论文标题
通过求解ISING模型来检测多体钟非本地性
Detecting many-body Bell non-locality by solving Ising models
论文作者
论文摘要
贝尔非本地性代表了量子纠缠的最终结果，从根本上破坏了经典的宗旨，即在空间分离的自由度具有独立于其测量行为的客观属性。尽管它很重要，但在多体系统中探测贝尔非局部性被认为是一个巨大的挑战，其计算成本缩放呈指数缩放，并具有系统尺寸。在这里，我们基于逆经典ising问题的解决方案提出并验证有效的变分方案，在多项式时间里，该问题可以探测一组任意的量子数据是否与局部理论兼容。而且，如果没有，它会产生量子数据违反的多体铃不平等。我们使用我们的方法来揭示新的多体钟的不平等，这是通过对范式量子状态（海森伯格抗fiferromagnets的低能状态）进行适当测量所违反的，为多体型领域的系统铃铛测试铺平了道路。
Bell non-locality represents the ultimate consequence of quantum entanglement, fundamentally undermining the classical tenet that spatially-separated degrees of freedom possess objective attributes independently of the act of their measurement. Despite its importance, probing Bell non-locality in many-body systems is considered to be a formidable challenge, with a computational cost scaling exponentially with system size. Here we propose and validate an efficient variational scheme, based on the solution of inverse classical Ising problems, which in polynomial time can probe whether an arbitrary set of quantum data is compatible with a local theory; and, if not, it delivers a many-body Bell inequality violated by the quantum data. We use our approach to unveil new many-body Bell inequalities, violated by suitable measurements on paradigmatic quantum states (the low-energy states of Heisenberg antiferromagnets), paving the way to systematic Bell tests in the many-body realm.
