649 citations · 2.6k across the 83 of their papers we have counts for
19 papers · 1 filter
The spectrum of local random Hamiltonians
Benoit Collins, Zhi Yin, Liang Zhao +1
The spectrum of a local random Hamiltonian can be represented generically by the so-called -free convolution of its local terms' probability distributions. We establish an isomo…
The tensor Harish-Chandra--Itzykson--Zuber integral II: detecting entanglement in large quantum systems
Benoît Collins, Razvan Gurau, Luca Lionni
We consider the recently introduced generalization of the Harish-Chandra--Itzykson--Zuber integral to tensors and discuss its asymptotic behavior when the characteristic size N of…
Projections of Orbital Measures and Quantum Marginal Problems
Benoît Collins, Colin McSwiggen
This paper studies projections of uniform random elements of (co)adjoint orbits of compact Lie groups. Such projections generalize several widely studied ensembles in random matrix…
The Weingarten Calculus
Benoit Collins, Sho Matsumoto, Jonathan Novak
This is a short introduction to Weingarten Calculus. Weingarten Calculus is a method to compute the joint moments of matrix variables distributed according to the Haar measure of c…
Characterization of equivariant maps and application to entanglement detection
Ivan Bardet, Benoît Collins, Gunjan Sapra
We study equivariant linear maps between finite-dimensional matrix algebras, as introduced by Bhat. These maps satisfy an algebraic property which makes it easy to study their posi…
Temperley-Lieb quantum channels
Michael Brannan, Benoît Collins, Hun Hee Lee +1
We study a class of quantum channels arising from the representation theory of compact quantum groups that we call Temperley-Lieb quantum channels. These channels simultaneously ex…