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GQSP-Based Hamiltonian Simulation for the Hubbard-Holstein Model — Paper Implementation Challenge #1524

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GQSP-Based Hamiltonian Simulation for the Hubbard-Holstein Model — Paper Implementation Challenge #1524

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# GQSP-Based Hamiltonian Simulation for the Hubbard-Holstein Model

**Author:** @achebiyam

First application of Generalized Quantum Signal Processing (GQSP) to an
electron-phonon coupled system. Implements GQSP-based Hamiltonian simulation
of the Hubbard-Holstein model on the Classiq platform, with resource comparison
against Suzuki-Trotter.

## Reference Papers
- D. Motlagh and N. Wiebe, "Generalized Quantum Signal Processing", PRX Quantum 5, 020368 (2024)
- C. F. Kane et al., "Block encoding bosons by signal processing", Quantum 9, 1747 (2025)
- M. M. Denner et al., "A hybrid quantum-classical method for electron-phonon systems", Commun. Phys. 6, 233 (2023)

## Contents
- `hubbard_holstein_gqsp.ipynb` — Main notebook with full implementation and results
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