Simple test for hidden variables in spin-1 systems.

By Alexander A. Klyachko, M. A. Can, Sinem Binicioǧlu, A. Shumovsky. Physical Review Letters, 2007

463 citations recorded by the source corpus.

We resolve an old problem about the existence of hidden parameters in a three-dimensional quantum system by constructing an appropriate Bell's type inequality. This reveals the nonclassical nature of most spin-1 states. We shortly discuss some physical implications and an underlying cause of this nonclassical behavior, as well as a perspective of its experimental verification.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/18855e466d4b767cbe4ad7b09cbdeab170d45fb4

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Citations in the corpus

Quantum random number generators (2016, methodology): “The quantum random number generators of (Deng et al., 2013) and (Um et al., 2013) produce certified random bits based on contextuality tests through the violation of the Klyachko-Can-Binicioglu-Shumovsky, KCBS, 34 inequality (Klyachko et al., 2008), which doesn’t require entangled states.”
Self-testing of quantum systems: a review (2019, background): “ements one may perform alongside M. Contextuality can be detected through the violation of noncontextuality inequalities, of which the simplest is the Klyachko-Can-Binicioğlu-Shumovsky(KCBS)inequality[KCBbuS08]. Itcorrespondstothescenario in which ﬁve projective binary measurements {M i= (M 0 |,M 1 ”
Is the Quantum State Real? An Extended Review of -ontology Theorems (2014, background): “The Kochen–Specker Theorem [76], and other proofs of KS contextuality [157–164], show that it is impossible to construct a KS noncontextual model for all projective measurements in Hilbert spaces of dimension ≥ 3.”
Do We Really Understand Quantum Mechanics? (2012, background): “50) gives zero; this ket is called “neutrally polarized state” in [291].”
A Combinatorial Approach to Nonlocality and Contextuality (2012, background): “The n-circular hypergraphs generalize the ‘pentagon’ idea of Klyachko-Can-Binicioǧlu-Shumovsky (KCBS) [60].”
All noncontextuality inequalities for the n-cycle scenario (2012, background): “Both the CHSH and KCBS scenarios can be understood as particular cases of a much larger family: The scenario of n dichotomic observables Xi such that the pairs {Xi, Xi+1}, modulo n, are jointly measurable.”
Qudits and High-Dimensional Quantum Computing (2020, background): “The contextual nature can be explained as a particular outcome of a measurement cannot reveal the pre-existing definite value of some underlying hidden variable [77, 78].”