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| related topics |
| {field, particle, equation} |
| {bell, inequality, local} |
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Relativistic Einstein-Podolsky-Rosen correlation and Bell's inequality
Hiroaki Terashima, Masahito Ueda
abstract: We formulate the Einstein-Podolsky-Rosen (EPR) gedankenexperiment within the
framework of relativistic quantum theory to analyze a situation in which
measurements are performed by moving observers. We point out that under certain
conditions the perfect anti-correlation of an EPR pair of spins in the same
direction is deteriorated in the moving observers' frame due to the Wigner
rotation, and show that the degree of the violation of Bell's inequality prima
facie decreases with increasing the velocity of the observers if the directions
of the measurement are fixed. However, this does not imply a breakdown of
non-local correlation since the perfect anti-correlation is maintained in
appropriately chosen different directions. We must take account of this
relativistic effect in utilizing in moving frames the EPR correlation and the
violation of Bell's inequality for quantum communication.
- oai_identifier:
- oai:arXiv.org:quant-ph/0211177
- categories:
- quant-ph
- comments:
- 33 pages, 6 figures
- doi:
- 10.1142/S0219749903000061
- arxiv_id:
- quant-ph/0211177
- journal_ref:
- Int.J.Quantum Inform. 1 (2003) 93-114
- created:
- 2002-11-27
Full article ▸
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