Fast implementation of controlled π phase gate using superadiabatic shortcuts with Rydberg superatoms

<title>Abstract</title> <p>Quantum phase gates serve as core fundamental resources for quantum information processing, and their preparation effciency and structural stability directly determine the overall performance of quantum computing and quantum communication. The traditional adiabatic preparation method is prone to the influence of decoherence due to its excessive time consumption, while superadiabatic shortcut technology can significantly shorten the evolution time while retaining the advantages of the adiabatic process. In this paper, we propose a scheme for rapidly implementing a quantum phase gate by combining superadiabatic scheme and quantum Zeno dynamics to construct shortcuts to adiabatic passage. We demonstrate the superadiabatic shortcut by using Rydberg superatoms in distant-atom-cavity system. Furthermore, we utilize the controlled π phase gate to achieve the preparation of N-particles cluster states. Additionally, the impact of decoherence and operational imperfections are discussed. Numerical simulation demonstrates the proposed scheme has high fidelities and robustness against both cavity leakage and atomic spontaneous emission.</p>