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Self-verifying variational quantum simulation of lattice models

机译：晶格模型的自核变分量子仿真

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摘要

Hybrid classical-quantum algorithms aim to variationally solve optimization problems using a feedback loop between a classical computer and a quantum co-processor, while benefiting from quantum resources. Here we present experiments that demonstrate self-verifying, hybrid, variational quantum simulation of lattice models in condensed matter and high-energy physics. In contrast to analogue quantum simulation, this approach forgoes the requirement of realizing the targeted Hamiltonian directly in the laboratory, thus enabling the study of a wide variety of previously intractable target models. We focus on the lattice Schwinger model, a gauge theory of one-dimensional quantum electrodynamics. Our quantum co-processor is a programmable, trapped-ion analogue quantum simulator with up to 20 qubits, capable of generating families of entangled trial states respecting the symmetries of the target Hamiltonian. We determine ground states, energy gaps and additionally, by measuring variances of the Schwinger Hamiltonian, we provide algorithmic errors for the energies, thus taking a step towards verifying quantum simulation.
机译：混合经典量子算法旨在改变使用经典计算机和量子协处理器之间的反馈环路的优化问题，同时受益于量子资源。在这里，我们提出了展示自验证，混合，变分的晶格模型中的晶格模型和高能量物理学的实验。与模拟量子仿真相比，这种方法可以前进，直接在实验室中实现目标哈密顿的要求，从而能够研究各种先前棘手的目标模型。我们专注于格子Schwinger模型，是一维量子电动力学的仪表理论。我们的量子协处理器是一种可编程的被捕获的离子模拟量子模拟器，高达20夸张，能够产生围绕目标哈密顿人的对称的纠缠审判状态的家庭。我们确定基态，能隙，另外，通过测量施温格哈密顿的差异，我们为能提供算法错误，从而迈出验证量子模拟了一步。

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  • 来源
    《Nature》 |2019年第7756期|355-360|共6页
  • 作者

    Kokail C.; Maier C.; van Bijnen R.; Brydges T.; Joshi M. K.; Jurcevic P.; Muschik C. A.; Silvi P.; Blatt R.; Roos C. F.; Zoller P.;

  • 作者单位

    Univ Innsbruck Ctr Quantum Phys Innsbruck Austria|Univ Innsbruck Inst Expt Phys Innsbruck Austria|Austrian Acad Sci Inst Quantum Opt & Quantum Informat Innsbruck Austria;

    Univ Innsbruck Ctr Quantum Phys Innsbruck Austria|Univ Innsbruck Inst Expt Phys Innsbruck Austria|Austrian Acad Sci Inst Quantum Opt & Quantum Informat Innsbruck Austria;

    Univ Innsbruck Ctr Quantum Phys Innsbruck Austria|Univ Innsbruck Inst Expt Phys Innsbruck Austria|Austrian Acad Sci Inst Quantum Opt & Quantum Informat Innsbruck Austria;

    Univ Innsbruck Ctr Quantum Phys Innsbruck Austria|Univ Innsbruck Inst Expt Phys Innsbruck Austria|Austrian Acad Sci Inst Quantum Opt & Quantum Informat Innsbruck Austria;

    Austrian Acad Sci Inst Quantum Opt & Quantum Informat Innsbruck Austria;

    Univ Innsbruck Ctr Quantum Phys Innsbruck Austria|Univ Innsbruck Inst Expt Phys Innsbruck Austria|Austrian Acad Sci Inst Quantum Opt & Quantum Informat Innsbruck Austria;

    Univ Innsbruck Ctr Quantum Phys Innsbruck Austria|Univ Innsbruck Inst Expt Phys Innsbruck Austria|Austrian Acad Sci Inst Quantum Opt & Quantum Informat Innsbruck Austria;

    Univ Innsbruck Ctr Quantum Phys Innsbruck Austria|Univ Innsbruck Inst Expt Phys Innsbruck Austria|Austrian Acad Sci Inst Quantum Opt & Quantum Informat Innsbruck Austria;

    Univ Innsbruck Ctr Quantum Phys Innsbruck Austria|Univ Innsbruck Inst Expt Phys Innsbruck Austria|Austrian Acad Sci Inst Quantum Opt & Quantum Informat Innsbruck Austria;

    Univ Innsbruck Ctr Quantum Phys Innsbruck Austria|Univ Innsbruck Inst Expt Phys Innsbruck Austria|Austrian Acad Sci Inst Quantum Opt & Quantum Informat Innsbruck Austria;

    Univ Innsbruck Ctr Quantum Phys Innsbruck Austria|Univ Innsbruck Inst Expt Phys Innsbruck Austria|Austrian Acad Sci Inst Quantum Opt & Quantum Informat Innsbruck Austria;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
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