Exact Emergent Quantum State Designs from Quantum Chaotic Dynamics.
Exact Emergent Quantum State Designs from Quantum Chaotic Dynamics.
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量子混沌动力学的精确涌现量子态设计。
DOI：
10.1103/physrevlett.128.060601
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发表时间：
2021
影响因子：
8.6
通讯作者：
Soonwon Choi
中科院分区：
文献类型：
--
作者：
W. Ho;Soonwon Choi
我们对一种新型的新兴随机矩阵普遍性提出了确切的结果，即在无限温度下可以显示量子多体系统。具体而言，我们考虑了一个在小子系统上支持的纯状态的集合，这些纯状态是由局部对系统其余部分的投影测量产生的。我们严格地表明，该合奏是针对正在进行淬灭动态的一类量子混沌系统而得出的，它完全独立于系统详细信息的通用形式：它变得均匀地分布在希尔伯特空间中。这超出了量子热化的标准范式，这决定了子系统在热混合状态下局部可观察到的局部可观察结果的期望值放松。我们的结果更普遍地表明，量子状态本身的分布与统一随机的分布没有区别，即集合在量子信息理论的说法中形成量子状态设计。我们的工作通过表明伪恒定状态可以由孤立的量子动力学引起，开辟了新的方法来设计量子状态层析成像和基准测试的新方法，从而建立了量子多体物理学，量子信息和随机矩阵理论之间的桥梁。
We present exact results on a novel kind of emergent random matrix universality that quantum many-body systems at infinite temperature can exhibit. Specifically, we consider an ensemble of pure states supported on a small subsystem, generated from projective measurements of the remainder of the system in a local basis. We rigorously show that the ensemble, derived for a class of quantum chaotic systems undergoing quench dynamics, approaches a universal form completely independent of system details: it becomes uniformly distributed in Hilbert space. This goes beyond the standard paradigm of quantum thermalization, which dictates that the subsystem relaxes to an ensemble of quantum states that reproduces the expectation values of local observables in a thermal mixed state. Our results imply more generally that the distribution of quantum states themselves becomes indistinguishable from those of uniformly random ones, i.e., the ensemble forms a quantum state design in the parlance of quantum information theory. Our work establishes bridges between quantum many-body physics, quantum information and random matrix theory, by showing that pseudorandom states can arise from isolated quantum dynamics, opening up new ways to design applications for quantum state tomography and benchmarking.
DOI：
10.1007/978-3-319-78372-7_16
发表时间：
2017-09
期刊：
ArXiv
影响因子：
--
作者：
G. Alagic;Tommaso Gagliardoni;Christian Majenz
通讯作者：
G. Alagic;Tommaso Gagliardoni;Christian Majenz
来自个体多体波函数的涌现量子态设计
影响因子：
9.7
作者：
Cotler, Jordan S.;Mark, Daniel K.;Huang, Hsin-Yuan;Hernández, Felipe;Choi, Joonhee;Shaw, Adam L.;Endres, Manuel;Choi, Soonwon
通讯作者：
Choi, Soonwon