Simulation of Quantum Open-Loop Control Systems on a Quantum Computer

Shikun Zhang, Guofeng Zhang

LEVI, Benjamin, Bertrand Georgeot

Paulo Sergio Pereira da Silva, Pierre Rouchon

This work considers the open-loop control problem of steering a two-level quantum system from any initial to any final condition. The model of this system evolves on the state space , having two inputs that correspond to the complex amplitude of a resonant laser field. A symmetry preserving flat output is constructed using a fully geometric construction and quaternion computations. Simulation results of this flatness-based open-loop control are provided.

Seth Lloyd

Paulo Sergio, Pereira Silva, Pierre Rouchon

This work considers the open-loop control problem of steering a two level quantum system from an initial to a final condition. The model of this system evolves on the state space X = SU(2), having two inputs that correspond to the complex amplitude of a resonant laser field. A symmetry preserving flat output is constructed using a fully geometric construction and quaternion computations. Simulation results of this flatness-based open-loop control are provided.

Sean A. Fischer, C. Stephen Hellberg, Marco O. Lanzagorta +1 more