Parameterized Hamiltonian simulation using quantum optimal control

Understand

Analog quantum simulation offers a hardware-specific approach to studying quantum dynamics, but mapping a model Hamiltonian onto the available device parameters requires matching the hardware dynamics.

• We introduce a paradigm for quantum Hamiltonian simulation that leverages digital decomposition techniques and optimal control to perform analog simulation.
• We validate this approach by constructing the optimal analog controls for a superconducting transmon device to emulate the dynamics of an extended Bose-Hubbard model.
• We demonstrate the role of control time, digital error, and pulse complexity, and we explore the accuracy and robustness of these controls.