Andreev levels as a first approach to quantum computing with high Tc superconductors

TL;DR

This paper explores the potential of high Tc superconductors for quantum computing by analyzing Andreev bound states, establishing a formal link to existing low temperature superconductor qubits.

Contribution

It introduces a theoretical framework connecting Andreev levels in high Tc superconductors to known qubit models based on low temperature superconductors.

Findings

Formal correspondence between Andreev levels and Mathieu levels in Cooper Pair Box qubits

Potential for high Tc superconductors to be used in quantum computing platforms

Foundation for further experimental investigation of HTS-based qubits

Abstract

A computing platform based on low temperature superconductors (LTS) has already been proven both theoretically and experimentally. However, qubits based on high Tc superconductors (HTS) are not yet well understood. Here we study the Andreev bounds states (ABS) in the later materials in order to show that a formal correspondence exists between the Mathieu levels in a Cooper Pair Box qubit built with LTS and the Andreev levels in HTS junctions.