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quant-ph2025

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-ph2024

Contextuality Can be Verified with Noncontextual Experiments

Jonathan J. Thio, Wilfred Salmon, Crispin H. W. Barnes +2

We uncover new features of generalized contextuality by connecting it to the Kirkwood-Dirac (KD) quasiprobability distribution. Quantum states can be represented by 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…

quant-ph2024

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-ph2023

Rigorous results on approach to thermal equilibrium, entanglement, and nonclassicality of an optical quantum field mode scattering from the elements of a non-equilibrium quantum reservoir

Stephan De Bievre, Marco Merkli, Paul E. Parris

Rigorous derivations of the approach of individual elements of large isolated systems to a state of thermal equilibrium, starting from arbitrary initial states, are exceedingly rar…