# Circuit quantization in the presence of time-dependent external flux

## TL;DR

This paper generalizes the circuit quantization process to accurately include and handle the effects of time-dependent external magnetic flux, addressing limitations of the standard static-flux assumption.

## Contribution

The authors develop a generalized circuit quantization method that consistently incorporates time-dependent external flux, resolving inconsistencies in previous approaches.

## Key findings

- Provides a new framework for quantizing circuits with dynamic flux
- Ensures physical consistency in models with flux modulation or noise
- Facilitates more accurate quantum circuit simulations

## Abstract

Circuit quantization links a physical circuit to its corresponding quantum Hamiltonian. The standard quantization procedure generally assumes any external magnetic flux to be static. Time dependence naturally arises, however, when flux is modulated or when flux noise is considered. In this case, application of the existing quantization procedure can lead to inconsistencies. To resolve these, we generalize circuit quantization to incorporate time-dependent external flux.