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  • Open Access

Measuring topological order

Parsa Bonderson

  • Microsoft Station Q, Santa Barbara, California 93106-6105, USA

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Phys. Rev. Research 3, 033110 – Published 2 August, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.033110

Abstract

The topological order of a (2+1)D topological phase of matter is characterized by its chiral central charge and a unitary modular tensor category that describes the universal fusion and braiding properties of its anyonic quasiparticles. I discuss the topologically invariant quantities associated with these and identify ones that are useful for determining the topological order. I propose a variety of physical experiments that probe these quantities and detail the relation of the measured data to the topological invariants.

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Phys. Rev. Research 3, 033110– Published 2 August, 2021
  • Received 30 March 2021
  • Accepted 14 July 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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