Experimental Demonstration of Swift Analytical Universal Control Over Nearby Transitions

Along with the scaling of dimensions in quantum systems, transitions between system's energy levels would become close frequency, which are conventionally resolved by weak and lengthy pulses. Here, we extend experimentally demonstrate analytically based swift control techniques on a four-level trapped ion system, where perform individual or simultaneous over two pairs spectrally nearby tailored time-varied drive, achieving operational fidelities ranging from 99.2(3)% to 99.6(3)%. We achieve approximately an order magnitude speed up compared case square pulse for general control. Therefore, our demonstration may be beneficial broad range systems crowded spectrum, spectroscopy, information processing, simulation.