Self-testing a multipartite quantum state means verifying the existence of the state based on the outcomes of unknown or untrusted measurements. This concept is important in device-independent quantum cryptography. 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 self-test.  The error term in this result is quadratic, which is the best possible.  In my talk I will explain the conceptual basis for the criterion and offer some examples.  This is joint work with Yaoyun Shi (arXiv:1207.1819).


Talk Number PIRSA:12110067
Collection Quantum Information