Counterdiabatic driving for Q-CHOP

Develop and analyze counterdiabatic driving schemes for the quantum constrained Hamiltonian optimization (Q-CHOP) algorithm by constructing appropriate gauge-field terms to be added to the total Hamiltonian H_tot(θ) that reduce nonadiabatic errors while maintaining feasible-subspace evolution, and quantify their benefits across objective Hamiltonians.

Background

In Section 3.2 the authors note that for linear objectives an added term proportional to the global Y-rotation generator S_y can be identified with approximate counterdiabatic driving. They suggest that similar counterdiabatic terms may benefit Q-CHOP more generally, especially for non-linear objectives, but do not develop these terms in the paper.

The explicit open item calls for incorporating counterdiabatic (shortcut-to-adiabaticity) techniques into Q-CHOP and evaluating their impact, which would complement the adiabatic schedule constructed from the problem's objective and constraints.