Tunneling Qubit Operation on a Protected Josephson Junction Array

TL;DR

This paper presents a method for protected quantum computation using a topologically protected Josephson junction array, enabling qubit encoding, manipulation, and gate operations with robustness against certain errors.

Contribution

It introduces a novel topologically protected qubit encoding scheme in a hexagon Josephson junction array and demonstrates how to perform quantum operations within this system.

Findings

Qubits encoded in the array are topologically protected.

Single qubit and basic gate operations are feasible in this setup.

Topological degeneracy can be tuned via flux adjustments.

Abstract

We discuss a protected quantum computation process based on a hexagon Josephson junction array. Qubits are encoded in the punctured array, which is topologically protected. The degeneracy is related to the number of holes. The topological degeneracy is lightly shifted by tuning the flux through specific hexagons. We also show how to perform single qubit operation and basic quantum gate operations in this system.