Multiple-qubit nonadiabatic noncyclic geometric quantum computation in Rydberg atoms

Abstract

Single- and two-qubit nonadiabatic noncyclic geometric quantum computation (NNGQC) have been put forward in theory [Phys. Rev. Res. 2, 043130 (2020)]. The features of single-qubit NNGQC have been experimentally verified and the experimental technical route of two-qubit case has been discussed in detail in Ref. [Phys. Rev. Lett. 127, 030502 (2021)]. Multiple-qubit quantum logic gate is critical for quantum computation. Although combining a series of single- and two-qubit NNGQC gates can form universal operations and create arbitrary multiple-qubit gates, the created multiple-qubit gate often consumes more quantum resource and requires longer evolution time, which make it more fragile to systematic error and decoherence. In this article, we propose a scheme to directly construct the multiple-qubit NNGQC gates in Rydberg atoms. The numerical results show that the proposed quantum gates have high fidelity and are robust to systemic error and decoherence. Our scheme may be applied in the future quantum computation and many-body quantum science studies.

Realizing multiple-qubit entangling gate in Rydberg atoms via soft quantum control

“…Thus, (a) E-mail: mengruYun@163.com (corresponding author) (b) E-mail: shuming cheng@tongji.edu.cn (c) E-mail: llyan@zzu.edu.cn (d) E-mail: jiayu@zzu.edu.cn preparing multiple-qubit entangled gate by one step is highly demanding. Correspondingly, many methods have been proposed for the preparation of multiple-qubit states in various physical platforms, such as superconducting circuits [23,24], circuit QED [25], trapped ion [26], neutral atom [27][28][29][30][31], and so on [32].…”