Polynomial scaling enhancement in the ground-state preparation of Ising spin models via counterdiabatic driving

Andreas Hartmann, Glen Bigan Mbeng, Wolfgang Lechner · Physical Review A · 2022

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 counterdiabatic driving, a less strict requirement on adiabaticity applies. We demonstrate a scaling advantage from local and multispin counterdiabatic driving in the ground-state fidelity compared to their adiabatic counterpart, for different Ising spin models.

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