Two-parameter counter-diabatic driving in quantum annealing
- URL: http://arxiv.org/abs/2011.02691v2
- Date: Tue, 9 Mar 2021 18:21:33 GMT
- Title: Two-parameter counter-diabatic driving in quantum annealing
- Authors: Luise Prielinger, Andreas Hartmann, Yu Yamashiro, Kohji Nishimura,
Wolfgang Lechner, Hidetoshi Nishimori
- Abstract summary: We introduce a two- parameter approximate counter-diabatic term into the Hamiltonian of the transverse-field Ising model to accelerate convergence to the solution.
We find a scaling advantage in terms of the time to solution as a function of the system size in a certain range of parameters as compared to the traditional methods.
- Score: 0.15658704610960567
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We introduce a two-parameter approximate counter-diabatic term into the
Hamiltonian of the transverse-field Ising model for quantum annealing to
accelerate convergence to the solution, generalizing an existing
single-parameter approach. The protocol is equivalent to unconventional
diabatic control of the longitudinal and transverse fields in the
transverse-field Ising model and thus makes it more feasible for experimental
realization than an introduction of new terms such as non-stoquastic catalysts
toward the same goal of performance enhancement. We test the idea for the
$p$-spin model with $p=3$, which has a first-order quantum phase transition,
and show that our two-parameter approach leads to significantly larger
ground-state fidelity and lower residual energy than those by traditional
quantum annealing as well as by the single-parameter method. We also find a
scaling advantage in terms of the time to solution as a function of the system
size in a certain range of parameters as compared to the traditional methods.
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