Topological Quantum Computation by Manipulating Quantum Tunneling Effect of the Toric Codes

TL;DR

This paper proposes a novel approach to topological quantum computation by controlling quantum tunneling effects in the Wen-Plaquette model, offering an alternative to anyon braiding for fault-tolerant quantum computing.

Contribution

It introduces a new method for topological quantum computation based on tuning quantum tunneling in the Wen-Plaquette model, expanding the toolkit beyond anyon braiding.

Findings

Demonstrates control of quantum tunneling in the Wen-Plaquette model

Proposes a measurement scheme for topological quantum computation

Discusses realization of the model in cold atom systems

Abstract

Quantum computers are predicted to utilize quantum states to perform memory and to process tasks far faster than those of conventional classical computers. In this paper we show a new road towards building fault tolerance quantum computer by tuning quantum tunneling effect of the degenerate quantum states in topological order, instead of by braiding anyons. Using a designer Hamiltonian - the Wen-Plaquette model as an example, we study its quantum tunneling effect of the toric codes and show how to control the toric code to realize topological quantum computation (TQC). In particular, we give a proposal to the measurement of TQC. In the end the realization of the Wen-Plaquette model in cold atoms is discussed.