# An additional condition for Bell experiments for accepting local realistic theories

An additional condition for Bell experiments for accepting local realistic theories We assume that one source of two uncorrelated spin-carrying particles emits them in a state, which can be described as a spin-1/2 bipartite pure uncorrelated state. We consider a Bell–Clauser–Horne–Shimony–Holt (Bell–CHSH) experiment with two-orthogonal-settings. We propose an additional condition for the state to be reproducible by the property of local realistic theories. We use the proposed measurement theory in order to construct the additional condition (Nagata and Nakamura in Int J Theor Phys 49:162, 2010). The condition is that local measurement outcome is $$\pm 1/\sqrt{2}$$ ± 1 / 2 . Otherwise, such an experiment does not allow for the existence of local realistic theories even in the situation that all Bell–CHSH inequalities hold. Also we derive new set of Bell inequalities when local measurement outcome is $$\pm 1/\sqrt{2}$$ ± 1 / 2 . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# An additional condition for Bell experiments for accepting local realistic theories

, Volume 12 (12) – Sep 12, 2013
5 pages

Publisher
Springer US
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-013-0635-4
Publisher site
See Article on Publisher Site

### Abstract

We assume that one source of two uncorrelated spin-carrying particles emits them in a state, which can be described as a spin-1/2 bipartite pure uncorrelated state. We consider a Bell–Clauser–Horne–Shimony–Holt (Bell–CHSH) experiment with two-orthogonal-settings. We propose an additional condition for the state to be reproducible by the property of local realistic theories. We use the proposed measurement theory in order to construct the additional condition (Nagata and Nakamura in Int J Theor Phys 49:162, 2010). The condition is that local measurement outcome is $$\pm 1/\sqrt{2}$$ ± 1 / 2 . Otherwise, such an experiment does not allow for the existence of local realistic theories even in the situation that all Bell–CHSH inequalities hold. Also we derive new set of Bell inequalities when local measurement outcome is $$\pm 1/\sqrt{2}$$ ± 1 / 2 .

### Journal

Quantum Information ProcessingSpringer Journals

Published: Sep 12, 2013

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