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International Workshop on Quantum Information Processing
 
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QIP 2010 at

ETH Life

The daily web-journal of ETH Zurich:

"Lifting the big veil"

"Nach dem grossen Schleier lüften"

18.01.2010

QIP 2010 at the

Swiss Radio DRS

Echo der Zeit

from Monday Jan 18, 2010

in German, Link >>

(Real Player recommended)

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pdf files of
Programme Booklet >>
and
Abstracts of all Talks >>

You will receive a hard copy of these files at the registration desk.

Sponsors

Pauli Center for Theoretical Studies

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The Swiss National Science Foundation

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ETH Zurich (Computer Science and Physics Department)

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Quantum Science and Technology

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CQT Singapore

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QAP European Project

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Sandia National Laboratories

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Institute for Quantum Computing

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id Quantique

3rdideequantique

Zero-error channel capacity and simulation assisted by non-local correlations

William Matthews, IQC Waterloo

joint work with Toby Cubitt, Debbie Leung, and Andreas Winter

We will show that there are classical channels whose classical (one-shot) zero-error capacity can be increased by making use of a suitable entangled state shared between the sender and receiver. This constitutes a novel use of entanglement to enhance a classical communication task. Our examples are based on proofs of the Bell-Kochen-Specker theorem and the phenomenon is shown to be related to "pseudo-telepathy'' games.

These examples pose the question: To what extent can entanglement assist for zero-error communication? To this end we have found upper bounds by considering assistance by general non-signalling (NS) correlations e.g. the 'box' of Popescu and Rohrlich. This vastly simplifies the theory (and sometimes enables zero-error communication even when the available channel has no zero-error capacity). We give an efficiently computable, single-letter formula for both the NS-assisted zero-error capacity and the NS-assisted asymptotic communication cost of exact simulation (similarly for the corresponding single-shot quantities). We even obtain a weak form of asymptotic reversibility between zero-error coding and simulation in the presence of NS correlations (analogous to the reverse Shannon theorem), which we show cannot be made any stronger.

 

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