Anyonic Topological Quantum Computation and the Virtual Braid Group

TL;DR

This paper develops a recoupling theory for virtual braided trees, enabling the integration of swap gates into anyonic quantum computing models, which could enhance the design of topological quantum computers.

Contribution

It introduces a novel recoupling theory for virtual braided trees, facilitating the inclusion of swap gates in anyonic quantum computation models.

Findings

Recoupling theory for virtual braided trees established.

Swap gates incorporated into anyonic models.

Potential improvements in topological quantum computing design.

Abstract

We introduce a recoupling theory for virtual braided trees. This recoupling theory can be utilized to incorporate swap gates into anyonic models of quantum computation.