Hi Everybody,
Next week we are having two visitors, namely, Rotem Arnon Friedman (ETH Zurich) and Marco
Tomamichel (University of Sydney). Both are staying at the CTP from Monday (June 22) until
Friday (June 26) and they are both giving a seminar. Please find details below and please
fill out the doodle
http://doodle.com/9wbz6sauh2ygkn4c
if you want to meet Rotem, and
http://doodle.com/whnrzzgxnwk4q5t3
if you want to meet Marco. I will put together a schedule on Sunday night.
Thanks and best wishes,
cyril
===================
Date: June 23 at 1:30pm
Speaker: Rotem Arnon Friedman (ETH Zurich)
Title: Non-signalling parallel repetition using de Finetti reductions
Abstract: We study the question of parallel repetition of multiplayer non-signalling
games, i.e., the only restriction on the players is that they are not allowed to
communicate during the game. For complete-support games we prove a threshold theorem,
stating that for any number of players the probability that non-signalling players win
more than a fraction 1 − α of the n games is exponentially small in n. For games with
incomplete-support we prove a similar statement, for a slightly modified form of
repetition.
The most important contribution of the present work is the, arguably simpler, proof
technique which exploits the permutation symmetry of the repeated game. While most
parallel repetition results closely follow the proof technique introduced by Raz we give a
completely different proof, based on ideas emerging from quantum information theory, such
as a recent de Finetti theorem and quantum tomography. Although de Finetti theorems seem
like a natural tool for parallel repetition theorems, this is the first time that a de
Finetti theorem is used successfully in this context. Our proof technique allows us to
avoid central technical difficulties which arise in proofs of parallel repetition theorems
due to the arbitrary structure of the players’ strategies.
Joint work with Renato Renner (ETH Zurich) and Thomas Vidick (Caltech)
arXiv:
http://arxiv.org/abs/1411.1582
===================
Date: June 26 at 1:30pm
Speaker: Marco Tomamichel (University of Sydney)
Title: Processing Information with Small Quantum Devices
Abstract: The capacity of a memoryless channel is often used as a single figure of merit
to characterize its ability to transmit or store information reliably The capacity
determines the maximal rate at which we can code reliably over asymptotically many uses of
the channel. I will argue that this asymptotic treatment is insufficient in the quantum
setting where decoherence severely limits our ability to manipulate large quantum systems
in the encoder and decoder. For all practical purposes we should instead focus on the
trade-off between three parameters: the rate of the code, the number of coherent uses of
the channel, and the fidelity of the transmission. The aim is then to specify the region
determined by allowed combinations of these parameters. This talk will discuss several
recent results in this direction.
===================
Cyril Stark
Center for Theoretical Physics
Massachusetts Institute of Technology
77 Massachusetts Ave, 6-304
Cambridge, MA 02139, USA
_______________________________________________
qip mailing list
qip(a)mit.edu
http://mailman.mit.edu/mailman/listinfo/qip