Shortcut-based quantum gates on superconducting qubits in circuit QED*

Abstract

Construction of optimal gate operations is significant for quantum computation. Here an efficient scheme is proposed for performing shortcut-based quantum gates on superconducting qubits in circuit quantum electrodynamics (QED). Two four-level artificial atoms of Cooper-pair box circuits, having sufficient level anharmonicity, are placed in a common quantized field of circuit QED and are driven by individual classical microwaves. Without the effect of cross resonance, one-qubit NOT gate and phase gate in a decoupled atom can be implemented using the invariant-based shortcuts to adiabaticity. With the assistance of cavity bus, a one-step SWAP gate can be obtained within a composite qubit-photon-qubit system by inversely engineering the classical drivings. We further consider the gate realizations by adjusting the microwave fields. With the accessible decoherence rates, the shortcut-based gates have high fidelities. The present strategy could offer a promising route towards fast and robust quantum computation with superconducting circuits experimentally.

Fast population transfer with a superconducting qutrit via non-Hermitian shortcut to adiabaticity

“…[20,21] Due to these inherent advantages, the STAbased operations on superconducting qubits have been investigated both theoretically and experimentally. [22][23][24][25][26][27][28][29][30][31][32][33][34] Considering the system dissipation effect, much attention has been further devoted to the technique of non-Hermitian STA theoretically, [35][36][37][38] by which the detrimental dissipation could be especially utilized for serving the dynamical evolutions of interest. [39][40][41] However, in order to make the non-Hermitian effects significantly helpful to dynamical behaviors, the system dissipation generally requires a large rate, giving rise to a severe restriction for some systems without desirable dissipation rates.…”

Optimal Shortcuts to Adiabatic Control by Lagrange Mechanics

“…It achieves the same results as the adiabatic process in a short time [19]. At present, STA technology has been successfully applied to atoms, molecules, optical physics, solid state physics, chemistry, engineering, quantum systems, and classical systems [12,[20][21][22][23][24][25]. With the development of STA technology, the STA technique includes many different schemes, such as the quantum invariant-based inverse control method [26][27][28][29], the reverse thermal transfer compensation method [30][31][32], the no-jump quantum drive method [33][34][35], etc.…”