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quant-ph2026

Almost no experiments have classical Kirkwood-Dirac representations

Christopher Langrenez, Wilfred Salmon, Stephan De Bièvre +3

A central problem in quantum information is determining quantum-classical boundaries. In the quasiprobability framework, a state is called classical if it is represented by a quasi…

quant-ph2026

What is special about the Kirkwood-Dirac distributions? Only they produce natural conditional expectations

Matéo Spriet, Christopher Langrenez, Raymond Brummelhuis +1

Among the many quasiprobability representations of quantum mechanics, the family of Kirkwood-Dirac (KD) representations has come to the foreground in recent years. Each such KD rep…

quant-ph2025

The Kirkwood-Dirac representation associated to the Fourier transform for finite abelian groups: positivity

Stephan De Bièvre, Christopher Langrenez, Danylo Radchenko

We construct and study the Kirkwood-Dirac (KD) representations naturally associated to the Fourier transform of finite abelian groups . We identify all pure KD-positive states a…

quant-ph2025

Properties and Applications of the Kirkwood-Dirac Distribution

David R. M. Arvidsson-Shukur, William F. Braasch, Stephan De Bievre +6

Recent years have seen the Kirkwood-Dirac (KD) distribution come to the forefront as a powerful quasi-probability distribution for analysing quantum mechanics. The KD distribution…

quant-ph2024

Convex roofs witnessing Kirkwood-Dirac nonpositivity

Christopher Langrenez, Stephan De Bièvre, David R. M. Arvidsson-Shukur

Given two observables and , one can associate to every quantum state a Kirkwood-Dirac (KD) quasiprobability distribution. KD distributions are like joint classical probabili…