Journal of University of Chinese Academy of Sciences >
Leggett inequality and nonlocal realism
Received date: 2009-05-20
Revised date: 2009-06-03
Online published: 2009-11-15
Through comparing the Leggett inequality with Bell inequalities, we investigate the nature of the nonlocal term in Leggett inequality and obtain various Leggett inequalities with different powers of the nonlocal term. We find that in different powers of δ the generalized Leggett inequalities correspond to different degrees of bipartite correlation, that is, the degree of correlation can be determined by the power of δ. The violation degrees of the generalized Leggett inequality and the Bell inequality are compared under the circumstance of quantum mechanics. The relations between violation of inequalities and nonlocal term are analyzed.
Key words: Leggett inequality; non-locality; quantum correlations
LI Jun-Li , QIAO Cong-Feng . Leggett inequality and nonlocal realism[J]. Journal of University of Chinese Academy of Sciences, 2009 , 26(6) : 745 -748 . DOI: 10.7523/j.issn.2095-6134.2009.6.003
[1] Einstein A, Podolsky B, Rosen N. Can quantum-mechanical description of physical reality be considered complete
[J]? Phys Rev, 1935, 47(10):777-780.
[2] John S Bell. On the einstein podolsky rosen paradox
[J]. Physics, 1965, 1: 195-200.
[3] Freedman S J, Clauser J F. Experimental test of local Hidden-Variable theories
[J]. Phys Rev Lett, 1972, 28:938-941.
[4] Shih Y H, Alley C O. New type of Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by optical parametric down conversion
[J]. Phys Rev Lett, 1988, 61: 2921-2924.
[5] Ou Z Y, Mandel L. Violation of Bells inequality and classical probability in a two-photon correlation experiment
[J]. Phys Rev Lett, 1988, 61:50-53.
[6] Nils A Trnqvist. Suggestion for einstein-podolsky-rosen experiments using reactions like e+e-→Λ →π-pπ+
[J]. Found Phys, 1981, 11: 171-177.
[7] Li J L, Qiao C F. New possibilities for testing local realism in high energy physics . arXiv:0812.0869, to appear in Physics Letter A.
[8] Li J L, Qiao C F. Testing local realism in P→VV decays . arXiv:0903.1246(submitted).
[9] Charles H Bennett, Gilles Brassard, Claude Crépeau, et al. Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
[J]. Phys Rev Lett, 1993, 70(13):1895-1899.
[10] Nielsen M A, Chuang I L. Quantum computation and quantum information
[M]. Cambridge:Cambridge University Press,2004.
[11] Leggett A J. Nonlocal Hidden-Variable theories and quantum mechanics:An incompatibility theorem
[J]. Fund Phys, 2003, 33(10):1469-1493.
[12] Grblacher S, Paterek T, Kaltenbaek R, et al. An experimental test of non-local realism
[J]. Nature, 2007, 446:871-875.
[13] Tomasz Paterek, Alessandro Fedrizzi, Simon Grblacher, et al. Experimental test of nonlocal realistic theories without the rotational symmetry assumption
[J]. Phys Rev Lett, 2007, 99: 210406.
[14] Cyril Branciard, Alexander Ling, Nicolas Gisin, et al. Experimental falsification of Leggetts nonlocal Variable model
[J]. Phys Rev Lett, 2007,99:210407.
[15] Stephen Parrott. Comments on An experimental test of non-local realism . arXiv:0707.3296.
[16] John F Clauser, Michael A Horne, Abner Shimony, et al. Proposed experiment to test local Hidden-Variable theories
[J]. Phys Rev Lett,1969,23:880-884.
/
| 〈 |
|
〉 |