Digital quantum state preparation by nucleation

@misc{sadia2026digital,
  title = {{Digital quantum state preparation by nucleation}},
  author = {Jean Paul Sadia and Morten Hjorth-Jensen and Dean Lee and Ryan LaRose},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.37527},
  eprint = {2609.37527},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.37527},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Digital quantum state preparation by nucleation
AU  - Jean Paul Sadia
AU  - Morten Hjorth-Jensen
AU  - Dean Lee
AU  - Ryan LaRose
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.37527
UR  - https://arxiv.org/abs/2609.37527
AB  - Quantum state preparation is crucial for quantum algorithms, and improved state preparation methods can reduce resource requirements by orders of magnitude. In this work, we introduce a state preparation method for lattice Hamiltonians on digital quantum computers inspired by nucleation. In our method, the exact ground state of a small lattice Hamiltonian is prepared in a quantum circuit, then a series of growth stages are performed via Trotterized adiabatic evolution to increase the size of the lattice to the desired model. Using the adiabatic theorem and Trotter error bounds, we provide sufficient conditions on the total evolution time and number of Trotter steps required for nucleation to prepare an initial state with desired fidelity. In addition, we introduce optimized nucleation which considers variational optimization on top of the nucleation structure. For a two-dimensional Ising model, we show that optimized nucleation can outperform a current leading method for state preparation on digital quantum computers.
ER  -