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

Autor: F. Setiawan, Peter Groszkowski, Hugo Ribeiro, Aashish A. Clerk
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: PRX Quantum, Vol 2, Iss 3, p 030306 (2021)
Druh dokumentu: article
ISSN: 2691-3399
DOI: 10.1103/PRXQuantum.2.030306
Popis: 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 and 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.
Databáze: Directory of Open Access Journals