Fast adiabatic control near the quantum speed limit

The design of fast, high fidelity adiabatic waveforms is an important open challenge in quantum control. We propose a simple optimization scheme for designing fast, accurate adiabatic waveforms that maximize adiabaticity in Berry’s superadiabatic interaction frames and can be applied to both single and multi-qubit control. For single qubit control, the optimized pulses are compared against both non-adiabatic optimal control GRAPE pulses and pulses derived from Slepian window functions, and they are shown to achieve high fidelities at pulse lengths near the quantum speed limit. We also demonstrate the design of a two-qubit entangling operation and implement the scheme using NMR.