The nature and correction of diabatic errors in anyon braiding

Christina Knapp, Michael Zaletel, Dong E. Liu, Meng Cheng, Parsa Bonderson, Chetan Nayak

Research output: Contribution to journalArticle

27 Scopus citations

Abstract

Topological phases of matter are a potential platform for the storage and processing of quantum information with intrinsic error rates that decrease exponentially with inverse temperature and with the length scales of the system, such as the distance between quasiparticles. However, it is less well understood how error rates depend on the speed with which non-Abelian quasiparticles are braided. In general, diabatic corrections to the holonomy or Berry's matrix vanish at least inversely with the length of time for the braid, with faster decay occurring as the time dependence is made smoother. We show that such corrections will not affect quantum information encoded in topological degrees of freedom, unless they involve the creation of topologically nontrivial quasiparticles. Moreover, we show how measurements that detect unintentionally created quasiparticles can be used to control this source of error.

Original languageEnglish (US)
Number of pages1
JournalPhysical Review X
Volume6
Issue number4
DOIs
StatePublished - Jan 1 2016

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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