Abstract
We construct an event-based computer simulation model of the Einstein-Podolsky-Rosen-Bohm experiments with photons. The algorithm is a one-to-one copy of the data gathering and analysis procedures used in real laboratory experiments. We consider two types of experiments, those with a source emitting photons with opposite but otherwise unpredictable polarization and those with a source emitting photons with fixed polarization. In the simulation, the choice of the direction of polarization measurement for each detection event is arbitrary. We use three different procedures to identify pairs of photons and compute the frequency of coincidences by analyzing experimental data and simulation data. The model strictly satisfies Einstein’s criteria of local causality, does not rely on any concept of quantum theory and reproduces the results of quantum theory for both types of experiments. We give a rigorous proof that the probabilistic description of the simulation model yields the quantum theoretical expressions for the single- and two-particle expectation values.
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Einstein, A., Podolsky, A., Rosen, N.: Phys. Rev. 47, 777 (1935)
Bohm, D.: Quantum Theory. Prentice Hall, New York (1951)
Freedman, S.J., Clauser, J.F.: Phys. Rev. Lett. 28, 938 (1972)
Aspect, A., Grangier, P., Roger, G.: Phys. Rev. Lett. 49, 91 (1982)
Aspect, A., Dalibard, J., Roger, G.: Phys. Rev. Lett. 49, 1804 (1982)
Tapster, P.R., Rarity, J.G., Owens, P.C.M.: Phys. Rev. Lett. 73, 1923 (1994)
Tittel, W., Brendel, J., Zbinden, H., Gisin, N.: Phys. Rev. Lett. 81, 3563 (1998)
Weihs, G., Jennewein, T., Simon, C., Weinfurther, H., Zeilinger, A.: Phys. Rev. Lett. 81, 5039 (1998)
Weihs, G.: Ph.D. thesis, University of Vienna (2000), http://www.quantum.univie.ac.at/publications/thesis/gwdiss.pdf
Rowe, M.A., Kielpinski, D., Meyer, V., Sackett, C.A., Itano, W.M., Monroe, C., Wineland, D.J.: Nature 401, 791 (2001)
Fatal, D., Diamanti, E., Inoue, K., Yamamoto, Y.: Phys. Rev. Lett. 92, 037904 (2004)
Sakai, H., Saito, T., Ikeda, T., Itoh, K., Kawabata, T., Kuboki, H., Maeda, Y., Matsui, N., Rangacharyulu, C., Sasano, M., et al.: Phys. Rev. Lett. 97, 150405 (2006)
Home, D.: Conceptual Foundations of Quantum Physics. Plenum, New York (1997)
Larsson, J.A., Gill, R.D.: Europhys. Lett. 67, 707 (2004)
De Raedt, K., Keimpema, K., De Raedt, H., Michielsen, K., Miyashita, S.: Eur. Phys. J. B 53, 139 (2006)
Bell, J.S.: Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press, Cambridge (1993)
Santos, E.: Stud. Hist. Philos. Mod. Phys. 36, 544 (2005)
Ẑukowksi, M.: Stud. Hist. Philos. Mod. Phys. 36, 566 (2005), arXiv:quant-ph/0605034
Gill, R.D.: In: Proc. of “Foundations of Probability and Physics. 2”. Ser. Math. Modelling in Phys., Engin., and Cogn. Sc., vol. 5, pp. 179–206. Växjö University Press, Växjö (2003), arXiv:quant-ph/0301059
De Raedt, H., De Raedt, K., Michielsen, K., Keimpema, K., Miyashita, S.: J. Phys. Soc. Jpn. 76, 104005 (2007)
De Raedt, K., De Raedt, H., Michielsen, K.: Comput. Phys. Commun. 176, 642 (2007)
De Raedt, H., De Raedt, K., Michielsen, K., Keimpema, K., Miyashita, S.: J. Comput. Theor. Nanosci. 4, 1 (2007)
Clauser, J.F., Horne, M.A.: Phys. Rev. D 10, 526 (1974)
Clauser, J.F., Horne, M.A., Shimony, A., Holt, R.A.: Phys. Rev. Lett. 23, 880 (1969)
http://www.quantum.at/research/photonentangle/bellexp/data.html. The results presented here have been obtained by assuming that the data sets *_V.DAT contain IEEE-8 byte (instead of 8-bit) double-precision numbers and that the least significant bit in *_C.DAT specifies the position of the switch instead of the detector that fired
Cirel’son, B.S.: Lett. Math. Phys. 4, 93 (1980)
Born, M., Wolf, E.: Principles of Optics. Pergamon, Oxford (1964)
Grimmet, G.R., Stirzaker, D.R.: Probability and Random Processes. Clarendon, Oxford (1995)
Jaynes, E.T.: Probability Theory: The Logic of Science. Cambridge University Press, Cambridge (2003)
Ballentine, L.E.: Quantum Mechanics: A Modern Development. World Scientific, Singapore (2003)
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Zhao, S., De Raedt, H. & Michielsen, K. Event-by-Event Simulation of Einstein-Podolsky-Rosen-Bohm Experiments. Found Phys 38, 322–347 (2008). https://doi.org/10.1007/s10701-008-9205-5
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DOI: https://doi.org/10.1007/s10701-008-9205-5