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Updated: Mar 11, 2026

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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.
Researchers developed a straightforward method to construct local hidden variable (LHV) models for entangled quantum states, crucial for quantum information and theory. This approach enables testing quantum states and has implications for local hidden state models.
Area of Science:
- Quantum Physics
- Foundations of Quantum Theory
- Quantum Information Processing
Background:
- Constructing local hidden variable (LHV) models for entangled quantum states is essential for understanding quantum theory's foundations.
- Reproducing quantum predictions for all possible local measurements presents a significant challenge in this field.
Purpose of the Study:
- To present a simple and broadly applicable method for building LHV models for any entangled quantum state.
- To develop a sequence of tests that, in the limit, fully characterizes quantum states admitting an LHV model.
- To extend similar methods for local hidden state models and demonstrate practical relevance.
Main Methods:
- Development of a novel, simple method for constructing LHV models.
- Inclusion of continuous sets of measurements in the modeling process.
- Formulation of a limiting sequence of tests to capture all quantum states with LHV models.
Main Results:
- A general method for building LHV models for entangled quantum states has been established.
- The method accounts for continuous measurement sets, enhancing its applicability.
- The developed tests effectively characterize quantum states compatible with LHV models.
Conclusions:
- The presented method offers a practical approach to constructing LHV models for quantum states.
- This work advances the understanding of quantum foundations and has implications for quantum information processing.
- The methods are illustrated with examples, highlighting their practical significance.
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