Measurement-Only Topological Quantum Computation via Anyonic Interferometry

TL;DR

This paper presents a measurement-only approach to topological quantum computation using anyonic interferometry, eliminating the need for physical braiding of anyons, and discusses implementation in fractional quantum Hall systems.

Contribution

It introduces a measurement-only protocol for topological quantum computation using projective and interferometric measurements, enabling anyonic teleportation and braiding without physical movement of anyons.

Findings

Demonstrates how to achieve anyonic teleportation with forced measurements.

Shows how topological charge measurements can generate braiding transformations.

Discusses implementation in fractional quantum Hall systems.

Abstract

We describe measurement-only topological quantum computation using both projective and interferometrical measurement of topological charge. We demonstrate how anyonic teleportation can be achieved using "forced measurement" protocols for both types of measurement. Using this, it is shown how topological charge measurements can be used to generate the braiding transformations used in topological quantum computation, and hence that the physical transportation of computational anyons is unnecessary. We give a detailed discussion of the anyonics for implementation of topological quantum computation (particularly, using the measurement-only approach) in fractional quantum Hall systems.