PIRSA:12110067 Scientific Series

DOI10.48660/12110067

Series: Quantum Information

(2012). Optimal quantum self-tests based on binary nonlocal XOR games. Perimeter Institute. https://pirsa.org/12110067

Optimal quantum self-tests based on binary nonlocal XOR games. Perimeter Institute, Nov. 07, 2012, https://pirsa.org/12110067 

@misc{ pirsa_PIRSA:12110067,
  doi = {10.48660/12110067},
  url = {https://pirsa.org/12110067},
  author = {},
  keywords = {},
  language = {en},
  title = {Optimal quantum self-tests based on binary nonlocal XOR games},
  publisher = {Perimeter Institute},
  year = {2012},
  month = {nov},
  note = {PIRSA:12110067 see, \url{https://pirsa.org}}
}

Abstract

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).

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