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2018

2018

We prove a number of quantitative stability bounds for the cases of equality in Petz’s monotonicity theorem for quasi-relative…

Highly Cited

2015

Highly Cited

2015

We study the tradeoff between the statistical error and communication cost of distributed statistical estimation problems in high…

Highly Cited

2013

Highly Cited

2013

Sandwiched (quantum) α-Renyi divergence has been recently defined in the independent works of Wilde et al. [“Strong converse for…

2013

2013

The secrecy capacity of a network, for a given collection of permissible wiretap sets, is the maximum rate of communication such…

Highly Cited

2013

Highly Cited

2013

In this paper we provide a new geometric characterization of the Hirschfeld-Gebelein-R\'{e}nyi maximal correlation of a pair of…

2011

2011

The strength of quantum correlations is bounded from above by Tsirelson's bound. We establish a connection between this bound and…

2010

2010

We consider the quantum f-relative entropy where f is an operator convex function. We define a family of operator convex…

2010

2010

A high-dimensional database system is studied where the noisy versions of the underlying feature vectors are observed in both the…

Highly Cited

2007

Highly Cited

2007

It is well-known that the information bottleneck method and rate distortion theory are related. Here it is described how the…