188 citations · 1.3k across the 84 of their papers we have counts for
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The -circular limit of random tensor flattenings
Stéphane Dartois, Camille Male, Ion Nechita
The tensor flattenings appear naturally in quantum information when one produces a density matrix by partially tracing the degrees of freedom of a pure quantum state. In this paper…
On the joint distribution of the marginals of multipartite random quantum states
Stephane Dartois, Luca Lionni, Ion Nechita
We study the joint distribution of the set of all marginals of a random Wishart matrix acting on a tensor product Hilbert space. We compute the limiting free mixed cumulants of the…
de Finetti reductions for partially exchangeable probability distributions
Ivan Bardet, Cécilia Lancien, Ion Nechita
We introduce a general framework for de Finetti reduction results, applicable to various notions of partially exchangeable probability distributions. Explicit statements are derive…
On the asymptotic distribution of block-modified random matrices
Octavio Arizmendi, Ion Nechita, Carlos Vargas
We study random matrices acting on tensor product spaces which have been transformed by a linear block operation. Using operator-valued free probability theory, under some mild ass…
Realigning random states
Guillaume Aubrun, Ion Nechita
We study how the realignment criterion (also called computable cross-norm criterion) succeeds asymptotically in detecting whether random states are separable or entangled. We consi…
Random pure quantum states via unitary Brownian motion
Ion Nechita, Clément Pellegrini
We introduce a new family of probability distributions on the set of pure states of a finite dimensional quantum system. Without any a priori assumptions, the most natural measure…
Block-modified Wishart matrices and free Poisson laws
Teodor Banica, Ion Nechita
We study the random matrices of type , where is a complex Wishart matrix of parameters , and is a self-ad…
Asymptotic eigenvalue distributions of block-transposed Wishart matrices
Teodor Banica, Ion Nechita
We study the partial transposition of a Wishart matrix of parameters . Our main resu…
Laws of large numbers for eigenvectors and eigenvalues associated to random subspaces in a tensor product
S. Belinschi, B. Collins, I. Nechita
Given two positive integers and and a parameter , we choose at random a vector subspace of dimension $N\sim t…
Random quantum channels II: Entanglement of random subspaces, Renyi entropy estimates and additivity problems
Benoît Collins, Ion Nechita
In this paper we obtain new bounds for the minimum output entropies of random quantum channels. These bounds rely on random matrix techniques arising from free probability theory.…
A permutation model for free random variables and its classical analogue
Florent Benaych-Georges, Ion Nechita
In this paper, we generalize a permutation model for free random variables which was first proposed by Biane in \cite{biane}. We also construct its classical probability analogue,…