Holonomic quantum computation in the ultrastrong-coupling regime of circuit QED

TL;DR

This paper proposes a feasible method for holonomic quantum computation in the ultrastrong-coupling regime of circuit QED, utilizing the quantum Rabi model's properties to implement scalable quantum gates.

Contribution

It introduces a novel scheme using the quantum Rabi model's anharmonicity and symmetry to realize holonomic quantum computation with superconducting qubits.

Findings

Single-qubit gates via two-tone driving

Two-qubit gates through time-dependent coupling

Scalable implementation in ultrastrong-coupling regime

Abstract

We present an experimentally feasible scheme to implement holonomic quantum computation in the ultrastrong-coupling regime of light-matter interaction. The large anharmonicity and the Z2 symmetry of the quantum Rabi model allow us to build an effective three-level {\Lambda}-structured artificial atom for quantum computation. The proposed physical implementation includes two gradiometric flux qubits and two microwave resonators where single-qubit gates are realized by a two-tone driving on one physical qubit, and a two-qubit gate is achieved with a time-dependent coupling between the field quadratures of both resonators. Our work paves the way for scalable holonomic quantum computation in ultrastrongly coupled systems.