论文标题
中央自旋模型中相关性熵的实验检测
Experimental Detection of the Correlation Rényi Entropy in the Central Spin Model
论文作者
论文摘要
我们提出并通过实验测量量化量子位之间相关性量的熵。该实验是在由中央旋转耦合组成的几乎孤立的量子系统上进行的,最初与其他15个自旋不相关。由于自旋旋转相互作用,信息从中心自旋流向周围的旋转相互作用,形成了随时间增长的多旋转相关性的簇。我们设计了一个核磁共振实验,该实验直接测量了多旋转相关性的幅度,并使用它们来计算我们所谓的相关性rényi熵的演变。即使在纠缠熵的平衡之后,该熵也会继续增长。我们还分析了相关性熵的平衡的饱和点和时间表如何取决于系统大小。
We propose and experimentally measure an entropy that quantifies the volume of correlations among qubits. The experiment is carried out on a nearly isolated quantum system composed of a central spin coupled and initially uncorrelated with 15 other spins. Due to the spin-spin interactions, information flows from the central spin to the surrounding ones forming clusters of multi-spin correlations that grow in time. We design a nuclear magnetic resonance experiment that directly measures the amplitudes of the multi-spin correlations and use them to compute the evolution of what we call correlation Rényi entropy. This entropy keeps growing even after the equilibration of the entanglement entropy. We also analyze how the saturation point and the timescale for the equilibration of the correlation Rényi entropy depend on the system size.