37 citations · 53 across the 4 of their papers we have counts for
5 papers
Differential hierarchy of the Husimi representation
Zacharie Van Herstraeten, Ulysse Chabaud
Phase-space representations reveal the geometry of quantum mechanics and distinguish quantum features from classical ones. However, the positivity of a density operator is among th…
Wigner-positive quantum states can have lower entropy than the vacuum
Zacharie Van Herstraeten, Nicolas J. Cerf, Ulysse Chabaud
The Wigner entropy conjecture posits that pure Gaussian states minimize the Shannon entropy of non-negative Wigner functions, known as the Wigner entropy. We show that mixing a spe…
Majorization ladder in bosonic Gaussian channels
Zacharie Van Herstraeten, Michael G. Jabbour, Nicolas J. Cerf
We show the existence of a majorization ladder in bosonic Gaussian channels, that is, we prove that the channel output resulting from the energy eigenstate (Fock state…
Continuous majorization in quantum phase space
Zacharie Van Herstraeten, Michael G. Jabbour, Nicolas J. Cerf
We explore the role of majorization theory in quantum phase space. To this purpose, we restrict ourselves to quantum states with positive Wigner functions and show that the continu…
Quantum Wigner entropy
Zacharie Van Herstraeten, Nicolas J. Cerf
We define the Wigner entropy of a quantum state as the differential Shannon entropy of the Wigner function of the state. This quantity is properly defined only for states that poss…