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.2015.245
URN: urn:nbn:de:0030-drops-55600
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/5560/
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Levaillant, Claire ; Freedman, Michael

Interferometric Versus Projective Measurement of Anyons

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Abstract

Two distinct methods for measuring topological charge in a nonabelian anyonic system have been discussed in the literature: projective measurement of a single point-like quasiparticle and interferometric measurement of the total topological charge of a group of quasiparticles. Projective measurement by definition is only applied near a point and will project to a topological charge sector near that point. Thus, if it is to be applied to a group of anyons to project to a total charge, then the anyons must first be fused one by one to obtain a single anyon carrying the collective charge. We show that interferometric measurement is strictly stronger: Any protocol involving projective measurement can be simulated at low overhead by another protocol involving only interferometric measurement.

BibTeX - Entry

@InProceedings{levaillant_et_al:LIPIcs:2015:5560,
  author =	{Claire Levaillant and Michael Freedman},
  title =	{{Interferometric Versus Projective Measurement of Anyons}},
  booktitle =	{10th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2015)},
  pages =	{245--249},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-96-5},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{44},
  editor =	{Salman Beigi and Robert Koenig},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5560},
  URN =		{urn:nbn:de:0030-drops-55600},
  doi =		{10.4230/LIPIcs.TQC.2015.245},
  annote =	{Keywords: anyons, measurement, interferometry, physics}
}

Keywords: anyons, measurement, interferometry, physics
Collection: 10th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2015)
Issue Date: 2015
Date of publication: 04.11.2015

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