9 papers
Majorization precursors to supermodularity and subadditivity on the majorization lattice
Alexander Stévins, Michael G. Jabbour, Serge Deside +1
We establish two structural majorization relations, which we call precursors, underlying the properties of supermodularity and subadditivity on the lattice induced by majorization.…
Boson-fermion complementarity in a linear interferometer: An identity relating the determinant and permanent of a matrix
Michael G. Jabbour, Nicolas J. Cerf
Bosonic and fermionic statistics are well known to give rise to antinomic behaviors, most notably boson bunching vs fermion antibunching. Here, we establish a fundamental relation…
Complementarity between bosonic and fermionic many-body interferences with partially distinguishable particles
Marco Robbio, Michael G. Jabbour, Nicolas J. Cerf
It is well known that bosons and fermions exhibit opposite behaviors when experiencing interference, in the sense that bosons have a tendency to bunch whereas fermions have a tende…
Continuity bounds for quantum entropies arising from a fundamental entropic inequality
Koenraad Audenaert, Bjarne Bergh, Nilanjana Datta +3
We establish a tight upper bound for the difference in von Neumann entropies between two quantum states, and . This bound is expressed in terms of the von Neumann entr…
Complexity of Gaussian quantum optics with a limited number of non-linearities
Michael G. Jabbour, Leonardo Novo
It is well known in quantum optics that any process involving the preparation of a multimode gaussian state, followed by a gaussian operation and gaussian measurements, can be effi…
Unification of observational entropy with maximum entropy principles
Joseph Schindler, Philipp Strasberg, Niklas Galke +2
We introduce a definition of coarse-grained entropy that unifies measurement-based (observational entropy) and max-entropy-based (Jaynes) approaches to coarse-graining, by identify…