Hi Quanta,
This is to let people know that I'm giving a talk on parallel repetition of
entangled games on Wednesday at 4pm (abstract below). This is joint work
with Xiaodi Wu (MIT) and Kai-min Chung (Academia Sinica). If you like
quantum games, or uses of quantum information in complexity theory, this
topic may be of interest.
The talk will be self-contained; no background in parallel repetition or
quantum games will be assumed.
I hope to see some of you there!
Regards,
Henry
---------- Forwarded message ----------
From: <calendar(a)csail.mit.edu>
Date: Mon, Apr 13, 2015 at 2:22 PM
Subject: [Theory-seminars] Wednesday 04-15-2015 Henry Yuen: Parallel
repetition for entangled games via fast quantum search
To: seminars(a)csail.mit.edu, theory-seminars(a)csail.mit.edu
Henry Yuen: Parallel repetition for entangled games via fast quantum search
*Host:* Ilya Razenshteyn
*Date:* Wednesday, April 15, 2015
*Time:* 4:00 PM to 5:00 PM
*Location:* 32-G575
Abstract: We give improved parallel repetition theorems for multiplayer,
one-round games with entangled players, when the inputs to the players are
uncorrelated. We do so by exploiting a novel connection between
communication protocols and quantum parallel repetition, first explored by
Chailloux and Scarpa: by taking advantage of fast quantum protocols for
distributed search, we show that for this class of games (called free
games), the entangled value of the n-fold repetition decays as (1 -
eps^{3/2})^{\Omega(n/s)}, where 1 - eps is the entangled value of the
original game, and s is the output alphabet size.
In contrast, the best known parallel repetition theorem for free games (due
to Barak, et al.) in the classical setting is that the n-fold repetition
value is bounded by (1 - eps^2)^{\Omega(n/s)}, suggesting the possibility
of a separation between the behavior of quantum and classical games under
parallel repetition.
Our proof takes advantage of the Aaronson-Ambainis quantum search protocol,
and a general theorem of Nayak and Salzman that bounds the ability of
parties to convey classical messages using two-way quantum communication.
Joint work with Kai-Min Chung and Xiaodi Wu.
Relevant URL:
For more information please contact: Rebecca Yadegar, ryadegar(a)csail.mit.edu
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