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    Robustness of generalized controlled-not gates against static errors in quantum-dot systems

    Dong-Sheng Li1,2, Xinyu Zhao1,2,*, Yi-Hao Kang3, Ye-Hong Chen1,2,4, Yan Xia1,2, and Zhi-Cheng Shi1,2,†

    • 1Fujian Key Laboratory of Quantum Information and Quantum Optics, Fuzhou University, Fuzhou 350108, China
    • 2Department of Physics, Fuzhou University, Fuzhou 350108, China
    • 3School of Physics, Hangzhou Normal University, Hangzhou 311121, China
    • 4Theoretical Quantum Physics Laboratory, Cluster for Pioneering Research, RIKEN, Wako-shi, Saitama 351-0198, Japan

    • *Contact author: xzhao@fzu.edu.cn
    • †Contact author: szc2014@yeah.net

    Phys. Rev. A 114, 032620 – Published 24 September, 2026

    DOI: https://doi.org/10.1103/cq57-k2vx

    Abstract

    We propose a method for realizing a high-fidelity and robust controlled-not gate in a Si double-quantum-dot system. The Hamiltonian of the system is first reduced to a block-diagonal form, dividing it into two individual subsystems. Given the interdependence of certain parameters between these subsystems, we develop two techniques, detuning modulation and magnetic-field rotation, to perform a robust identity operation in one subsystem and a reliable not gate in the other subsystem. Numerical results validate the feasibility of this methodology, demonstrating that the controlled-not gate we design still maintains very high fidelity over a relatively wide range of pulse duration deviations. Furthermore, the pulse shape we adopt is a common square wave, which is easy to obtain in practice. This work can provide a general framework for the realization of reliable quantum computations in silicon-based quantum-dot systems.

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