Polynomial scaling enhancement in ground-state preparation of Ising spin models via counter-diabatic driving

Abstract

The preparation of ground states of spin systems is a fundamental operation in quantum computing and serves as the basis of adiabatic quantum computing. This form of quantum computation is subject to the adiabatic theorem which in turn poses a fundamental speed limit. We show that by employing diabatic transitions via counter diabatic driving a less strict requirement on adiabaticity applies. We demonstrate a scaling advantage from local and multi-spin counter diabatic driving in the ground-state fidelity compared to their adiabatic counterpart, for different Ising spin models.

8 pages, 7 figures

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Cited by in corpus (3)

• Digitized-Counterdiabatic Quantum Optimization
• Quantum annealing sampling with a bias field
• Nonstoquastic catalyst for bifurcation-based quantum annealing of ferromagnetic $p$-spin model