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A Noncommutative Locally Causal Model for the EPR Scenario

  • Gábor Hofer-SzabóEmail author
  • Péter Vecsernyés
Chapter
Part of the SpringerBriefs in Philosophy book series (BRIEFSPHILOSOPH)

Abstract

In this Chapter we explicitly construct a locally causal LQT for the EPR scenario. The model is the 1+1 dimensional local quantum Ising model (Müller and Vecsernyés). We show that the model is not only locally causal in Bell’s sense but also able to implement four pairs of events correlating in the singlet state.

Keywords

Discretized Minkowski spacetime Quantum Ising model Singlet state 

References

  1. G. Hofer-Szabó, P. Vecsernyés, Noncommuting local common causes for correlations violating the Clauser-Horne inequality. J. Math. Phys. 53, 12230 (2012b)Google Scholar
  2. V.F. Müller, P. Vecsernyés, The phase structure of G-spin models, to be published Google Scholar
  3. F. Nill, K. Szlachányi, Quantum chains of Hopf algebras with quantum double cosymmetry. Commun. Math. Phys. 187, 159–200 (1997)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  4. K. Szlachányi, P. Vecsernyés, Quantum symmetry and braid group statistics in \(G\)-spin models. Commun. Math. Phys. 156, 127–168 (1993)ADSMathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Institute of PhilosophyResearch Centre for the HumanitiesBudapestHungary
  2. 2.Theoretical PhysicsWigner Research Centre for PhysicsBudapestHungary

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