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dc.contributor.author
Berta, Mario
dc.contributor.author
Renes, Joseph M.
dc.contributor.author
Wilde, Mark M.
dc.date.accessioned
2017-06-11T03:04:56Z
dc.date.available
2017-06-11T03:04:56Z
dc.date.issued
2013-03-18
dc.identifier.uri
http://hdl.handle.net/20.500.11850/78175
dc.description.abstract
We show that quantum-to-classical channels, i.e., quantum measurements, can be asymptotically simulated by an amount of classical communication equal to the quantum mutual information of the measurement, if sufficient shared randomness is available. This result generalizes Winter's measurement compression theorem for fixed independent and identically distributed inputs [Winter, CMP 244 (157), 2004] to arbitrary inputs, and more importantly, it identifies the quantum mutual information of a measurement as the information gained by performing it, independent of the input state on which it is performed. Our result is a generalization of the classical reverse Shannon theorem to quantum-to-classical channels. In this sense, it can be seen as a quantum reverse Shannon theorem for quantum-to-classical channels, but with the entanglement assistance and quantum communication replaced by shared randomness and classical communication, respectively. The proof is based on a novel one-shot state merging protocol for "classically coherent states" as well as the post-selection technique for quantum channels, and it uses techniques developed for the quantum reverse Shannon theorem [Berta et al., CMP 306 (579), 2011].
dc.language.iso
en
dc.publisher
​Cornell University
dc.title
Identifying the Information Gain of a Quantum Measurement
dc.type
Working Paper
ethz.journal.title
arXiv
ethz.pages.start
arXiv:1301.1594
ethz.size
45 p.
ethz.notes
See also http://e-citations.ethbib.ethz.ch/view/pub:145864.
ethz.publication.place
​Ithaca, NY
ethz.publication.status
published
ethz.leitzahl
03879 - Christandl, Matthias (SNF-Professur)
ethz.leitzahl.certified
03879 - Christandl, Matthias (SNF-Professur)
ethz.identifier.url
https://arxiv.org/abs/1301.1594v2
ethz.date.deposited
2017-06-11T03:08:24Z
ethz.source
ECIT
ethz.identifier.importid
imp593651771375164790
ethz.ecitpid
pub:123115
ethz.eth
yes
ethz.availability
Metadata only
ethz.rosetta.installDate
2017-07-19T09:02:45Z
ethz.rosetta.lastUpdated
2017-12-21T18:27:01Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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