Certification of quantum devices via operator-algebraic techniques

Laura Mancinska (University of Copenhagen)

Thursday 27th January 15:00-16:00 Maths 311B

Abstract

In this talk I will introduce the concept of self-testing which aims to answer the fundamental question of how do we certify proper functioning of black-box quantum devices. We will see that operator-algebraic techniques can be applied to this area and that there is a close link between self-testing and stability of algebraic relations. We will leverage this link to propose a family of protocols capable of certifying quantum states and measurements of arbitrarily large dimension with just four binary-outcome measurements. One of our main proof ingredients is a certain algebraic analogue of Gowers-Hatami stability theorem for group representations.

This is a joint work with Chris Schafhauser and Jitendra Prakash.

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