Multi-frequency control pulses for multi-level superconducting quantum circuits

摘要

Superconducting quantum circuits, such as the superconducting phase qubit,have multiple quantum states that can interfere with ideal qubit operation. Theuse of multiple frequency control pulses, resonant with the energy differencesof the multi-state system, is theoretically explored. An analytical method todesign such control pulses is developed, using a generalization of the Floquetmethod to multiple frequency controls. This method is applicable to optimizingthe control of both superconducting qubits and qudits, and is found to be inexcellent agreement with time-dependent numerical simulations.