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

TL;DR

This paper develops a theoretical method using multi-frequency control pulses to optimize the manipulation of multi-level superconducting quantum circuits, enhancing qubit and qudit control fidelity.

Contribution

It introduces a generalized Floquet-based analytical approach for designing multi-frequency control pulses in superconducting quantum systems.

Findings

Analytical method agrees well with numerical simulations.

Applicable to both qubits and qudits.

Improves control precision in multi-level systems.

Abstract

Superconducting quantum circuits, such as the superconducting phase qubit, have multiple quantum states that can interfere with ideal qubit operation. The use of multiple frequency control pulses, resonant with the energy differences of the multi-state system, is theoretically explored. An analytical method to design such control pulses is developed, using a generalization of the Floquet method to multiple frequency controls. This method is applicable to optimizing the control of both superconducting qubits and qudits, and is found to be in excellent agreement with time-dependent numerical simulations.