Nonlinear quantum gates for a Bose-Einstein condensate

Quantum interferometry and quantum information processing have been proposed for Bose-Einstein condensates (BECs), but BECs are described in complicated ways such as using field theory or a nonlinear differential equation. Nonlinear mechanics does not mesh well with the superposition principle at heart of could be compatible. Thus, we develop rigorous foundation gates, obtained by solving equation evolution, then employ this foundation, combined quantum-control techniques appropriate state-sampling techniques, to devise feasible Hadamard gates thereby feasible, i.e., high-contrast, Ramsey interferometry. Our approach BEC logic shifts paradigm enlarging case mechanics, which apply cases processing.