Iterative optimization of hard spin glass problems with high frequency AC drives (Part I)

ORAL

Abstract

Performance improvements of quantum algorithms such as quantum annealing, adiabatic quantum computing and the quantum approximate optimization algorithm over smart classical algorithms are often marginal, particularly when concerns such as the overhead of computing quantum expectation values for variational circuits, and the immense prefactor disadvantages quantum hardware exhibits compared to parallel silicon, are taken into account. In light of these challenges, we introduce a new quantum algorithm called IST-SAT (Iterative-Symphonic Tunneling-Boolean Satisfiability Problem) which circumvents computing gradients and parameter optimization. IST-SAT is a novel heuristic update to high-depth QAOA that simulates evolution under high-frequency drives tuned to the problem graph, and iteratively updates the applied Hamiltonian using bitstrings from previous shots. In this first talk, we introduce the IST-SAT algorithm and sketch its mechanism and workflow.

* This work was supported by the DARPA Reversible Quantum Machine Learning and Simulation program under contract HR00112190068, as well as by National Science Foundation grants PHY-1653820, PHY-2210566, DGE-2125899, and by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Superconducting Quantum Materials and Systems Center (SQMS) under contract number DE-AC02-07CH11359. Many of the numerical simulations in this work were performed with a generous grant of HPC access from the Fujitsu Corporation. Part of this research was performed while the one of the authors was visiting the Institute for Pure and Applied Mathematics (IPAM), which is supported by the National Science Foundation (Grant No. DMS-1925919).

Presenters

  • Jacob (Coby) Sagal

    Colorado School of Mines

Authors

  • Jacob (Coby) Sagal

    Colorado School of Mines

  • Brandon A Barton

    Colorado School of Mines

  • Sean Feeney

    Colorado School of Mines

  • George S Grattan

    Colorado School of Mines

  • Pratik Patnaik

    Colorado School of Mines

  • Vadim Oganesyan

    CUNY, Staten Island

  • Lincoln D Carr

    Quantum Engineering Program and Department of Physics, Colorado School of Mines, Golden, Colorado, 80401, USA, Colorado School of Mines

  • Eliot Kapit

    Colorado School of Mines