Transport in the Laughlin quasiparticle interferometer: Evidence for topological protection in an anyonic qubit

Abstract

We report experiments on temperature and Hall voltage bias dependence of the superperiodic conductance oscillations in the novel Laughlin quasiparticle interferometer, where quasiparticles of the 1/3 fractional quantum Hall fluid execute a closed path around an island of the 2/5 fluid. The amplitude of the oscillations fits well the quantum-coherent thermal dephasing dependence predicted for a two point-contact chiral edge channel interferometer in the full experimental temperature range 10.2<T<141 mK. The temperature dependence observed in the interferometer is clearly distinct from the behavior in single-particle resonant tunneling and Coulomb blockade devices. The 5h/e flux superperiod, originating in the anyonic statistical interaction of Laughlin quasiparticles, persists to a relatively high T~140 mK. This temperature is only an order of magnitude less than the 2/5 quantum Hall gap. Such protection of quantum logic by the topological order of fractional quantum Hall fluids is expected to facilitate fault-tolerant quantum computation with anyons.

13 pages, 10 figures

References in corpus (21)

• Fault-tolerant quantum computation by anyons
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• Resonant Tunneling Between Quantum Hall Edge States
• Reconstruction of Fractional Quantum Hall Edges
• Observation of Aharonov-Bohm Superperiod in a Laughlin Quasiparticle Interferometer
• Universal structure of the edge states of the fractional quantum Hall states
• Tunneling into the edge of a compressible Quantum Hall state
• Aharonov-Bohm electron interferometer in the integer quantum Hall regime
• Evidence for non-linear quasiparticle tunneling between fractional quantum Hall edges
• Nonuniversal behavior of scattering between fractional quantum Hall edges
• Aharonov-Bohm effect in the chiral Luttinger liquid
• Formation of an Edge Striped Phase in Fractional Quantum Hall Systems
• Energetics of Quantum Antidot States in Quantum Hall Regime
• Dynamics of Dissipative Quantum Hall Edges
• Fractional-quantum-Hall edge electrons and Fermi statistics
• Quantum computation with quasiparticles of the Fractional Quantum Hall Effect
• Coulomb interactions and delocalization in quantum Hall constrictions
• Edge State Tunneling in a Split Hall Bar Model
• Flux period scaling in the Laughlin quasiparticle interferometer

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• Shot Noise in Anyonic Mach-Zehnder Interferometer
• Quantum transport in electron Fabry-Perot interferometers
• Edge-mode velocities and thermal coherence of quantum Hall interferometers
• Electron interactions in an antidot in the integer quantum Hall regime
• Theory of fractional quantum Hall interferometers
• Superperiods and quantum statistics of Laughlin quasiparticles
• Genetic braid optimization: A heuristic approach to compute quasiparticle braids
• Superperiods in interference of e/3 Laughlin quasiparticles encircling filling 2/5 fractional quantum Hall island
• Quasi-particle propagation in quantum Hall systems
• Experimental realization of Laughlin quasiparticle interferometers
• Low-field quantum Hall transport in an electron Fabry-Perot interferometer: Determination of constriction filling vs front-gate voltage
• Edge mode velocities in the quantum Hall effect from a dc measurement
• Fractional quantum Hall edge polaritons
• Screening theory based modeling of the quantum Hall based quasi-particle interferometers defined at quantum-dots