Publications (47)
Representations of Lie groups and random matrices
Benoit Collins, Piotr Sniady
The Connes embedding property for quantum group von Neumann algebras
Michael Brannan, Benoit Collins, Roland Vergnioux
The absolute positive partial transpose property for random induced states
Benoit Collins, Ion Nechita, Deping Ye
Characterization of singular numbers of products of operators in matrix algebras and finite von Neumann algebras
Hari Bercovici, Benoit Collins, Ken Dykema +1
A Linearization of Connes' Embedding Problem
Benoit Collins, Ken Dykema
Strong Convergence of Unitary Brownian Motion
Benoit Collins, Antoine Dahlqvist, Todd Kemp
On the convergence of output sets of quantum channels
Benoit Collins, Motohisa Fukuda, Ion Nechita
Free products of sofic groups with amalgamation over monotileably amenable groups
Benoit Collins, Ken Dykema
The accessibility of convex bodies and derandomization of the hit and run algorithm
Benoit Collins, Termeh Kousha, RafaÅ Kulik +2
Generating random density matrices
Karol Zyczkowski, Karol A. Penson, Ion Nechita +1
Integration over compact quantum groups
Teodor Banica, Benoit Collins
Almost one bit violation for the additivity of the minimum output entropy
Serban T. Belinschi, Benoit Collins, Ion Nechita
Liberation of Projections
Benoit Collins, Todd Kemp
On a reduction procedure for Horn inequalities in finite von Neumann algebras
Benoit Collins, Ken Dykema
Free Bessel laws
Teodor Banica, Serban Belinschi, Mireille Capitaine +1
Second Order Freeness and Fluctuations of Random Matrices, III. Higher order freeness and free cumulants
Benoit Collins, James A. Mingo, Piotr Sniady +1
Sum--of--squares results for polynomials related to the Bessis--Moussa--Villani conjecture
Benoit Collins, Kenneth J. Dykema, Francisco Torres-Ayala
Martin Boundary Theory of some Quantum Random Walks
Benoit Collins
Random graph states, maximal flow and Fuss-Catalan distributions
Benoit Collins, Ion Nechita, Karol Zyczkowski
Quantum permutation groups: a survey
Teodor Banica, Julien Bichon, Benoit Collins
Random matrix techniques in quantum information theory
Benoit Collins, Ion Nechita
Integration over quantum permutation groups
Teodor Banica, Benoit Collins
On polynomial integrals over the orthogonal group
Teodor Banica, Benoit Collins, Jean-Marc Schlenker
Integration over the Pauli quantum group
Teodor Banica, Benoit Collins
On a family of a linear maps from $M_{n}(\mathbb{C})$ to $M_{n^{2}}(\mathbb{C})$
Benoit Collins, Hiroyuki Osaka, Gunjan Sapra
Asymptotics of unitary and othogonal matrix integrals
Benoit Collins, Alice Guionnet, Edouard Maurel-Segala
Matrix Product States, Random Matrix Theory and the Principle of Maximum Entropy
Benoit Collins, Carlos E. Gonzalez-Guillen, David Perez-Garcia
A maximality result for orthogonal quantum groups
Teodor Banica, Julien Bichon, Benoit Collins +1
A non-convex asymptotic quantum Horn body
Benoit Collins, Ken Dykema
The strong asymptotic freeness of Haar and deterministic matrices
Benoit Collins, Camille Male
Matrix Units in the Symmetric Group Algebra, and Unitary Integration
Timothy Cioppa, Benoit Collins
Low entropy output states for products of random unitary channels
Benoit Collins, Motohisa Fukuda, Ion Nechita
New scaling of Itzykson-Zuber integrals
Benoit Collins, Piotr Sniady
Moments and Cumulants of Polynomial random variables on unitary groups, the Itzykson-Zuber integral and free probability
Benoit Collins
Area law for random graph states
Benoit Collins, Ion Nechita, Karol Zyczkowski
The hyperoctahedral quantum group
Teodor Banica, Julien Bichon, Benoit Collins
Free probability for purely discrete eigenvalues of random matrices
Benoit Collins, Takahiro Hasebe, Noriyoshi Sakuma
$*$-Freeness in Finite Tensor Products
Benoit Collins, Pierre Yves Gaudreau Lamarre
Highly entangled, non-random subspaces of tensor products from quantum groups
Michael Brannan, Benoit Collins
Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
Benoit Collins, Piotr Sniady
On orthogonal matrices maximizing the 1-norm
Teodor Banica, Benoit Collins, Jean-Marc Schlenker
Integration of invariant matrices and application to statistics
Benoit Collins, Sho Matsumoto, Nadia Saad
Haagerup's inequality and additivity violation of the Minimum Output Entropy
Benoit Collins
Eigenvalue and Entropy Statistics for Products of Conjugate Random Quantum Channels
Benoit Collins, Ion Nechita
Product of random projections, Jacobi ensembles and universality problems arising from free probability
Benoit Collins
Towards a state minimizing the output entropy of a tensor product of random quantum channels
Benoit Collins, Motohisa Fukuda, Ion Nechita
Random and free positive maps with applications to entanglement detection
Benoit Collins, Patrick Hayden, Ion Nechita