We derive the explicit solution of the problem of time-optimal control (TOC) by a common magnetic fields for two independent spin-1/2 particles. Our approach is based on the Pontryagin Maximum Princple (PMP) and a novel symmetry reduction technique. We experimentally implement the optimal control via a home-built zero and ultralow filed NMR spectrometer. This is the first analytical solution and experimental demonstration of time-optimal control in such a system and it provides a route to achieve time optimal control in more general quantum systems.
Time-optimal Control of independent Spin-1/2 Systems under Simultaneous Control
Published: 14 June 2019 by MDPI AG in 2019 Advances in Quantum Engineering International Meeting session Quantum Computation and Quantum Simulation
Keywords: quantum control; magnetic resonance; optimal control; magnetometer