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20182025
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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-ph2020

Relating the Entanglement and Optical Nonclassicality of Multimode States of a Bosonic Quantum Field

Anaelle Hertz, Nicolas J. Cerf, Stephan De Bièvre

The quantum nature of the state of a bosonic quantum field manifests itself in its entanglement, coherence, or optical nonclassicality which are each known to be resources for quan…

quant-ph2020

Dynamics of the mean-field interacting quantum kicked rotor

Samuel Lellouch, Adam Rançon, Stephan De Bièvre +2

We study the dynamics of the many-body atomic kicked rotor with interactions at the mean-field level, governed by the Gross-Pitaevskii equation. We show that dynamical localization…

quant-ph2019

Quadrature coherence scale driven fast decoherence of bosonic quantum field states

Anaelle Hertz, Stephan De Bièvre

We introduce, for each state of a bosonic quantum field, its quadrature coherence scale (QCS), a measure of the range of its quadrature coherences. Under coupling to a thermal bath…

quant-ph2018

Measuring nonclassicality of bosonic field quantum states via operator ordering sensitivity

Stephan De Bievre, Dmitri B. Horoshko, Giuseppe Patera +1

We introduce a new distance-based measure for the nonclassicality of the states of a bosonic field, which outperforms the existing such measures in several ways. We define for that…