"Self-testing" a multipartite quantum state means verifying the existence of the state based on the outcomes of unknown or untrusted measurements. There are some previously known results on self-testing which involve nonlocal binary XOR games such as the CHSH test and the GHZ paradox. In our work we expand on these results. We provide a general criterion which, when satisfied, guarantees that a given nonlocal binary XOR game is a "robust" (error-tolerant) self-test. This work may have applications in device-independent quantum cryptography. In my talk I will explain the conceptual basis for the criterion and offer some examples.
Carl Miller was born in the USA in 1979. In 1996 he was a member of the American team to the International Math Olympiad. He studied mathematics at the University of California, Berkeley, receiving a Ph.D. in 2007, and subsequently migrated into the field of quantum information theory. He is currently working with Yaoyun Shi as a research fellow at the University of Michigan, Ann Arbor. He is primarily interested in problems in quantum communication.