Error‐Insensitive 3D Entanglement Gate with Optimal Control of Geometric Evolution

Abstract

By using the counterdiabatic driving method, two‐atom 3D entanglement gates are constructed rapidly based on adiabatic geometric quantum computation (AGQC). The added counterdiabatic Hamiltonian does not introduce additional unaccessible ground‐state coupling, and the shapes and phases of the initial adiabatic classical‐field pulse only need to be modified. By using the optimal control technology, the effect of the control errors of Rabi frequency or detuning is suppressed effectively. Quite specially, with an appropriate choice of optimized parameters, the authors' scheme could be insensitive to these two kinds of errors simultaneously. By combining AGQC with optimal control, the scheme could offer a promising means for constructing fast and robust high‐dimensional quantum entanglement gate.