论文标题
在双单身电路动力学中，新兴的量子状态设计和生物活性
Emergent quantum state designs and biunitarity in dual-unitary circuit dynamics
论文作者
论文摘要
最近的工作调查了量子淬灭后单位动力学中一种新型随机矩阵行为的出现。从随着时间进化的状态开始，可以通过对系统其余部分进行投影测量来生成一个小子系统支持的纯状态集合，从而导致投影集合。在混乱的量子系统中，人们可以推测，这种投影的合奏与统一的Haar-random集合没有区别，并导致量子状态设计。 HO和Choi [Phys]最近提出了确切的结果。莱特牧师。 128，060601（2022）]对于自duly点的踢伊辛模型。我们提供了一种替代结构，可以扩展到具有可解决的初始状态和测量值的一般混沌双统一电路，突出了基础双职务的作用，并进一步显示了双自动循环模型如何表现出精确的溶解性和随机矩阵行为。在Biorital Connections的结果基础上，我们展示了Hadamard矩阵和单一误差基库的复杂程度都导致可解决的测量方案。
Recent works have investigated the emergence of a new kind of random matrix behaviour in unitary dynamics following a quantum quench. Starting from a time-evolved state, an ensemble of pure states supported on a small subsystem can be generated by performing projective measurements on the remainder of the system, leading to a projected ensemble. In chaotic quantum systems it was conjectured that such projected ensembles become indistinguishable from the uniform Haar-random ensemble and lead to a quantum state design. Exact results were recently presented by Ho and Choi [Phys. Rev. Lett. 128, 060601 (2022)] for the kicked Ising model at the self-dual point. We provide an alternative construction that can be extended to general chaotic dual-unitary circuits with solvable initial states and measurements, highlighting the role of the underlying dual-unitarity and further showing how dual-unitary circuit models exhibit both exact solvability and random matrix behaviour. Building on results from biunitary connections, we show how complex Hadamard matrices and unitary error bases both lead to solvable measurement schemes.
