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Updated: Mar 11, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Algorithmic Construction of Local Hidden Variable Models for Entangled Quantum States
Flavien Hirsch1, Marco Túlio Quintino1, Tamás Vértesi2
1Département de Physique Théorique, Université de Genéve, 1211 Genéve, Switzerland.
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.
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