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Updated: May 22, 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

Discord and nonclassicality in probabilistic theories.

Paolo Perinotti¹

¹QUIT Group, Dipartimento di Fisica, Università di Pavia and INFN sezione di Pavia, via Bassi 6, 27100 Pavia, Italy. paolo.perinotti@unipv.it

Physical Review Letters

|May 1, 2012

Summary

Quantum discord, a measure of nonclassical correlations, is extended to causal probabilistic theories. This work demonstrates that non-null discord universally signifies nonclassicality, distinguishing it from classical probability.

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Last Updated: May 22, 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 Probability
Nonclassical Correlations

Background:

Quantum discord quantifies nonclassical correlations in quantum states.
The original definition of quantum discord was proposed by Ollivier and Zurek.
Understanding nonclassicality is crucial for quantum information processing.

Purpose of the Study:

To introduce and define quantum discord for states within causal probabilistic theories.
To investigate the implications of discord in generalized probabilistic frameworks.
To identify universal signatures of nonclassicality beyond quantum mechanics.

Main Methods:

Extending the definition of quantum discord to causal probabilistic theories.
Analyzing the properties of discord in various probabilistic models.
Comparing discord in classical and nonclassical probabilistic theories.

Main Results:

Discord is successfully introduced for states in causal probabilistic theories.
Classical probability theory is uniquely characterized by having only null discord.
Non-null discord is shown to be a generic indicator of nonclassicality.

Conclusions:

Quantum discord serves as a universal measure of nonclassicality across different probabilistic theories.
The concept of discord provides a fundamental distinction between classical and nonclassical probabilistic systems.
This generalization deepens our understanding of nonclassical correlations and their theoretical underpinnings.