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Fibonacci anyons from Abelian bilayer quantum Hall states
Abolhassan Vaezi1, Maissam Barkeshli2
1Department of Physics, Cornell University, Ithaca, New York 14850, USA.
Physical Review Letters
|December 20, 2014
Summary
Researchers explore a bilayer fractional quantum Hall system, finding that interlayer tunneling can create exotic non-Abelian states. These states, featuring Fibonacci anyons, are crucial for universal topological quantum computation.
Area of Science:
- Condensed Matter Physics
- Quantum Information Science
Background:
- Non-Abelian statistics are key for topological quantum computation (TQC).
- Existing proposals often lack the necessary power for universal TQC.
- Fractional quantum Hall systems offer a platform for realizing exotic quantum states.
Purpose of the Study:
- To investigate the potential of a bilayer fractional quantum Hall system for achieving universal TQC.
- To identify conditions and mechanisms for generating powerful non-Abelian statistics.
Main Methods:
- Analysis of a bilayer fractional quantum Hall system with 1/3 Laughlin states.
- Utilizing interlayer tunneling as a control parameter.
- Employing thin torus limits, effective field theories, and coupled wire constructions.
Main Results:
- Interlayer tunneling induces a transition to a novel non-Abelian state.
- This state hosts Fibonacci anyons, enabling universal TQC.
- The transition can be continuous, with a persistent charge gap and a closing neutral gap.
Conclusions:
- A simple bilayer system can host exotic non-Abelian states suitable for universal TQC.
- Experimental realization at ν=2/3 in bilayers is plausible and may not have been definitively ruled out.
- This work opens new avenues for building fault-tolerant quantum computers.
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