30 citations · 131 across the 11 of their papers we have counts for
11 papers
Entropic Continuity Bounds & Eventually Entanglement-Breaking Channels
Eric P. Hanson
In the first part of this thesis, we present a general technique for establishing local and uniform continuity bounds for Schur concave functions. Our technique uses a particular r…
Guesswork with Quantum Side Information
Eric P. Hanson, Vishal Katariya, Nilanjana Datta +1
What is the minimum number of guesses needed on average to correctly guess a realization of a random variable? The answer to this question led to the introduction of the notion of…
A continuity bound for the expected number of connected components of a random graph: a model for epidemics
Koenraad Audenaert, Eric P. Hanson, Nilanjana Datta
We consider a stochastic network model for epidemics, based on a random graph proposed by Ross [Journal of Applied Probability, 18, 309-315 (1981)]. Members of a population occupy…
Universal proofs of entropic continuity bounds via majorization flow
Eric P. Hanson, Nilanjana Datta
We introduce a notion of majorization flow, and demonstrate it to be a powerful tool for deriving simple and universal proofs of continuity bounds for entropic functions relevant i…
Eventually entanglement breaking Markovian dynamics: structure and characteristic times
Eric P. Hanson, Cambyse Rouzé, Daniel Stilck França
We investigate entanglement breaking times of Markovian evolutions in discrete and continuous time. In continuous time, we characterize which Markovian evolutions are eventually en…
Duality between source coding with quantum side information and c-q channel coding
Hao-Chung Cheng, Eric P. Hanson, Nilanjana Datta +1
In this paper, we establish an interesting duality between two different quantum information-processing tasks, namely, classical source coding with quantum side information, and ch…