Interferometric Versus Projective Measurement of Anyons

Levaillant, Claire; Freedman, Michael

doi:10.4230/LIPIcs.TQC.2015.245

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Interferometric Versus Projective Measurement of Anyons

Authors Claire Levaillant, Michael Freedman

Part of: Volume: 10th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2015)
Part of: Series: Leibniz International Proceedings in Informatics (LIPIcs)
Part of: Conference: Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC)
License: Creative Commons Attribution 3.0 Unported license
Publication Date: 2015-11-04

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DOI: 10.4230/LIPIcs.TQC.2015.245
URN: urn:nbn:de:0030-drops-55600

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Keywords

anyons
measurement
interferometry
physics

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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.

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Claire Levaillant and Michael Freedman. Interferometric Versus Projective Measurement of Anyons. In 10th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 44, pp. 245-249, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015) https://doi.org/10.4230/LIPIcs.TQC.2015.245

Author Details

Claire Levaillant

Michael Freedman

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