Counterdiabatic driving (CD) offers a fast and robust strategy to manipulate and prepare quantum state in multi-body systems. However, the exact CD term involving the spectral properties of the system becomes difficult to calculate and generally takes a complicated form for higher-dimensional complex systems. Recently, D. Sels { {[Proc. Natl. Acad. Sci. U.S.A. 114, E3909 (2017)]}} proposed a variational method to optimally approximate the CD term with no need of the full spectral information of the original Hamiltonian. Using a nuclear magnetic resonance setup, here we report the first experimental demonstration of this method to construct available shortcuts to adiabaticity in a nonintegrable spin-$1/2$ chain via only local controls. In this process, the ground state of such a system was rapidly prepared and the final state fidelity had a significant improvement compared with the traditional adiabatic method. Our experiments prove the feasibility of this variational method to design the CD-based driving in practice, and thus provides a promising strategy for fast, high-fidelity quantum state manipulation in complex and noisy quantum systems.

中文翻译：

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通过局部反绝热驱动实现不可积分自旋链中绝热捷径的实验实现

反绝热驱动（CD）提供了一种快速而强大的策略来操纵和准备多体系统中的量子态。但是，涉及系统光谱特性的精确CD项变得难以计算，并且对于高维复杂系统通常采用复杂形式。最近，D。Sels {{ Natl。学院 科学 USA 114，E3909（2017）]}}提出了一种变分方法来最佳近似CD项，而无需原始哈密顿量的全部光谱信息。使用核磁共振装置，我们在此报告该方法的首次实验演示，以构建不可积分自旋-$\mathrm{1个}/2$仅通过本地控件进行链接。在此过程中，快速准备了该系统的基态，并且与传统的绝热方法相比，最终状态的保真度有了显着的提高。我们的实验证明了这种变分方法在实践中设计基于CD的驱动的可行性，从而为复杂且嘈杂的量子系统中的快速，高保真量子态操纵提供了一种有希望的策略。