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Tom Cooney
Louisiana State University
Quantum Channel Discrimination
Friday, November 14 1PM, 646 PGH
Abstract
A quantum channel (a completely positive, trace-preserving map) can be used
to send (quantum) information from one location to another. Suppose you have
access to a quantum channel but do not know whether that channel is N_1 or
N_2. By using the channel n times, you seek to determine which channel
is in your possession. What is the optimal rate at which one can correctly
answer that N_1 was used while still keeping low the probability of
incorrectly answering N_1 when N_2 was used? Using the completely
bounded norms of maps between Schatten p-classes and the sandwiched Renyi
relative entropy, we recover the same results as in classical hypothesis
testing in the case that one of the channels is a replacer channel. No prior
knowledge of quantum information theory will be assumed.
Based on joint work with Mark M. Wilde and Milan Mosonyi, arXiv:1408.3373.
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Last modified: April 08 2016 - 07:21:37