Manipulating two-spin coherences and qubit pairs
A compact derivation is given for propagators of a wide class of time-dependent Hamiltonians that describe coupled spin ("qubit") pairs. As many as eight of the 16 operators in the system, each with its own time-dependent coefficient, can be handled with no more difficulty than a single spin in a magnetic field. A single first-order (in time), quadratically nonlinear differential equation for a classical function is the only nontrivial ingredient in constructing the full quantum propagator for a wide variety of magnetic coherences and qubit interactions.
Publication Source (Journal or Book title)
Physical Review A - Atomic, Molecular, and Optical Physics
Rau, A. (2000). Manipulating two-spin coherences and qubit pairs. Physical Review A - Atomic, Molecular, and Optical Physics, 61 (3), 323011-323015. Retrieved from https://repository.lsu.edu/physics_astronomy_pubs/4538