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1
Intro
2
Nonlocal games and MIP
3
MIP*: the complexity landscape
4
Upper-bounding MIP*: challenges
5
Outline
6
Magic Square: the Quantum Strategy
7
Self-testing through representation theory
8
Magic square as a self-test: the analysis
9
Testing the relations: anticommutation
10
Testing consistency
Description:
Explore the intricacies of quantum protocols and complexity theory in this lecture on MIP* and the quantum low-degree test. Delve into nonlocal games, the MIP* complexity landscape, and the challenges of upper-bounding MIP*. Examine the Magic Square quantum strategy and its role as a self-test through representation theory. Investigate the analysis of Magic Square as a self-test and learn about testing relations, including anticommutation and consistency. Gain insights into quantum protocols, testing, and quantum PCPs from Anand Natarajan of Caltech in this comprehensive 70-minute talk presented at the Simons Institute.

MIP* = RE Part 1 - The Quantum Low-Degree Test

Simons Institute
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