Properties and applications of the Kirkwood–Dirac distribution

DRM Arvidsson-Shukur, W Braasch… - 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 …

Quasiprobabilities in quantum thermodynamics and many-body systems: A tutorial

S Gherardini, G De Chiara - arXiv preprint arXiv:2403.17138, 2024 - arxiv.org
Quasiprobabilities are mathematical quantities describing the statistics of measurement
outcomes evaluated at two or more times, which incorporate the incompatibility of the …

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 …

Unitary-invariant witnesses of quantum imaginarity

C Fernandes, R Wagner, L Novo, EF Galvão - Physical Review Letters, 2024 - APS
Quantum theory is traditionally formulated using complex numbers. This imaginarity of
quantum theory has been quantified as a resource with applications in discrimination tasks …

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 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 …

Nonlocal advantages of quantum imaginarity

ZW Wei, SM Fei - Physical Review A, 2024 - APS
Quantum imaginarity and quantum nonlocality capture the essence of quantumness of a
physical system from different aspects. We establish a connection between the imaginarity …

Projective measurements can probe nonclassical work extraction and time correlations

S Hernández-Gómez, S Gherardini, A Belenchia… - Physical Review …, 2024 - APS
Quantum correlation functions are a natural way to encode multitime information, as they are
ubiquitous in analysis from fluctuation theorems to information scrambling. Correlation …

Characterizing the geometry of the Kirkwood–Dirac-positive states

C Langrenez, DRM Arvidsson-Shukur… - Journal of Mathematical …, 2024 - pubs.aip.org
The Kirkwood–Dirac (KD) quasiprobability distribution can describe any quantum state with
respect to the eigenbases of two observables A and B. KD distributions behave similarly to …

Energetics and quantumness of Fano coherence generation

L Donati, FS Cataliotti, S Gherardini - Scientific Reports, 2024 - nature.com
In a multi-level quantum system Fano coherences stand for the formation of quantum
coherences due to the interaction with the continuum of modes characterizing an incoherent …