YashLokare02 / ClassicalNonlinearSystems

This repository contains code to implement the classical (construction of the Hermitian form of the Fokker-Planck operator matrix) and quantum (QPE + VQSVD) subroutines. Additionally, it contains: 1) results for the steady-state expectation values of the FPE operator and 2) results for <x^2>.

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Classical Nonlinear Systems

License: MIT Qiskit Static Badge

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

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-terra: 0.24.0
  • qiskit-aer: 0.12.0
  • qiskit-ibmq-provider: 0.20.2
  • qiskit: 0.43.0

Version of Paddle Quantum required to run numerical simulations: 2.4.0; refer PaddleQuantum for more details.

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

Note: The DD analysis and/or results contained in this repository are irrelevant for the present study.

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This repository contains code to implement the classical (construction of the Hermitian form of the Fokker-Planck operator matrix) and quantum (QPE + VQSVD) subroutines. Additionally, it contains: 1) results for the steady-state expectation values of the FPE operator and 2) results for <x^2>.

License:MIT License


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