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Quantum nonlocality in two three-level systems

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Acín, A., Durt, T., Gisin, N., Latorre, J. I.·2002·Physical Review A

Abstract

Recently a new Bell inequality has been introduced by Collins et al. [Phys. Rev. Lett. 88, 040404 (2002)], which is strongly resistant to noise for maximally entangled states of two d-dimensional quantum systems. We prove that a larger violation, or equivalently a stronger resistance to noise, is found for a nonmaximally entangled state. It is shown that the resistance to noise is not a good measure of nonlocality and we introduce some other possible measures. The nonmaximally entangled state turns out to be more robust also for these alternative measures. From these results it follows that two von Neumann measurements per party may be not optimal for detecting nonlocality. For $d=3,4,$ we point out some connections between this inequality and distillability. Indeed, we demonstrate that any state violating it, with the optimal von Neumann settings, is distillable.

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Metadata

Authors
Acín, A., Durt, T., Gisin, N., & Latorre, J. I.
Venue
Physical Review A
Published
2002-05-08
Volume
65
Issue
5
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
OpenAlex
W2030098988
Cited by
324
References
7
FWCI
8.06
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Quantum nonlocality in two three-level systems. https://app.cochat.ai/papers/10.1103/physreva.65.052325
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Acín, A., Durt, T., Gisin, N., & Latorre, J. I. (2002). Quantum nonlocality in two three-level systems. Physical Review A. https://doi.org/10.1103/physreva.65.052325

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