Twisted Interferometry

TL;DR

This paper introduces twisted anyonic interferometers that enable new quantum operations, such as generating magic states for Ising anyons, with potential applications in topological quantum computing.

Contribution

It proposes and analyzes twisted interferometers that allow for operations beyond standard braiding, including the creation of magic states in topological systems.

Findings

Twisted interferometers can generate magic states for Ising anyons.

They provide operational advantages over untwisted interferometry.

Implementation challenges are discussed for various physical systems.

Abstract

We propose and analyze the effect of anyonic interferometers that are designed such that the probe anyons traveling in a given path through the interferometer twist or braid around each other. These "twisted" interferometers are found to provide operational utility that may not be available from anyon braiding operations and standard (untwisted) anyonic interferometry measurements. In particular, it enables Ising anyons to generate "magic states," which can be used to implement pi/8-phase gates. We consider the possible implementations of such twisted interferometers in quantum Hall systems, 2D p_x + i p_y superconductors, and 2D Majorana heterostructures, and discuss obstacles and challenges associated with implementation.