Advantage of warm starts for electron–phonon systems on quantum computers

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Abstract
Simulating electron–phonon interactions on quantum computers remains challenging, with most algorithmic effort focused on Hamiltonian simulation and circuit optimization. In this work, we study the single-electron Holstein model and propose an initial-state ansatz that substantially enhances ground-state overlap in the strong-coupling regime, thereby reducing the number of iterations required in standard quantum phase estimation. We further show that this ansatz can be implemented efficiently and yields an exponential reduction in overall circuit costs relative to conventional initial guesses. Our results highlight the practical value of incorporating physical intuition into initial state preparation for electron–phonon coupled systems.
Funding Information
  • Canada First Research Excellence Fund
  • Natural Sciences and Engineering Research Council of Canada
  • Natural Sciences and Engineering Research Council of Canada (PGS D -587455 -2024)
  • Max Planck-UBC-UTokyo Center
  • Humbolt Foundation
  • Quantum Valley Lower Saxony

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