38_state_mapping
Quantum Control in the Cs 6S1/2 Ground Manifold Using Radio-Frequency and Microwave Magnetic Fields
A. Smith1, B. E. Anderson1, H. Sosa-Martinez1, C. A. Riofrio2, I. H. Deutsch2, P.S. Jessen1
1. Center for Quantum Information and Control, College of Optical Sciences and Department of Physics, University of Arizona, Tucson, Arizona 85721, USA
2. Center for Quantum Information and Control, Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA
We implement arbitrary maps between pure states in the 16-dimensional Hilbert space associated with the ground electronic manifold of 133Cs. This is accomplished by driving atoms with phase modulated radio-frequency and microwave fields, using modulation waveforms found via numerical optimization and designed to work robustly in the presence of imperfections. We evaluate the performance of a sample of randomly chosen state maps by randomized benchmarking, obtaining an average fidelity > 99%. Our protocol advances state-of-the-art quantum control and has immediate applications in quantum metrology and tomography.