Hi everyone,
We will have a talk this week given by our guest Omar Fawzi. Tuesday,
July 12, 17:00, HIT K52 (that's right: no more of this J floor nonsense.)
See you all then!
--Frédéric
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Speaker: Omar Fawzi, McGill University
Date/Time/Place: Tuesday, July 12, 17:00, HIT K52
Title: Classical communication over a quantum interference channel
Abstract:
Network information theory aims to understand the communication rates
achievable for a channel that is shared between many parties. One of the
basic channel models studied in this setting is the interference
channel. Suppose Sender 1 and Sender 2 dispose of a noisy communication
channel to Receiver 1 and Receiver 2. Sender 1 wishes to communicate
with Receiver 1 at a rate R1 and Sender 2 to Receiver 2 at a rate R2.
The question is to simply characterize the best possible rates achieving
reliable communication. Surprisingly, this problem is still open even
though there are many coding strategies that are known to achieve rates
better than the trivial ones.
In this talk, we will look at how to obtain good rates for quantum
interference channels. I will describe different coding techniques and
how they adapt to the quantum setting. It turns out that one of the most
useful classical decoding techniques (especially for the interference
channel) does not easily generalize for quantum systems. I'll try to
prove the existence of such a decoder in some cases and to explain the
difficulties encountered in the general case.
This talk is based on joint work with Patrick Hayden, Ivan Savov, Pranab
Sen and Mark Wilde (arXiv:1102.2624).