Friday, January 22, 2021

4:00 p.m.

PhD Candidate: Arthur Mehta

Supervisor: Henry Yuen

Thesis title: Entanglement and non-locality in games and graphs

***

This thesis is primarily based on two collaborative works written by the author and several coauthors. These works are presented in Chapters 4 and 5 and are on the topics of quantum graphs, and self-testing via non-local games, respectively.

The study of non-local games considers scenarios in which separated players collaborate to provide satisfying responses to questions given by a referee. The condition of separating players makes non-local games an excellent setting to gain insight into quantum phenomena such as entanglement and non-locality. Non-local games can also provide protocols known as self-tests. Self-testing allows an experimenter to interact classically with a black box quantum system and certify that a specific entangled state was present, and a specific set of measurements were performed. The most studied self-test is the CHSH game which certifies the presence of a single EPR entangled state and the use of anti-commuting Pauli measurements. In Chapter 5, we introduce an algebraic generalization of CHSH and obtain a self-test for non-Pauli operators resolving an open question posed by Coladangelo and Stark (QIP 2017). Our games also provide a self-test for states other than the maximally entangled state, and hence resolves the open question posed by Cleve and Mittal (ICALP 2012).

A copy of the thesis can be found here: Thesis_Version_3 (1)-1

## no comment as of now