Abstract
The biphoton experiment demonstrating Bell’s inequality violation is discussed from the standpoint of constructive quantum mechanics. It is shown that the no-go theorems on hidden-variable theories follow from the fact that the problem of applicability of an arbitrary algorithm to an arbitrary number cannot be solved effectively.
References
Bell, J.S., On the Einstein Poldolsky Rosen Paradox, Physics, 1964, vol. 1, pp. 195–200.
Feynman, R.P. and Hibbs, A.R., Quantum Mechanics and Path Integrals, New York: McGraw-Hill, 1965.
Genovese, M., Research on Hidden Variable Theories: A Review of Recent Progress, Phys. Rep., 2005, vol. 413, pp. 319–396.
Khrennikov, A.Yu., Kvantovaya teoriya informatsii (Quantum Information Theory), Moscow: Fizmatlit, 2009.
Ozhigov, Y., Constructive Physics. Available online at http://xxx.lanl.gov/abs/0805.2859.
Ozhigov, Y.I., Constructive Approach to Quantum Computer, Quantum Comput. Comput., 2008, vol. 8, no. 1, pp. 133–140.
Ozhigov, Y.I., Genetic Simulation of Quantum Dynamics, Quantum Comput. Comput., 2007, vol. 7, no. 1, pp. 27–47.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © Y.I. Ozhigov, 2009, published in Mikroelektronika, 2009, Vol. 38, No. 6, pp. 452–463.
Rights and permissions
About this article
Cite this article
Ozhigov, Y.I. Constructivist treatment of Bell’s inequality violations and the no-hidden-variable theorems. Russ Microelectron 38, 409–417 (2009). https://doi.org/10.1134/S1063739709060067
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063739709060067