论文标题

随机量子电路

Random Quantum Circuits

论文作者

Fisher, Matthew P. A., Khemani, Vedika, Nahum, Adam, Vijay, Sagar

论文摘要

量子电路 - 由当地的统一大门和局部测量构建的 - 是量子多体物理学的新操场,也是探索通用集体现象远距离平衡的可拖动环境。这些模型阐明了有关热化和混乱的长期问题,以及量子信息和纠缠的基本通用动态。此外,这样的模型会产生新的问题集并引起没有传统类似物的现象,例如由外部观察者监视的量子系统中的新动力阶段。鉴于构建数字量子模拟器的实验进展,量子电路动力学也是局部局部性的,这些量子模拟器允许精确控制这些成分。电路元素中的随机性允许高水平的理论控制,关键主题是实时量子动力学与有效的经典晶格模型或动态过程之间的映射。可以在此拖动设置中识别的许多通用现象都适用于更广泛的结构化多体动力学。

Quantum circuits -- built from local unitary gates and local measurements -- are a new playground for quantum many-body physics and a tractable setting to explore universal collective phenomena far-from-equilibrium. These models have shed light on longstanding questions about thermalization and chaos, and on the underlying universal dynamics of quantum information and entanglement. In addition, such models generate new sets of questions and give rise to phenomena with no traditional analog, such as new dynamical phases in quantum systems that are monitored by an external observer. Quantum circuit dynamics is also topical in view of experimental progress in building digital quantum simulators that allow control of precisely these ingredients. Randomness in the circuit elements allows a high level of theoretical control, with a key theme being mappings between real-time quantum dynamics and effective classical lattice models or dynamical processes. Many of the universal phenomena that can be identified in this tractable setting apply to much wider classes of more structured many-body dynamics.

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