Logical Difficulty from Combining Counterfactuals in the GHZ-Bell Theorems

Show more

References

[1] D. M. Greenberger, M. Horne and A. Zeilinger, “Going beyond Bell’s Theorem,” In: M. Kafatos, Ed., Bell’s Theorem, Quantum Theory and Conceptions of the Universe, Kluwer, Dordrecht, 2010, pp. 69-72.

[2] N. David Mermin, “Simple Unified Form for the Major No-Hidden-Variables Theorems,” Physical Review Letters, Vol. 65, No. 27, 1990, pp. 3373-3376.

http://dx.doi.org/10.1103/PhysRevLett.65.3373

[3] D. Home, “Conceptual Foundations of Quantum Physics,” Plenum Press, New York, 1997, p. 234.

http://dx.doi.org/10.1007/978-1-4757-9808-1

[4] A. Afriat and F. Selleri, “The Einstein, Podolsky, and Rosen Paradox,” Plenum Press, New York, 1999, p. 121.

http://dx.doi.org/10.1007/978-1-4899-0254-2

[5] D. M. Greenberger, “GHZ (Greenberger-Horne-Zeilinger) Theorem and GHZ States,” In: D. Greenberger, K. Hentschel and F. Weinert, Eds., Compendium of Quantum Physics, Springer, Dordrecht, Heidelberg, London, New York, 2009, pp. 258-263.

[6] L. Vaidman, “Counterfactuals in Quantum Mechanics,” In: D. Greenberger, K. Hentschel and F. Weinert, Eds., Compendium of Quantum Physics, Springer, Dordrecht, Heidelberg, London, New York, 2009, pp. 132-136.

http://dx.doi.org/10.1007/978-3-540-70626-7_40

[7] H. Goldstein, “Classical Mechanics,” Addison-Wesley, Reading, 1980, p. 148.

[8] R. B. Griffiths, “Consistent Histories,” In: D. Greenberger, K. Hentschel and F. Weinert, Eds., Compendium of Quantum Physics, Springer, Dordrecht, Heidelberg, London, New York, 2009, pp. 117-122.

[9] F. Mandl, “Quantum Mechanics,” John Wiley and Sons, Chichester, England, 1992, Chapter 5.

[10] L. Sica, “Bell’s Inequalities I: An Explanation for Their Experimental Violation,” Optics Communications, Vol. 170, No. 1-3, 1999, pp. 55-60.

http://dx.doi.org/10.1016/S0030-4018(99)00417-4

[11] L. Sica, “Bell’s Inequalities II: Logical Loophole in Their Interpretation,” Optics Communications, Vol. 170, No. 1-3, 1999, pp. 61-66.

http://dx.doi.org/10.1016/S0030-4018(99)00418-6

[12] L. Sica, “Correlations for a New Bell’s Inequality Experiment,” Foundations of Physics Letters, Vol. 15, No. 5, 2002, pp. 473-486.

http://dx.doi.org/10.1023/A:1023920230595

[13] L. Sica, “Bell’s Inequality Violation Due to Misidentification of Spatially Non-Stationary Random Processes,” Journal of Modern Optics, Vol. 50, No. 15-17, 2003, pp. 2465-2474.

[14] J. Malley, “All Quantum Observables in a Hidden-Variable Model Must Commute Simultaneously,” Physical Review A, Vol. 69, No. 2, 2004, pp. 022118-1-022118-3.

http://dx.doi.org/10.1103/PhysRevA.69.022118

[15] A. Papoulis and S. U. Pillai, “Probability, Random Variables, and Stochastic Processes,” McGraw-Hill, New York, 2002, p. 387.

[16] J. S. Bell, “Speakable and Unspeakable in Quantum Mechanics,” Cambridge University Press, Cambridge, 1987, p. 65.

[17] L. Sica, “Logical Difficulty from Combining Counterfactuals in the GHZ-Bell Theorems,” 2013.

http://meetings.aps.org/link/BAPS.2013.MAR.R26.10

[18] L. Sica, “Logical Difficulty from Combining Counterfactuals in the GHZ-Bell Theorems,” arxiv:quant-ph/1202. 0841.