Nonadiabatic holonomic quantum computation with dressed-state qubits

TL;DR

This paper proposes a scalable method for nonadiabatic holonomic quantum computation using dressed-state qubits in circuit QED, simplifying implementation by leveraging resonant interactions and tunable couplings.

Contribution

It introduces a novel approach to implement holonomic quantum gates with dressed-state qubits, reducing complexity in superconducting circuits.

Findings

Arbitrary single-qubit holonomic gates achieved with microwave control.

Two-qubit gates implemented via tunable SQUID-assisted interactions.

Scheme is scalable to two-dimensional lattice configurations.

Abstract

Implementing holonomic quantum computation is a challenging task as it requires complicated interaction among multilevel systems. Here we propose to implement nonadiabatic holonomic quantum computation based on dressed-state qubits in circuit QED. An arbitrary holonomic single-qubit gate can be conveniently achieved using external microwave fields and tuning their amplitudes and phases. Meanwhile, nontrivial two-qubit gates can be implemented in a coupled-cavities scenario assisted by a grounding SQUID with tunable interaction, where the tuning is achieved by modulating the ac flux threaded through the SQUID. In addition, our proposal is directly scalable, up to a two-dimensional lattice configuration. In the present scheme, the dressed states involve only the lowest two levels of each transmon qubit and the effective interactions exploited are all of resonant nature. Therefore, we release the main difficulties for physical implementation of holonomic quantum computation on superconducting circuits.