标题： 多体量子混沌的量子计算机动力学模拟 显示英文标题

标题： Dynamical simulations of many-body quantum chaos on a quantum computer

摘要： 具有局部酉操作的量子电路已成为研究离散时间系统多体量子动力学的丰富平台。 虽然内在的局域性使它们特别适合在当前的量子处理器上运行，但对于非可积系统，在非平凡尺度上的验证任务却很复杂。 在这里，我们研究了一类称为双酉电路的特殊最大混沌电路——在空间和时间上都表现出酉性——已知这些电路对于某些关联函数具有精确的解析解。 随着噪声学习的进步以及新型误差缓解方法的实现，我们表明一个具有91个量子比特的超导量子处理器能够准确模拟这些关联器。 然后，我们通过将电路偏离双酉点来探究超出精确验证的动力学，并将我们的结果与张量网络的经典近似进行比较。 这些结果巩固了在前容错量子处理器上进行误差缓解的数字量子模拟作为探索和发现新型涌现量子多体相的可信平台。 显示英文摘要

摘要： Quantum circuits with local unitaries have emerged as a rich playground for the exploration of many-body quantum dynamics of discrete-time systems. While the intrinsic locality makes them particularly suited to run on current quantum processors, the task of verification at non-trivial scales is complicated for non-integrable systems. Here, we study a special class of maximally chaotic circuits known as dual unitary circuits -- exhibiting unitarity in both space and time -- that are known to have exact analytical solutions for certain correlation functions. With advances in noise learning and the implementation of novel error mitigation methods, we show that a superconducting quantum processor with 91 qubits is able to accurately simulate these correlators. We then probe dynamics beyond exact verification, by perturbing the circuits away from the dual unitary point, and compare our results to classical approximations with tensor networks. These results cement error-mitigated digital quantum simulation on pre-fault-tolerant quantum processors as a trustworthy platform for the exploration and discovery of novel emergent quantum many-body phases.