# Nonlinear LC Circuit with Josephson Junction

## TL;DR

This paper presents a unified classical circuit and control theory approach to analyze a nonlinear LC circuit with a Josephson junction, highlighting its dynamics and potential applications in quantum computing.

## Contribution

It introduces a novel unified analytical framework combining classical circuit and control theories for Josephson junction-based circuits.

## Key findings

- Demonstrates different dynamic behaviors through simulations
- Provides insights into parameter and input effects on circuit dynamics
- Highlights relevance to superconducting qubits in quantum computing

## Abstract

This paper illustrates a unified approach, classical circuit and control theories, to study a nonlinear LC circuit with a current dependent inductance as model of the Josephson junction, the mathematical analysis is complemented with simulations to visualize different dynamics under changes in parameters and inputs. Currently, in quantum computing, superconducting circuits with Josephson junctions are used as the building blocks of quantum bits or qubits.