Two-parameter counter-diabatic driving in quantum annealing

We introduce a two-parameter approximate counter-diabatic term into the Hamiltonian of transverse-field Ising model for quantum annealing to accelerate convergence solution, generalizing an existing single-parameter approach. The protocol is equivalent unconventional diabatic control longitudinal and transverse fields in thus makes it more feasible experimental realization than introduction new terms such as nonstoquastic catalysts toward same goal performance enhancement. test idea p-spin with p=3, which has first-order phase transition, show that our approach leads significantly larger ground-state fidelity lower residual energy those by traditional method. also find scaling advantage time-to-solution function system size certain range parameters compared methods sense exponential time complexity reduced another smaller coefficient. Although present method may not always lead drastic speedup difficult optimization problems, useful because its versatility applicability any problem after simple algebraic manipulation, contrast some other powerful prescriptions acceleration one should carefully study advance if works given identify proper way meticulously achieve goal, generally highly nontrivial.Received 12 November 2020Revised 22 January 2021Accepted 24 February 2021DOI:https://doi.org/10.1103/PhysRevResearch.3.013227Published American Physical Society under Creative Commons Attribution 4.0 International license. Further distribution this work must maintain attribution author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasAdiabatic optimizationQuantum computationQuantum controlQuantum protocolsQuantum simulationPhysical SystemsQuantum spin modelsTechniquesIsing modelQuantum chainsStatistical PhysicsQuantum InformationCondensed Matter, Materials & Applied Physics