DOI: 10.14704/nq.2013.11.4.691

Probability Constraints on the Classical/Quantum Divide

Subhash Kak

Abstract


This paper considers the problem of distinguishing between classical and quantum domains in macroscopic phenomena using tests based on probability and it presents a condition on the ratios of the outcomes being the same (Ps) to being different (Pn). Given three events, Ps/Pn for the classical case where there are no 3-way coincidences is one-half whereas for the maximally entangled quantum state it is one-third. For non-maximally entangled objects kak.png we find that so long as r < 5.83, we can separate them from classical objects using a probability test. For maximally entangled particles (r = 1), we propose that the value of 5/12 be used for Ps/Pn to separate classical and quantum states when no other information is available and measurements are noisy.

NeuroQuantology | December 2013 | Volume 11 | Issue 4 | Page 600-606

Keywords


information; Bell inequality; quantum theory; entanglement; probability constraints

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Supporting Agencies

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.



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