting local observables for spacelike separated parties.
  • Tsirelson's problem investigates if these separation definitions yield identical bipartite correlations.

Purpose of the Study:

  • To examine the validity of Tsirelson's problem in quantum steering scenarios.
  • To determine if operator-level spacelike separation definitions affect steering inequalities.

Main Methods:

  • Analysis of bipartite correlations within quantum steering frameworks.
  • Comparison of correlation sets derived from tensor product and commuting observable definitions of separation.

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Main Results:

  • The analog of Tsirelson's problem is demonstrated to be false in steering scenarios.
  • A specific steering inequality is identified that exhibits violation dependent on the chosen operator-level separation definition.

Conclusions:

  • The definition of spacelike separation at the operator level significantly impacts bipartite correlations in quantum steering.
  • This finding highlights a crucial distinction between different formalisms of quantum theory regarding nonlocality and entanglement.