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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Chained Clauser-Horne-Shimony-Holt inequality for Hardy's ladder test of nonlocality

arXiv
Authors: José L. Cereceda

Year

2015

Paper ID

27624

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

N/A

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 CHSH_K and the success probability P_K associated with Hardy's ladder test of nonlocality for two qubits and K+1 observables per qubit. Then, by invoking the Tsirelson bound for CHSH_K, the derived relationship allows us to establish an upper limit on P_K. In addition, we draw the connection between CHSH_K and the chained version of the Clauser-Horne (CH) inequality.

Why This Paper Matters

  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2015 reference point for readers tracking recent quantum research.
  • Relativistic causality forbids superluminal signaling between distant observers.

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