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PreprintarXiv licencearXiv

Efficient Quantum Optimization via Dissipative False Vacuum Decay

Abstract

Efficient quantum solvers for computationally hard problems are highly desirable for near-term quantum platforms. Here, we propose a cavity-based dissipative quantum solver for a class of NP-hard combinatorial optimization problems encoded in atomic-spin Hamiltonians with a few discrete single-spin-flip transition energies. We show that the cavity-based quantum solver exploits dissipative false-vacuum decay in configuration space to facilitate escape from metastable local minima in rugged energy landscapes. Numerical studies of MaxCut and Maximum Independent Set identify favorable parameter regions for ground-state preparation. Based on the finite-size scalings of the median mixing time and instance-averaged ground-state preparation probability, we estimate time complexities for our solver that are more favorable than those of standard Grover search. These results highlight cavity dissipation as a controllable resource for quantum optimization.

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BibTeX
@misc{huang2026efficient,
  title = {{Efficient Quantum Optimization via Dissipative False Vacuum Decay}},
  author = {Zhi-Hao Huang and Tian-Mu Hu and Shuaifan Cao and Ye Lu and Xiaopeng Li},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.39266},
  eprint = {2610.39266},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.39266},
}
RIS
TY  - UNPB
TI  - Efficient Quantum Optimization via Dissipative False Vacuum Decay
AU  - Zhi-Hao Huang
AU  - Tian-Mu Hu
AU  - Shuaifan Cao
AU  - Ye Lu
AU  - Xiaopeng Li
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.39266
UR  - https://arxiv.org/abs/2610.39266
AB  - Efficient quantum solvers for computationally hard problems are highly desirable for near-term quantum platforms. Here, we propose a cavity-based dissipative quantum solver for a class of NP-hard combinatorial optimization problems encoded in atomic-spin Hamiltonians with a few discrete single-spin-flip transition energies. We show that the cavity-based quantum solver exploits dissipative false-vacuum decay in configuration space to facilitate escape from metastable local minima in rugged energy landscapes. Numerical studies of MaxCut and Maximum Independent Set identify favorable parameter regions for ground-state preparation. Based on the finite-size scalings of the median mixing time and instance-averaged ground-state preparation probability, we estimate time complexities for our solver that are more favorable than those of standard Grover search. These results highlight cavity dissipation as a controllable resource for quantum optimization.
ER  -