649 citations · 2.6k across the 83 of their papers we have counts for
86 papers
The Failure of Simultaneous Quantum Typicality
Benoit Collins
We establish exact thresholds for the failure of simultaneous quantum typicality: three parties for mixed states and four for pure states. For the four-qubit Higuchi--Sudbery state…
Norm of matrix-valued polynomials in random unitaries and permutations
Charles Bordenave, Benoit Collins
We consider a non-commutative polynomial in several independent -dimensional random unitary matrices, uniformly distributed over the unitary, orthogonal or symmetric groups, and…
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…
Moment Methods on compact groups: Weingarten calculus and its applications
Benoit Collins
A fundamental property of compact groups and compact quantum groups is the existence and uniqueness of a left and right invariant probability -- the Haar measure. This is a natural…
Matrix models for cyclic monotone and monotone independences
Benoît Collins, Felix Leid, Noriyoshi Sakuma
Cyclic monotone independence is an algebraic notion of noncommutative independence, introduced in the study of multi-matrix random matrix models with small rank. Its algebraic form…
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…