Adversarial hypothesis testing and a quantum stein's lemma for restricted measurements

Recall the classical hypothesis testing setting with two convex sets of probability distributions P and Q. One receives either n i.i.d. samples from a distribution p ∈ P or from a distribution q ∈ Q and wants to decide from which set the points were sampled. It is known that the optimal exponential...

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Bibliographic Details
Main Authors: Brandao, Fernando G.S.L., Harrow, Aram W., Lee, James R., Peres, Yuval
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: Association for Computing Machinery (ACM) 2014
Online Access:http://hdl.handle.net/1721.1/88449
https://orcid.org/0000-0003-3220-7682