Strengthening the Bell Theorem: conditions to falsify local realism in\n an experiment

1999/10/14 by Marek Żukowski, Dagomir Kaszlikowski, Zukowski, Marek +5 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Spectroscopy and Quantum Chemical Studies

paper · pdf · doi:10.48550/arxiv.quant-ph/9910058

openalex publication_date 1999/10/14 · openalex created_date 2022/09/02 · openalex updated_date 2026/07/28

Abstract

The two-particle correlation obtained from the quantum state used in the Bell\ninequality is sinusoidal, but the standard Bell inequality only uses two pairs\nof settings and not the whole sinusoidal curve. The highest to-date visibility\nof an explicit model reproducing sinusoidal fringes is 2/pi. We conjecture from\na numerical approach presented in this paper that the highest possible\nvisibility for a local hidden variable model reproducing the sinusoidal\ncharacter of the quantum prediction for the two-particle Bell-type interference\nphenomena is 1/sqrt2. In addition, the approach can be applied directly to\nexperimental data.\n

Cited by

• A linear program for testing local realism

Related

• A remark on the use of Bell inequalities
• Local, deterministic hidden variable theories based on a loophole in Bell's theorem
• Bell inequalities for two-photon experiments testable at low detection efficiency without assuming fair sampling
• The Effect of `Probability Skew' in Bell-test Experiments
• Non-Boolean Hidden Variables model reproduces Quantum Mechanics' predictions for Bell's experiment