Bell inequalities for arbitrarily high-dimensional systems.
By D. Collins, Nicolas Gisin, Noah Linden, Serge Massar, Sandu Popescu. Physical Review Letters, 2001
818 citations recorded by the source corpus.
We develop a novel approach to Bell inequalities based on a constraint that the correlations exhibited by local variable theories must satisfy. This is used to construct a family of Bell inequalities for bipartite quantum systems of arbitrarily high dimensionality which are strongly resistant to noise. In particular, our work gives an analytic description of previous numerical results and generalizes them to arbitrarily high dimensionality.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5f09326a8bd2cdd4d011062bbca1d6bd336cc792
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In Atomic and Molecular Physics, and Optics
- Mehul Malik
- Marcus Huber
- Nicolai Friis
- Otfried Gühne
- Miles J. Padgett
- Giuseppe Vitagliano
- Géza Tóth
- Mario Krenn
In Mathematical Physics
Citations in the corpus
- Entanglement detection (2008, background): “[335] presents a family of Bell inequalities, called the Collins–Gisin–Linden–Massar–Popescu (CGLMP) inequalities for bipartite quantum systems of arbitrarily high dimensionality, which are strongly resistant to noise.”
- A glance beyond the quantum model (2009, methodology): “As the CHSH parameter, the CGLMP parameters [22] are linear functions Sd on the probabilities P (a, b), to be applied over scenarios with s = 2 and arbitrary d, and, as the CHSH parameter, the maximum possible value of these functions under the assumption of locality is 2.”
- Realization of a Quantum Integer-Spin Chain with Controllable Interactions (2014, neutral): “inequalities [58], which require many local rotations but are sensitive to maximally entangled states like ðj00i þ j þ −i þ j −þiÞ= ffiffiffi 3 p .”
- Twisted photons: new quantum perspectives in high dimensions (2017, background): “[43] Daniel Collins, Nicolas Gisin, Noah Linden, Serge”