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Bell Correlations without Entanglement: A Local Wave Model Using Gaussian-Poisson Statistics and Single Count-Pair Selection
Institute for Quantum Studies, Chapman University, Orange, CA & Burtonsville, MD, USA
Inspire Institute Inc., Alexandria, VA, USA
- 1 Institute for Quantum Studies, Chapman University, Orange, CA & Burtonsville, MD, USA
- 2 Inspire Institute Inc., Alexandria, VA, USA
Applied Mathematics·Volume 05 (2014)·Pages 2899–2907·Published 30 October 2014·DOI10.4236/am.2014.518276
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Abstract
Based on the violation of Bell inequalities, it has been believed that the derivation of Bell correlations requires a quantum description that depends on entanglement. However, the present paper computes Bell correlations among polarization analyzer output intensities from two spatially separated sets of superposed random wave pairs. To obtain proper Bell correlations, the general statistics must be modified to represent single event pair selection. The correlations between analyzer output components are then in one-to-one correspondence with those computed from the entanglement formalism.
KeywordsBell CorrelationBell TheoremLocalityNonlocalityEntanglement
- Sica, L. (2013) Logical Difficulty from Combining Counterfactuals in the GHZ-Bell Theorems. Applied Mathematics, 4, 90-94, http://dx.doi.org/10.4236/am.2013.410A3012
- Loudon, R. (2000) The Quantum Theory of Light. 3rd Editon, Oxford University Press, New York, 276.
- Kwiat, P.G., Mattle, K., Weinfurter, H., Zeilinger, A., Sergienko, A.V. and Shih, Y. (1995) New High-Intensity Source of Polarization-Entangled Photon Pairs. Physical Review Letters, 75, 4337-4342. http://dx.doi.org/10.1103/PhysRevLett.75.4337
- Goodman, J.W. (2005) Introduction to Fourier Optics. 3rd Edition, Roberts & Company Publishers, Greenwoood Village, Co., 38.
- Smith, R.G. (1970) Effects of Momentum Mismatch on Parametric Gain. Journal of Applied Physics, 41, 4121-4124. http://dx.doi.org/10.1063/1.1658422
- Waks, E., Sanders, B.C., Diamanti, E. and Yamamoto, Y. (2006) Highly Nonclassical Photon Statistics in Parametric Down Conversion. Physical Review A, 73, Article ID: 033814.
- Goodman, J.W. (1984) Statistical Properties of Laser Speckle Patternsin Laser Speckle and Related Phenomena. In: Dainty, J.C., Ed., Topics in Applied Physics, 2nd Edition, Springer-Verlag, Berlin, 9-75.
- Lugiato, L.A., Gatti, A. and Brambilla, E. (2002) Quantum Imaging. Journal of Optics B Quantum and Semiclassical Optics, 4, 176.
- Sica, L. (2011) Local Probability Model for the Bell Correlation based on the Statistics of Chaotic Light and Non-Commutative Processes. (Unpublished). http://arxiv.org/pdf/1106.1453v1.pdf .