Quantum contextuality for a relativistic spin-1/2 particle

Jing-Ling Chen, Hong-Yi Su, Chunfeng Wu, Dong-Ling Deng, Adán Cabello, L. C. Kwek, and C. H. Oh
Phys. Rev. A 87, 022109 – Published 13 February 2013

Abstract

The quantum predictions for a single nonrelativistic spin-1/2 particle can be reproduced by noncontextual hidden variables. Here we show that quantum contextuality for a relativistic electron moving in a Coulomb potential naturally emerges if relativistic effects are taken into account. The contextuality can be identified through the violation of noncontextuality inequalities. We also discuss quantum contextuality for the free Dirac electron as well as the relativistic Dirac oscillator.

  • Received 27 January 2012

DOI:https://doi.org/10.1103/PhysRevA.87.022109

©2013 American Physical Society

Authors & Affiliations

Jing-Ling Chen1,2,*, Hong-Yi Su1,2, Chunfeng Wu2, Dong-Ling Deng3, Adán Cabello4,5,†, L. C. Kwek2,6,‡, and C. H. Oh2,7,§

  • 1Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China
  • 2Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543
  • 3Department of Physics and MCTP, University of Michigan, Ann Arbor, Michigan 48109, USA
  • 4Departamento de Física Aplicada II, Universidad de Sevilla, E-41012 Sevilla, Spain
  • 5Department of Physics, Stockholm University, S-10691 Stockholm, Sweden
  • 6National Institute of Education and Institute of Advanced Studies, Nanyang Technological University, 1 Nanyang Walk, Singapore 637616
  • 7Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542

  • *chenjl@nankai.edu.cn
  • adan@us.es
  • kwekleongchuan@nus.edu.sg
  • §phyohch@nus.edu.sg

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Issue

Vol. 87, Iss. 2 — February 2013

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