Properties and applications of the Kirkwood–Dirac distribution

DRM Arvidsson-Shukur, WF Braasch Jr… - New Journal of …, 2024 - iopscience.iop.org
There are several mathematical formulations of quantum mechanics. The Schrödinger
picture expresses quantum states in terms of wavefunctions over, eg position or momentum …

Quantum coherence and ergotropy

G Francica, FC Binder, G Guarnieri, MT Mitchison… - Physical Review Letters, 2020 - APS
Constraints on work extraction are fundamental to our operational understanding of the
thermodynamics of both classical and quantum systems. In the quantum setting, finite-time …

Quasiprobabilities in quantum thermodynamics and many-body systems

S Gherardini, G De Chiara - PRX Quantum, 2024 - APS
In this tutorial, we present the definition, interpretation, and properties of some of the main
quasiprobabilities that can describe the statistics of measurement outcomes evaluated at …

Quantifying quantum coherence via Kirkwood-Dirac quasiprobability

A Budiyono, HK Dipojono - Physical Review A, 2023 - APS
Kirkwood-Dirac (KD) quasiprobability is a quantum analog of phase space probability of
classical statistical mechanics, allowing negative or/and nonreal values. It gives an …

Spin quantum heat engine quantified by quantum steering

W Ji, Z Chai, M Wang, Y Guo, X Rong, F Shi, C Ren… - Physical Review Letters, 2022 - APS
Following the rising interest in quantum information science, the extension of a heat engine
to the quantum regime by exploring microscopic quantum systems has seen a boon of …

Interferometry of quantum correlation functions to access quasiprobability distribution of work

S Hernández-Gómez, T Isogawa, A Belenchia… - npj Quantum …, 2024 - nature.com
Abstract The Kirkwood-Dirac quasiprobability distribution, intimately connected with the
quantum correlation function of two observables measured at distinct times, is becoming …

Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables

M Lostaglio, A Belenchia, A Levy… - Quantum, 2023 - quantum-journal.org
Recent work has revealed the central role played by the Kirkwood-Dirac quasiprobability
(KDQ) as a tool to properly account for non-classical features in the context of condensed …

Kirkwood-Dirac representations beyond quantum states and their relation to noncontextuality

D Schmid, RD Baldijão, Y Yīng, R Wagner, JH Selby - Physical Review A, 2024 - APS
Kirkwood-Dirac representations of quantum states are increasingly finding use in many
areas within quantum theory. Usually, representations of this sort are only applied to provide …

Fluctuating work in coherent quantum systems: Proposals and limitations

E Bäumer, M Lostaglio, M Perarnau-Llobet… - Thermodynamics in the …, 2018 - Springer
One of the most important goals in quantum thermodynamics is to demonstrate advantages
of themodynamic protocols over their classical counterparts. For that, it is necessary to (i) …

Work fluctuations in slow processes: quantum signatures and optimal control

HJD Miller, M Scandi, J Anders, M Perarnau-Llobet - Physical review letters, 2019 - APS
An important result in classical stochastic thermodynamics is the work fluctuation-dissipation
relation (FDR), which states that the dissipated work done along a slow process is …