Probing Kirkwood-Dirac nonpositivity and its operational implications via moments
Abstract
The Kirkwood-Dirac (KD) distribution has recently emerged as a powerful quasiprobability framework with wide-ranging applications in quantum information processing tasks. In this work, we introduce an experimentally motivated criterion for detecting nonclassical signatures of the KD distribution using its statistical moments and demonstrate its effectiveness through explicit examples. We further show that this approach extends naturally to identifying other quantum resources, such as quantum coherence and nonclassical extractable work -- that are intrinsically connected to the KD distribution. Our criteria involves the evaluation of simple functionals, making it well-suited for efficient experimental implementation.
Fields of Study & Subjects
Quantum Mechanics and Applications
Quantum Computing Algorithms and Architecture
Quantum Information and Cryptography
Publication details
- Journal / source
- Physical Review A
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 3
- Publication date
- 20 February 2026
- Language
- EN