735 citations · 977 across the 22 of their papers we have counts for
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quant-ph2013★ 735 cited
On quantum Renyi entropies: a new generalization and some properties
Martin Müller-Lennert, Frédéric Dupuis, Oleg Szehr +2
The Renyi entropies constitute a family of information measures that generalizes the well-known Shannon entropy, inheriting many of its properties. They appear in the form of uncon…
math.SP2013★ 14 cited
Eigenvalue estimates for the resolvent of a non-normal matrix
Oleg Szehr
We investigate the relation between the spectrum of a non-normal matrix and the norm of its resolvent. We provide spectral estimates for the resolvent of matrices whose largest sin…
math-ph2013★ 36 cited
Spectral convergence bounds for classical and quantum Markov processes
Oleg Szehr, David Reeb, Michael M. Wolf
We introduce a new framework that yields spectral bounds on norms of functions of transition maps for finite, homogeneous Markov chains. The techniques employed work for bounded se…