探测多体系统中的量子关联：可扩展方法综述
Probing quantum correlations in many-body systems: a review of scalable methods
AI总结：
本文综述检测与表征多体量子关联的可扩展方法，涵盖纠缠、EPR操控和Bell非定域性的理论推广、部分信息表征技术及多平台实验进展。
摘要：
我们综述了能够检测和表征多体系统中量子关联的方法，特别关注可扩展的方法。也就是说，这些方法适用于具有许多自由度的系统，而不需要随系统大小呈指数增长的测量次数或分析数据的计算资源。我们首先介绍双粒子场景中的量子纠缠、Einstein-Podolsky-Rosen操控和Bell非定域性概念，随后介绍它们的多粒子推广。我们综述了从系统状态的部分信息表征这些量子关联的最新进展，例如通过数据驱动方法或基于集体可观测量低阶矩的见证量。然后，我们综述了展示高纠缠多体系统制备、操控和检测的最新先进实验。对于每个平台（例如原子、离子、光子、超导电路），我们说明可用于状态制备和测量的工具箱，并强调每个系统带来的挑战。最后，我们提出该领域中一系列适时的开放问题。
英文摘要：
We review methods that allow one to detect and characterise quantum correlations in many-body systems, with a special focus on approaches which are scalable. Namely, those applicable to systems with many degrees of freedom, without requiring a number of measurements or computational resources to analyze the data that scale exponentially with the system size. We begin with introducing the concepts of quantum entanglement, Einstein-Podolsky-Rosen steering, and Bell nonlocality in the bipartite scenario, to then present their multipartite generalisation. We review recent progress on characterizing these quantum correlations from partial information on the system state, such as through data-driven methods or witnesses based on low-order moments of collective observables. We then review state-of-the-art experiments that demonstrated the preparation, manipulation and detection of highly-entangled many-body systems. For each platform (e.g. atoms, ions, photons, superconducting circuits) we illustrate the available toolbox for state preparation and measurement, emphasizing the challenges that each system poses. To conclude, we present a list of timely open problems in the field.
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。
