Work

Protocols for Creating Anyons and Defects via Gauging

Year: 2025

Type: article

Abstract: Creating and manipulating anyons and symmetry defects in topological phases, especially those with a non-Abelian character, constitutes a primitive for topological quantum computation. We provide a physical protocol for implementing the ribbon operators of non-Abelian anyons and symmetry defects. We utilize dualities, in particular, the Kramers-Wannier or gauging map, which have previously been used to construct topologically ordered ground states by relating them to simpler states. In this Letter, ribbon operators are implemented by applying a gauging procedure to a lower-dimensional region of such states. This protocol uses sequential unitary circuits or, in certain cases, constant-depth adaptive circuits. We showcase this for anyons and defects in the Z_{3} toric code and S_{3} quantum double. The general applicability of our method is demonstrated by deriving unitary expressions for ribbon operators of various (twisted) quantum doubles.

Source: Physical Review Letters

DOI: 10.1103/q2c6-nd6r

Authors: Anasuya Lyons, Chiu Fan Bowen Lo, Nathanan Tantivasadakarn, Ashvin Vishwanath, Ruben Verresen

Institutions: Harvard University, California Institute of Technology, University of Chicago

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green