Decoherence of Anyonic Charge in Interferometry Measurements

Abstract

We examine interferometric measurements of the topological charge of (non-Abelian) anyons. The target's topological charge is measured from its effect on the interference of probe particles sent through the interferometer. We find that superpositions of distinct anyonic charges a and a' in the target decohere (exponentially in the number of probes particles used) when the probes have nontrivial monodromy with the charges that may be fused with a to give a'.

5 pages, 1 figure; v2: reference added, example added, clarifying changes made to conform to the version published in PRL

References in corpus (13)

• Fault-tolerant quantum computation by anyons
• Anyons in an exactly solved model and beyond
• An Electronic Mach-Zehnder Interferometer
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• $2n$ Quasihole States Realize $2^{n-1}$-Dimensional Spinor Braiding Statistics in Paired Quantum Hall States
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
• Exact Quantization of Even-Denominator Fractional Quantum Hall State at $\nu$=5/2 Landau Level Filling Factor
• A Chern-Simons Effective Field Theory for the Pfaffian Quantum Hall State
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• Observation of Aharonov-Bohm Superperiod in a Laughlin Quasiparticle Interferometer
• Probing Non-Abelian Statistics with QuasiParticle Interferometry
• Inequivalent classes of interference experiments with non-abelian anyons

Cited by in corpus (18)

• Non-Abelian Anyons and Topological Quantum Computation
• Symmetry Fractionalization, Defects, and Gauging of Topological Phases
• Anyons and the quantum Hall effect - a pedagogical review
• Condensate induced transitions between topologically ordered phases
• Measurement-Only Topological Quantum Computation
• Majorana box qubits
• Roadmap to Majorana surface codes
• Diagrammatics for Bose condensation in anyon theories
• Interferometry of non-Abelian Anyons
• The non-Abelian Interferometer
• Measurement-Only Topological Quantum Computation via Anyonic Interferometry
• Fractional Statistics and the Butterfly Effect
• Universal Gates via Fusion and Measurement Operations on SU$(2{)}_4$ Anyons
• Fermion Condensation and Gapped Domain Walls in Topological Orders
• Gapped boundaries of (3+1)d topological orders
• Quantum teleportation using Ising anyons
• Twisted Interferometry
• Twisted Interferometry: the topological perspective