On the largest Bell violation attainable by a quantum state

@article{Palazuelos2012OnTL,
  title={On the largest Bell violation attainable by a quantum state},
  author={Carlos Palazuelos},
  journal={arXiv: Quantum Physics},
  year={2012}
}
  • C. Palazuelos
  • Published 16 June 2012
  • Mathematics
  • arXiv: Quantum Physics
View PDF on arXiv
22 Citations
Highly Influential Citations
2
Background Citations
9
Methods Citations
1

22 Citations

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New concise upper bounds on quantum violation of general multipartite Bell inequalities
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The LqHV mathematical framework allows us to derive for all d and N a new upper bound on the maximal violation by an N-qudit state of all general Bell inequalities, and for some S, d, and N, the new upper bounds are attainable.
Quantum bounds on multiplayer linear games and device-independent witness of genuine tripartite entanglement
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A systematic method is presented to derive device-independent witnesses of genuine tripartite entanglement, and to show in a simple manner that any nontrivial functional box, that could lead to trivialization of communication complexity in a multiparty scenario, cannot be realized in quantum mechanics.
Random Constructions in Bell Inequalities: A Survey
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The aim of the present work is to review some of the recent results in this direction by focusing on the main ideas and removing most of the technical details, to make the previous study more accessible to a wide audience.
Multipartite entanglement in XOR games
TLDR
It is shown that the multipartite entangled states that are most often seen in today's literature can only lead to a bias that is a constant factor larger than the classical bias, which has the following surprising consequence: classical three-player XOR games do not follow an XOR parallel repetition theorem, even a very weak one.
Quantum steerability: Characterization, quantification, superactivation, and unbounded amplification
Quantum steering, also called Einstein-Podolsky-Rosen steering, is the intriguing phenomenon associated with the ability of spatially separated observers to steer---by means of local…
More nonlocality with less entanglement in Clauser-Horne-Shimony-Holt experiments using inefficient detectors
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It is shown that the CHSH Inequality can always be violated for any nonzero detection efficiency and any choice of non-commuting measurements.
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References

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The Unique Games Conjecture with Entangled Provers is False
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