QLunch: David Rasmussen Lolck

Speaker: David Rasmussen Lolck

Title: The role of randomness in self-testing

Abstract: 

In a self-testing scenario the intent is to certify an underlying quantum experiment through a black-box test. This is typically done by proving that during an experiment, for any strategy that generates some correlations it is possible to extract a specific canonical strategy that generates the same correlations.

We are in this scenario interested in characterising the shared quantum state with as few assumptions as possible. I will show that if the state of the canonical strategy has full Schmidt rank, then if a non-local game self-tests some strategy under the assumption that the shared state is pure, the same game self-tests the same strategy without having to make any assumptions about the purity of the shared state.