License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.TQC.2013.254
URN: urn:nbn:de:0030-drops-43253
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2013/4325/
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Miller, Carl A. ; Shi, Yaoyun

Optimal Robust Self-Testing by Binary Nonlocal XOR Games

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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.

BibTeX - Entry

@InProceedings{miller_et_al:LIPIcs:2013:4325,
  author =	{Carl A. Miller and Yaoyun Shi},
  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 =	{Simone Severini and Fernando Brandao},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2013/4325},
  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}
}

Keywords: self-testing, quantum cryptography, random number generation, nonlocal games
Collection: 8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013)
Issue Date: 2013
Date of publication: 13.11.2013

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