Qubit based on 0-$\pi$ Josephson junctions

TL;DR

This paper explores the static properties and potential qubit applications of 0-$\\pi$ Josephson junctions, analyzing their energy landscape and dynamics to inform design of superconducting quantum circuits.

Contribution

It provides a theoretical analysis of 0-$\pi$ Josephson junctions using the sine-Gordon model, highlighting their suitability for robust, scalable qubit implementations.

Findings

Analysis of phase evolution and energy landscape for 0-$\pi$ junctions

Models for phase, flux, and charge qubit designs

Insights into qubit operation and readout mechanisms

Abstract

We investigate the static properties of 0-$\pi$ Josephson junctions, with particular emphasis on their application in superconducting quantum circuits. Using a theoretical framework based on the sine-Gordon equation, we analyze the phase evolution for 0-$\pi$ junctions under various boundary and excitation conditions. These junctions, characterized by spatially varying phase shifts, offer promising configurations for qubit implementations due to their intrinsic symmetry and potential robustness against decoherence. We explore the energy landscape, quantized levels, and switching dynamics relevant for qubit state manipulation. Additionally, we present models for phase, flux, and charge qubit designs, emphasizing their operational principles and readout mechanisms. This work provides insights into the engineering of Josephson-based qubits and supports their continued development as scalable components for quantum information processing.