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Seminar: Information Theoretic Benefit of Entanglement in Classical Communication Settings - Dr Salman Beigi, IPM, Tehran, Iran

Presented by Dr Salman Beigi, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran, (invited by Prof Runyao Duan)

Abstract: Although zero-error capacity of (point-to-point) classical channels may increase when the sender and receiver are provided with shared entanglement, permitting an asymptotically vanishing error eliminates this benefit. This observation may suggest that, in a classical setting that involves classical inputs, outputs, and communication channels, using shared entanglement has no privilege from an information theoretic perspective when average quantities over repeated trials permitting asymptotically vanishing errors are considered. It is well known that entanglement does help in a Bell scenario, yet such scenarios are not fully understood from an information theoretic perspective. The talk introduce a single-letter formula for an entanglement-assisted communication cost to simulate non-local correlations with classical communication. It will then be argued that studying the benefit of entanglement in multi-terminal settings requires evaluation of expressions involving quantum auxiliary registers. To compute these expressions, however, an upper bound on the dimension of the auxiliary systems is required, for which no non-trivial technique is known. To approach this problem the notion of quantum convexification will be introduced. It will be shown that quantum convexification is strictly richer than the usual classical convexification. To prove this, new tools have been developed that might be useful for bounding the dimension of quantum auxiliary registers. This talk is based on a joint work with Amin Gohari.


Short Bio: Salman Beigi, after receiving a gold medal at the International Mathematical Olympiad (IMO) in 2000, started his undergraduate studies in the math department of Sharif University of Technology in Tehran, Iran. In 2005 he enrolled as a PhD student in the MIT math department where he began research in quantum information under Peter Shor's supervision. He graduated from MIT in 2009 and joined the John Preskill group at Caltech as a postdoctoral researcher. He joined the Institute for Research in Fundamental Sciences (IPM) in Tehran in 2011, where he works as a Senior Postdoctoral Research Fellow.

 

Date:
14 September 2012
Time:
14:00 - 15:00
Location:
City - Broadway CB02 Level 4, Room 11
Audience:
All Welcome
Contact:
Barbara Munday

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