Analytic Design of Accelerated Adiabatic Gates in Realistic Qubits: General Theory and Applications to Superconducting Circuits

TL;DR

This paper introduces an analytical method for designing accelerated adiabatic quantum gates that correct errors and require less power, specifically applied to superconducting fluxonium qubits.

Contribution

The authors develop a general analytical approach to construct shortcuts to adiabaticity beyond idealized models, enabling high-fidelity gates in realistic qubit systems.

Findings

Analytical pulse shapes correct nonadiabatic and non-RWA errors.

Pulses require less driving power than traditional protocols.

Application to superconducting fluxonium qubits achieves high-fidelity single-qubit gates.

Abstract

Shortcuts to adiabaticity is a general method for speeding up adiabatic quantum protocols, and has many potential applications in quantum information processing. Unfortunately, analytically constructing shortcuts to adiabaticity for systems having complex interactions and more than a few levels is a challenging task. This is usually overcome by assuming an idealized Hamiltonian [e.g., only a limited subset of energy levels are retained, and the rotating-wave approximation (RWA) is made]. Here we develop an $analytic$ approach that allows one to go beyond these limitations. Our method is general and results in analytically derived pulse shapes that correct both nonadiabatic errors as well as non-RWA errors. We also show that our approach can yield pulses requiring a smaller driving power than conventional nonadiabatic protocols. We show in detail how our ideas can be used to analytically design high-fidelity single-qubit "tripod" gates in a realistic superconducting fluxonium qubit.