188 citations · 1.3k across the 84 of their papers we have counts for
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On some classes of bipartite unitary operators
Julien Deschamps, Ion Nechita, Clement Pellegrini
We investigate unitary operators acting on a tensor product space, with the property that the quantum channels they generate, via the Stinespring dilation theorem, are of a particu…
Random matrix techniques in quantum information theory
Benoit Collins, Ion Nechita
The purpose of this review article is to present some of the latest developments using random techniques, and in particular, random matrix techniques in quantum information theory.…
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…
Random and free positive maps with applications to entanglement detection
Benoit Collins, Patrick Hayden, Ion Nechita
We apply random matrix and free probability techniques to the study of linear maps of interest in quantum information theory. Random quantum channels have already been widely inves…
Thresholds for reduction-related entanglement criteria in quantum information theory
Maria Anastasia Jivulescu, Nicolae Lupa, Ion Nechita
We consider random bipartite quantum states obtained by tracing out one subsystem from a random, uniformly distributed, tripartite pure quantum state. We compute thresholds for the…