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DOI: 10.4230/LIPIcs.TQC.2013.254
Optimal Robust Self-Testing by Binary Nonlocal XOR Games

Authors: Carl A. Miller and Yaoyun Shi

Published in: LIPIcs, Volume 22, 8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013)

Abstract
Self-testing a quantum apparatus means verifying the existence of a certain quantum state as well as the effect of the associated measuring devices based only on the statistics of the measurement outcomes. Robust (i.e., error-tolerant) self-testing quantum apparatuses are critical building blocks for quantum cryptographic protocols that rely on imperfect or untrusted devices. We devise a general scheme for proving optimal robust self-testing properties for tests based on nonlocal binary XOR games. We offer some simplified proofs of known results on self-testing, and also prove some new results.
Cite as

Carl A. Miller and Yaoyun Shi. Optimal Robust Self-Testing by Binary Nonlocal XOR Games. In 8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 22, pp. 254-262, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

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@InProceedings{miller_et_al:LIPIcs.TQC.2013.254,
  author =	{Miller, Carl A. and Shi, Yaoyun},
  title =	{{Optimal Robust Self-Testing by Binary Nonlocal XOR Games}},
  booktitle =	{8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013)},
  pages =	{254--262},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-55-2},
  ISSN =	{1868-8969},
  year =	{2013},
  volume =	{22},
  editor =	{Severini, Simone and Brandao, Fernando},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TQC.2013.254},
  URN =		{urn:nbn:de:0030-drops-43253},
  doi =		{10.4230/LIPIcs.TQC.2013.254},
  annote =	{Keywords: self-testing, quantum cryptography, random number generation, nonlocal games}
}
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