Counterdiabatic drive and quantum optimal control for spin annealing schedules

<!--HTML-->Adiabatic protocols are critical subroutine in many quantum technologies. Accelerating these processes is challenging, not only due to suboptimal hardware implementations, but also for fundamental reasons. Indeed, a class of adiabatic theorems bounds the maximum fidelity that a particular protocol may accomplish. Furthermore, phase transitions and narrow gap systems are inherently difficult to address. In this work, we integrate counterdiabatic drive with quantum optimum control techniques (COLD), as proposed in PRX Quantum 4, 010312. Using symbolic calculus, we expand the formulation of the adiabatic gauge potential ansatz to any spin hamiltonian. Finally, we put COLD to the test on frustrated systems and 2D topologies.