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
--------------------------------------------- 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).