Creation of quantum error correcting codes in the ultrastrong coupling regime

TL;DR

This paper proposes a method to create large quantum error-correcting codes using superconducting circuits in the ultrastrong coupling regime, enabling rapid entanglement and practical implementation with current technology.

Contribution

It introduces a novel approach to generate quantum graph codes via ultrastrong coupling in superconducting circuits, including numerical simulations of key codes.

Findings

Rapid creation of cluster states within nanoseconds

Numerical simulation of five-qubit and Steane codes

Identification of optimal conditions for implementation

Abstract

We propose to construct large quantum graph codes by means of superconducting circuits working at the ultrastrong coupling regime. In this physical scenario, we are able to create a cluster state between any pair of qubits within a fraction of a nanosecond. To exemplify our proposal, creation of the five-qubit and Steane codes is numerically simulated. We also provide optimal operating conditions with which the graph codes can be realized with state-of-the-art superconducting technologies.