Chained Clauser–Horne–Shimony–Holt inequality for Hardy’s ladder test of nonlocality

Chained Clauser–Horne–Shimony–Holt inequality for Hardy’s ladder test of nonlocality Relativistic causality forbids superluminal signaling between distant observers. By exploiting the non-signaling principle, we derive the exact relationship between the chained Clauser–Horne–Shimony–Holt sum of correlations $$\text {CHSH}_K$$ CHSH K and the success probability $$P_K$$ P K associated with Hardy’s ladder test of nonlocality for two qubits and $$K+1$$ K + 1 observables per qubit. Then, by invoking the Tsirelson bound for $$\text {CHSH}_K$$ CHSH K , the derived relationship allows us to establish an upper limit on $$P_K$$ P K . In addition, we draw the connection between $$\text {CHSH}_K$$ CHSH K and the chained version of the Clauser–Horne (CH) inequality. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Chained Clauser–Horne–Shimony–Holt inequality for Hardy’s ladder test of nonlocality

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Publisher
Springer US
Copyright
Copyright © 2015 by Springer Science+Business Media New York
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/s11128-015-1217-4
Publisher site
See Article on Publisher Site

Abstract

Relativistic causality forbids superluminal signaling between distant observers. By exploiting the non-signaling principle, we derive the exact relationship between the chained Clauser–Horne–Shimony–Holt sum of correlations $$\text {CHSH}_K$$ CHSH K and the success probability $$P_K$$ P K associated with Hardy’s ladder test of nonlocality for two qubits and $$K+1$$ K + 1 observables per qubit. Then, by invoking the Tsirelson bound for $$\text {CHSH}_K$$ CHSH K , the derived relationship allows us to establish an upper limit on $$P_K$$ P K . In addition, we draw the connection between $$\text {CHSH}_K$$ CHSH K and the chained version of the Clauser–Horne (CH) inequality.

Journal

Quantum Information ProcessingSpringer Journals

Published: Dec 23, 2015

References

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