188 citations · 1.3k across the 84 of their papers we have counts for
5 papers · 1 filter
On the convergence of output sets of quantum channels
Benoit Collins, Motohisa Fukuda, Ion Nechita
We study the asymptotic behavior of the output states of sequences of quantum channels. Under a natural assumption, we show that the output set converges to a compact convex set, c…
Submatrices of Hadamard matrices: complementation results
Teo Banica, Ion Nechita, Jean-Marc Schlenker
Two submatrices of a Hadamard matrix are called complementary if, up to a permutation of rows and columns, . We find here an explicit formula for the po…
A universal set of qubit quantum channels
Daniel Braun, Olivier Giraud, Ion Nechita +2
We investigate the set of quantum channels acting on a single qubit. We provide an alternative, compact generalization of the Fujiwara-Algoet conditions for complete positivity to…
Almost one bit violation for the additivity of the minimum output entropy
Serban T. Belinschi, Benoit Collins, Ion Nechita
In a previous paper, we proved that the limit of the collection of possible eigenvalues of output states of a random quantum channel is a deterministic, compact set K_{k,t}. We als…
Area law for random graph states
Benoit Collins, Ion Nechita, Karol Zyczkowski
Random pure states of multi-partite quantum systems, associated with arbitrary graphs, are investigated. Each vertex of the graph represents a generic interaction between subsystem…