Surrogate optimization of variational quantum circuits
Variational quantum eigensolvers are touted as a near-term algorithm capable of impacting many applications. However, the potential has not yet been realized, with few claims of quantum advantage and high resource estimates, especially due to the need for optimization in the presence of noise. Finding algorithms and methods to improve convergence is important to accelerate the capabilities of near-term hardware for variational quantum eigensolver or more broad applications of hybrid methods in which optimization is required. To this goal, we look to use modern approaches developed in circuit simulations and stochastic classical optimization, which can be combined to form a surrogate optimization approach to quantum circuits. Using an approximate (classical central processing unit/graphical processing unit) state vector simulator as a surrogate model, we efficiently calculate an approximate Hessian, which is passed as input for a quantum processing unit or exact circuit simulator. This method will lend itself well to parallelization across quantum processing units. We demonstrate the capabilities of such an approach with and without sampling noise and a proof-of-principle demonstration on a quantum processing unit utilizing 40 qubits.
Authors
- Farshud Sorourifar (ORCID: https://orcid.org/0000-0002-1611-8658)
- David E. Bernal (ORCID: https://orcid.org/0000-0002-8308-5016)
- Filip B. Maciejewski (ORCID: https://orcid.org/0000-0002-8503-1193)
- Andy C. Y. Li (ORCID: https://orcid.org/0000-0003-4542-3739)
- Erik Gustafson (ORCID: https://orcid.org/0000-0001-7217-5692)
- J. Wayne Mullinax (ORCID: https://orcid.org/0000-0001-9402-9442)
- Diana Chamaki
- Juha Tiihonen (ORCID: https://orcid.org/0000-0003-2107-911X)
- Nicolas P. D. Sawaya (ORCID: https://orcid.org/0000-0001-8510-8480)
- Jaron T. Krogel (ORCID: https://orcid.org/0000-0002-1859-181X)
- Norm M. Tubman (ORCID: https://orcid.org/0000-0002-9577-8485)
Institutions
- Ames Research Center (US)
- Oak Ridge National Laboratory (US)
- Fermi National Accelerator Laboratory (US)
- Universities Space Research Association (US)
- Davidson College (US)
- Research Institute for Advanced Computer Science (US)
- KBR (United States) (US)
- Purdue University West Lafayette (US)
- Catholic University of the Maule (CL)
- Center for NanoScience (DE)
- The Ohio State University (US)
- Columbia University (US)
- University of Jyväskylä (FI)
Publication Details
- Journal
- Proceedings of the National Academy of Sciences
- Published
- 2025-09-02
- DOI
- https://doi.org/10.1073/pnas.2408530122
- Citations
- 2
- Primary Topic
- Quantum Computing Algorithms and Architecture
- Type
- article
- Field-Weighted Citation Impact
- 4.96
Funders
- U.S. Department of Energy
- Ames Research Center