Counterdiabatic driving in the quantum annealing of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-spin model: A variational approach

Abstract

In this paper, the issue of reducing the time-to-solution in adiabatic quantum computation is addressed. The authors apply a variational principle to derive approximations of the counterdiabatic driving operator as a shortcut to adiabaticity. Two different ansatzes are discussed for the ferromagnetic $p$-spin model and its generalizations, including short-range interactions and random couplings. Numerical simulations show good performances, almost independently of the system size, up to hundreds of qubits

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