Classical Nonlinear Systems

This repository contains code to implement the classical (construction of the Hermitian form of the Fokker-Planck operator matrix) and quantum (QPE + VQE) subroutines for the paper Steady-State Statistics of Classical Nonlinear Dynamical Systems from Noisy Intermediate-Scale Quantum Devices.

Link to the paper: arXiv.2409.06036.

Authors: Y. M. Lokare, D. Wei, L. Chan, B. M. Rubenstein, and J. B. Marston.

The following versions of Qiskit software are needed to run numerical simulations:

• qiskit: 1.1.1
• qiskit-aer: 0.12.0
• qiskit-ibm-runtime: 0.25.0
• scikit-quant: 0.8.0
• qiskit-algorithms: 0.3.0

We use the poetry package management system to manage all package dependencies.

Citation

Cite this paper as follows:

@misc{lokare2024steadystatestatisticsclassicalnonlinear,
      title={Steady-State Statistics of Classical Nonlinear Dynamical Systems from Noisy Intermediate-Scale Quantum Devices}, 
      author={Yash M. Lokare and Dingding Wei and Lucas Chan and Brenda M. Rubenstein and J. B. Marston},
      year={2024},
      eprint={2409.06036},
      archivePrefix={arXiv},
      primaryClass={quant-ph},
      url={https://arxiv.org/abs/2409.06036}, 
}