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PreprintCC BY 4.0arXiv

Driven-Dissipative Ground State Preparation: Mixing Time and Randomness

  • Paul Cazeaux
  • Marius Junge
  • Diyi Liu
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Abstract

Dissipative protocols offer a route to ground state preparation that does not require a large initial overlap with the ground state. To move beyond time independent Lindbladians and randomized Lindbladians sampled from a fixed distribution, we study driven-dissipative protocols in which the generator varies over time. Our construction uses a family of randomized Lindbladians whose jump operators are obtained by averaging the unitary evolution of random matrices under a fixed target Hamiltonian. We show that empirical averages of these Lindbladians drive arbitrary initial density matrices to low energy states. The resulting mixing time bounds depend on the Hamiltonian only through its eigenvalue distribution and remain valid even for cold starts.

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Cite

BibTeXRIS
BibTeX
@misc{cazeaux2026drivendissipative,
  title = {{Driven-Dissipative Ground State Preparation: Mixing Time and Randomness}},
  author = {Paul Cazeaux and Marius Junge and Diyi Liu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03860},
  eprint = {2610.03860},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03860},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Driven-Dissipative Ground State Preparation: Mixing Time and Randomness
AU  - Paul Cazeaux
AU  - Marius Junge
AU  - Diyi Liu
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.03860
UR  - https://arxiv.org/abs/2610.03860
AB  - Dissipative protocols offer a route to ground state preparation that does not require a large initial overlap with the ground state. To move beyond time independent Lindbladians and randomized Lindbladians sampled from a fixed distribution, we study driven-dissipative protocols in which the generator varies over time. Our construction uses a family of randomized Lindbladians whose jump operators are obtained by averaging the unitary evolution of random matrices under a fixed target Hamiltonian. We show that empirical averages of these Lindbladians drive arbitrary initial density matrices to low energy states. The resulting mixing time bounds depend on the Hamiltonian only through its eigenvalue distribution and remain valid even for cold starts.
ER  -