Nonsequential positive-operator-valued measurements on entangled mixed states do not always violate a Bell inequality

By Jonathan Barrett. 2001

237 citations recorded by the source corpus.

We present a local-hidden-variable model for positive-operator-valued measurements (an LHVPOV model) ) on a class of entangled generalized Werner states, thus demonstrating that such measurements do not always violate a Bell-type inequality. We also show that, in general, if the state ρ' can be obtained from p with certainty by local quantum operations without classical communication, then an LHVPOV model for the state p implies the existence of such a model for p'.

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

View Paper: https://www.semanticscholar.org/paper/53041b017345e9052a52a474dd95d7ac3d87ee74

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Entanglement detection (2008, background): “The same statement holds even if one allows positive-operator-valued measurements (POVMs) [311].”
Entanglement certification from theory to experiment (2018, background): “[21] J.”
Inequivalence of entanglement, steering, and Bell nonlocality for general measurements (2015, methodology): “However, when considering arbitrary POVMs, it is only known that entanglement is inequivalent to nonlocality [33].”
Quantum steering (2019, methodology): “First, in (Barrett, 2002) an LHV model for Werner states with p ≤ 5/12 has been constructed which explains all the measurement probabilities for arbitrary POVMs.”
The Theory of Quantum Information (2018, background): “Some entangled states fail to induce non-classical correlations—this was demonstrated for the special case in which only projective measurements are made on the two parts of a bipartite state by Werner [225], and for general measurements by Barrett [23].”
Experimental EPR-steering using Bell-local states (2009, background): “Although non-projective measurements could, in theory, be more powerfu”