Dynamical Anyon Generation in Kitaev Honeycomb Non-Abelian Spin Liquids
Abstract
Relativistic Mott insulators known as "Kitaev materials" potentially realize spin liquids hosting non-Abelian anyons. Motivated by fault-tolerant quantum-computing applications in this setting, we introduce a dynamical anyon-generation protocol that exploits universal edge physics. The setup features holes in the spin liquid, which define energetically cheap locations for non-Abelian anyons, connected by a narrow bridge that can be tuned between spin liquid and topologically trivial phases. We show that modulating the bridge from trivial to spin liquid over intermediate time scales—quantified by analytics and extensive simulations—deposits non-Abelian anyons into the holes with O(1) probability. The required bridge manipulations can be implemented by integrating the Kitaev material into magnetic tunnel junction arrays that engender locally tunable exchange fields. Combined with existing readout strategies, our protocol reveals a path to topological qubit experiments in Kitaev materials at zero applied magnetic field.
Additional Information
© 2022 American Physical Society. Received 6 December 2021; accepted 22 June 2022; published 11 July 2022. It is a pleasure to thank Dave Aasen, Arnab Banerjee, Gabor Halasz, Erik Henriksen, Kai Klocke, Joel Moore, and Ady Stern for stimulating conversations. This work was supported by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Quantum Science Center; the Office of Naval Research under Grant No. N00014-20-1-2308 (KSB); the Army Research Office under Grant No. W911NF-17-1-0323; the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant No. GBMF1250; and the Walter Burke Institute for Theoretical Physics at Caltech.Attached Files
Published - PhysRevLett.129.037201.pdf
Submitted - 2111.09325.pdf
Supplemental Material - SM.pdf
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Additional details
- Eprint ID
- 112425
- Resolver ID
- CaltechAUTHORS:20211214-190046323
- Department of Energy (DOE)
- N00014-20-1-2308
- Office of Naval Research (ONR)
- W911NF-17-1-0323
- Army Research Office (ARO)
- Institute for Quantum Information and Matter (IQIM)
- NSF Physics Frontiers Center
- GBMF1250
- Gordon and Betty Moore Foundation
- Walter Burke Institute for Theoretical Physics, Caltech
- Created
-
2021-12-15Created from EPrint's datestamp field
- Updated
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2022-07-15Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics