Entanglement and quantum nonlocality demystified

Quantum nonlocality is presented often as the most remarkable and inexplicable phenomenon known to modern science. It has been known already for a long time that the probabilistic models used to prove Bell and Clauser-Horn-Shimony-Holt inequalities (BI-CHSH) for spin polarization correlation experiments (SPCE) are incompatible with the experimental protocols of SPCE. In particular these models use the same common probability space, joint probability distributions and/or conditional independence to describe coincidence experiments in incompatible experimental settings. Strangely enough these results are not known or simply neglected. This is why we will once again reanalyze Bell locality assumptions and show that they have nothing to do with the notion of Einsteinian locality therefore their violation should not be called quantum nonlocality but rather quantum non-Kolmogorovness or quantum contextuality. Moreover if local variables describing the measuring instruments are correctly taken into account then ...

[1]  C. Ross Found , 1869, The Dental register.

[2]  L. M. M.-T. Theory of Probability , 1929, Nature.

[3]  M. Born,et al.  Statistical Interpretation of Quantum Mechanics. , 1955, Science.

[4]  A. T. Bharucha-Reid,et al.  The Theory of Probability. , 1963 .

[5]  J. Bell On the Einstein-Podolsky-Rosen paradox , 1964 .

[6]  J. Bell On the Problem of Hidden Variables in Quantum Mechanics , 1966 .

[7]  Leslie E Ballentine,et al.  The statistical interpretation of quantum mechanics , 1970 .

[8]  A. Shimony,et al.  Bell's theorem. Experimental tests and implications , 1978 .

[9]  L. Accardi Topics in quantum probability , 1981 .

[10]  I. Pitowsky Resolution of the Einstein-Podolsky-Rosen and Bell Paradoxes , 1982 .

[11]  Itamar Pitowsky,et al.  Deterministic model of spin and statistics , 1983 .

[12]  W. De Baere On conditional bell inequalities and quantum mechanics , 1984 .

[13]  W. De Baere On the significance of Bell's inequality for hidden-variable theories , 1984 .

[14]  Dirk Aerts,et al.  A possible explanation for the probabilities of quantum mechanics , 1986 .

[15]  M. Kupczyński,et al.  On some new tests of completeness of quantum mechanics , 1986 .

[16]  M. Kupczyński,et al.  Pitovsky model and complementarity , 1987 .

[17]  M. Kupczyński,et al.  Bertrand's paradox and Bell's inequalities , 1987 .

[18]  J. Bell,et al.  Speakable and Unspeakable in Quatum Mechanics , 1988 .

[19]  Daniel M. Greenberger,et al.  The Shaky Game: Einstein, Realism and the Quantum Theory , 1988 .

[20]  E. T. Jaynes,et al.  Clearing up Mysteries — The Original Goal , 1989 .

[21]  A. Zeilinger,et al.  Speakable and Unspeakable in Quantum Mechanics , 1989 .

[22]  A. Shimony,et al.  Bell’s theorem without inequalities , 1990 .

[23]  R. I. G. Hughes,et al.  The Shaky Game: Einstein, Realism, and the Quantum Theory. , 1991 .

[24]  N. Mermin Hidden variables and the two theorems of John Bell , 1993, 1802.10119.

[25]  H. Stapp Comments on “Interpretations of quantum mechanics, joint measurement of incompatible observables, and counterfactual definiteness” , 1994 .

[26]  I. Pitowsky,et al.  George Boole's ‘Conditions of Possible Experience’ and the Quantum Puzzle , 1994, The British Journal for the Philosophy of Science.

[27]  W. M. de Muynck,et al.  Interpretations of quantum mechanics, joint measurement of incompatible observables, and counterfactual definiteness , 1994 .

[28]  L. Ballentine Quantum mechanics : a modern development , 1998 .

[29]  Andrei Khrennikov,et al.  Interpretations of Probability , 1999 .

[30]  Luigi Accardi,et al.  Locality and Bell's inequality , 2000, quant-ph/0007005.

[31]  Marian Kupczynski On the Completeness of Quantum Mechanics , 2002 .

[32]  M. Kupczynski,et al.  Entanglement and Bell Inequalities , 2004 .

[33]  Karl Hess,et al.  Bell’s theorem: Critique of proofs with and without inequalities , 2005 .

[34]  Luigi Accardi,et al.  Some loopholes to save quantum nonlocality , 2005 .

[35]  J. Bertrand Calcul Des Probabilites , 2005 .

[36]  Marian Kupczynski Seventy Years of the EPR Paradox , 2006 .

[37]  Andrei Khrennikov Bell's Inequality: Nonlocalty, “Death of Reality”, or Incompatibility of Random Variables? , 2007 .

[38]  Marian Kupczynski,et al.  EPR Paradox, Locality and Completeness of Quantum Theory , 2007, 0710.3510.

[39]  Luigi Accardi,et al.  Universality of the EPR-chameleon model , 2007 .

[40]  A. Matzkin Local hidden-variables can account for EPR quantum correlations , 2007 .

[41]  T. Nieuwenhuizen,et al.  Where Bell went wrong , 2008, 0812.3058.

[42]  Michel Feldmann Classical counterexample to Bell's theorem , 2008, 0812.4506.

[43]  Andrei Khrennikov,et al.  Violation of Bell’s Inequality and non‐Kolmogorovness , 2009 .

[44]  Karl Hess,et al.  Extended Boole-Bell inequalities applicable to quantum theory , 2009, 0901.2546.

[45]  Nicolas Gisin,et al.  Quantum Nonlocality: How Does Nature Do It? , 2009, Science.

[46]  Andrei Khrennikov,et al.  Ubiquitous Quantum Structure , 2010 .

[47]  F. Jin,et al.  Event-Based Corpuscular Model for Quantum Optics Experiments , 2010, 1006.1728.

[48]  T. Nieuwenhuizen,et al.  Is the Contextuality Loophole Fatal for the Derivation of Bell Inequalities? , 2011 .

[49]  N. Gisin,et al.  How much measurement independence is needed to demonstrate nonlocality? , 2010, Physical review letters.

[50]  Nicolas Gisin,et al.  Non-realism: Deep Thought or a Soft Option? , 2009, 0901.4255.

[51]  Marian Kupczynski Operational approach to the entanglement , 2012 .

[52]  Kristel Michielsen,et al.  Event‐by‐event simulation of quantum phenomena , 2012, 1208.2365.