title: Algorithmic Construction of Local Hidden Variable Models for Entangled Quantum States.
abstract: Constructing local hidden variable (LHV) models for entangled quantum states is a fundamental problem, with implications for the foundations of quantum theory and for quantum information processing. It is, however, a challenging problem, as the model should reproduce quantum predictions for all possible local measurements. Here we present a simple method for building LHV models, applicable to any entangled state and considering continuous sets of measurements. This leads to a sequence of tests which, in the limit, fully captures the set of quantum states admitting a LHV model. Similar methods are developed for local hidden state models. We illustrate the practical relevance of these methods with several examples.
authors.affiliation: Département de Physique Théorique, Université de Genéve, 1211 Genéve, Switzerland.
authors.forename: Flavien
authors.initials: F
authors.lastname: Hirsch
authors.affiliation: Département de Physique Théorique, Université de Genéve, 1211 Genéve, Switzerland.
authors.forename: Marco Túlio
authors.initials: MT
authors.lastname: Quintino
authors.affiliation: Institute for Nuclear Research, Hungarian Academy of Sciences, P.O. Box 51, H-4001 Debrecen, Hungary.
authors.forename: Tamás
authors.initials: T
authors.lastname: Vértesi
authors.affiliation: Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario N2L 2Y5, Canada.
authors.forename: Matthew F
authors.initials: MF
authors.lastname: Pusey
authors.affiliation: Département de Physique Théorique, Université de Genéve, 1211 Genéve, Switzerland.
authors.forename: Nicolas
authors.initials: N
authors.lastname: Brunner