Proposal for reading out anyon qubits in non-Abelian ν=12 5 quantum Hall state

Suk Bum Chung, Michael Stone

Research output: Contribution to journalArticle

Abstract

To detect non-Abelian statistics in the ν=12 5 quantum Hall state through interferometry, we apply an analysis similar to the ones proposed for the non-Abelian ν=5 2 quantum Hall state. The result is that the amplitude of the Aharonov-Bohm oscillation of this interference is dependent on the internal states of quasiholes, but, in contrast to the ν=5 2 quantum Hall state, independent of the number of quasiholes. However, if the quasiholes are in a superposition state, it is necessary for the interferometer to have certain additional features to obtain the coefficients.

Original languageEnglish (US)
Article number245311
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume73
Issue number24
DOIs
StatePublished - Jun 20 2006

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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