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math-ph2016★ 36 cited
Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem
Serban Belinschi, Maciej A. Nowak, Roland Speicher +1
We extend the so-called "single ring theorem"[1], also known as the Haagerup-Larsen theorem[2], by showing that in the limit when the size of the matrix goes to infinity a particul…
math-ph2013★ 16 cited
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…