Measure-theoretic approach to negative probabilities

2023/01/31 by Elisa Monchietti, César Massri, Monchietti, Elisa +5 · 2 citations
Computer Science · Physics and Astronomy · #Computability, Logic, AI Algorithms #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2302.00118

openalex publication_date 2023/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we elaborate on a measure-theoretic approach to negative probabilities. We study a natural notion of contextuality measure and characterize its main properties. Then, we apply this measure to relevant examples of quantum physics. In particular, we study the role played by contextuality in quantum computing circuits.

Cited by

• Distribution of nonlocality on quantum random circuits
• Non-additive measures for quantum probability?

Related

• Negative Probabilities and Contextuality
• Indistinguishability and Negative Probabilities
• Varieties of contextuality based on probability and structural nonembeddability
• Contextual Measurement Model and Quantum Theory
• Simulation of quantum contextuality with invasive-measurement maps