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Updated: May 14, 2026

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

Optimal inequalities for state-independent contextuality.

Matthias Kleinmann¹, Costantino Budroni, Jan-Åke Larsson

¹Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, D-57068 Siegen, Germany. matthias.kleinmann@uni-siegen.de

Physical Review Letters

|February 2, 2013

Summary

This study introduces a method to find optimal inequalities for quantum contextuality, revealing state-independent quantum correlations. These findings offer new ways to distinguish quantum from classical behaviors.

Related Experiment Videos

Last Updated: May 14, 2026

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

Area of Science:

Quantum Information Theory
Foundations of Quantum Mechanics

Background:

Contextuality generalizes nonlocality without requiring composite systems or spacelike separation.
Quantum mechanics exhibits state-independent contextual behavior in certain scenarios.

Purpose of the Study:

To develop a method for finding optimal inequalities that separate quantum from classical noncontextual correlations in a state-independent manner.
To identify tight optimal inequalities for fundamental quantum scenarios exhibiting state-independent contextuality.

Main Methods:

Formulating the quest for optimal inequalities as a linear program.
Generalizing the locality polytope to introduce the noncontextuality polytope.

Main Results:

An exact solution exists for finding state-independent optimal inequalities.
Two distinct tight optimal inequalities were identified for the most fundamental quantum scenario with state-independent contextuality.

Conclusions:

The developed linear programming approach provides an exact solution for identifying state-independent contextual behaviors.
The identified inequalities offer precise tools for distinguishing quantum correlations from classical ones in specific scenarios.