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arXiv 2103.03535quant-phcond-mat.quant-gascond-mat.stat-mechphysics.atom-ph
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制备随机态与基于多体量子混沌的基准测试

Preparing random states and benchmarking with many-body quantum chaos

Joonhee Choi, Adam L. Shaw, Ivaylo S. Madjarov, Xin Xie, Ran Finkelstein, Jacob P. Covey, Jordan S. Cotler, Daniel K. Mark, Hsin-Yuan Huang, Anant Kale, Hannes … 展开作者

Joonhee Choi, Adam L. Shaw, Ivaylo S. Madjarov, Xin Xie, Ran Finkelstein, Jacob P. Covey, Jordan S. Cotler, Daniel K. Mark, Hsin-Yuan Huang, Anant Kale, Hannes Pichler, Fernando G. S. L. Brandão, Soonwon Choi, Manuel Endres

AI总结:

本研究通过预测和实验验证,展示了在时间无关哈密顿动力学下随机态系综的自然涌现,并基于此开发了一种高效保真的基准测试协议,在里德堡量子模拟器上以少于10^4个样本实现了对多达25个原子的系统进行保真度估计,具有广泛适用性。

摘要:

在现代量子科学中,随机产生量子态已变得越来越重要,其应用既涉及理论也涉及实践。特别是,这种随机分布但纯的量子态的系综,是我们理解量子电路和黑洞中复杂性的基础,并已被用于在量子优势测试中对量子设备进行基准测试。然而,创建随机系综需要高度的时空控制,这使得这类研究对于许多量子系统来说难以实现。在这里,我们通过预测并实验观察随机态系综在时间无关的哈密顿动力学下自然涌现来解决这个问题,并利用这一现象实现了一个高效且广泛适用的基准测试协议。观察到的随机系综源于投影测量,并与更大量子系统各子系统之间建立起来的普遍关联密切相关,为量子热化提供了新的见解。基于这一发现,我们开发了一种保真度估计方案,并在一个包含多达25个原子的里德堡量子模拟器上进行了演示,使用的实验样本少于10^4个。该方法具有广泛的适用性,我们展示了其在哈密顿参数估计、目标态生成基准测试以及模拟与数字量子设备比较中的应用。我们的工作对于理解量子动力学中的随机性具有重要意义,并使这一概念在更广泛的背景下得以应用。

英文摘要:

Producing quantum states at random has become increasingly important in modern quantum science, with applications both theoretical and practical. In particular, ensembles of such randomly-distributed, but pure, quantum states underly our understanding of complexity in quantum circuits and black holes, and have been used for benchmarking quantum devices in tests of quantum advantage. However, creating random ensembles has necessitated a high degree of spatio-temporal control, placing such studies out of reach for a wide class of quantum systems. Here we solve this problem by predicting and experimentally observing the emergence of random state ensembles naturally under time-independent Hamiltonian dynamics, which we use to implement an efficient, widely applicable benchmarking protocol. The observed random ensembles emerge from projective measurements and are intimately linked to universal correlations built up between subsystems of a larger quantum system, offering new insights into quantum thermalization. Predicated on this discovery, we develop a fidelity estimation scheme, which we demonstrate for a Rydberg quantum simulator with up to 25 atoms using fewer than 10^4 experimental samples. This method has broad applicability, as we show for Hamiltonian parameter estimation, target-state generation benchmarking, and comparison of analog and digital quantum devices. Our work has implications for understanding randomness in quantum dynamics, and enables applications of this concept in a much wider context.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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