论文标题

带压缩量子电路的实时和假想的时间演变

Real- and imaginary-time evolution with compressed quantum circuits

论文作者

Lin, Sheng-Hsuan, Dilip, Rohit, Green, Andrew G., Smith, Adam, Pollmann, Frank

论文摘要

当前一代嘈杂的中级量表量子计算机引入了研究量子多体系统的新机会。在本文中,我们表明,量子电路可以比在非平衡量子动力​​学下生成的量子状态的当前经典数字提供更有效的表示。对于量子电路,我们使用在近期量子计算机上可行的优化算法执行实时和假想的时间演化。我们通过找到基态并模拟具有经典计算机上纵向场的横向磁场模型的全局淬火来对算法进行基准测试。此外,我们在量子处理单元上实施(经典优化)门,并证明我们的算法有效地捕获了实时演变。

The current generation of noisy intermediate scale quantum computers introduces new opportunities to study quantum many-body systems. In this paper, we show that quantum circuits can provide a dramatically more efficient representation than current classical numerics of the quantum states generated under non-equilibrium quantum dynamics. For quantum circuits, we perform both real- and imaginary-time evolution using an optimization algorithm that is feasible on near-term quantum computers. We benchmark the algorithms by finding the ground state and simulating a global quench of the transverse field Ising model with a longitudinal field on a classical computer. Furthermore, we implement (classically optimized) gates on a quantum processing unit and demonstrate that our algorithm effectively captures real time evolution.

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