Emergent complex quantum networks in continuous-variables non-Gaussian states
Emergent complex quantum networks in continuous-variables non-Gaussian states
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DOI：
10.1088/2058-9565/accdfd
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发表时间：
2020-12
影响因子：
6.7
通讯作者：
M. Walschaers;Bhuvanesh Sundar;N. Treps;L. Carr;V. Parigi
中科院分区：
文献类型：
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作者：
M. Walschaers;Bhuvanesh Sundar;N. Treps;L. Carr;V. Parigi
利用复杂网络理论研究了一类具有多部纠缠和非高斯统计的光子连续变量子态。我们考虑几十种模态的中间尺度，在这种尺度上，这样的系统已经很难表征。特别是，根据复杂的网络结构，通过高斯纠缠操作建立初始印迹簇状态。然后，我们通过作用于单个节点的多个光子减法操作产生非高斯统计。我们在量子体系中复制了一些模拟现实世界复杂网络的模型，以测试它们在局部操作下的结构特性。我们超越了已知的单模效应，通过复杂的网络测量来研究光子数相关的新兴网络。我们分析证明了印迹网络结构定义了一个节点附近，距离光子减去的节点有四步的距离，在这个节点附近，由于光子减去，紧急网络发生了变化。我们用数值方法证明了突现结构受印迹网络结构的影响很大。事实上，虽然突现网络的度和聚类分布的均值和方差总是增加，但分布的较高矩受印迹网络的特定结构的支配。最后，我们证明了减法节点的近邻的行为取决于它们在印迹结构中的相互连接方式。
We use complex network theory to study a class of photonic continuous variable quantum states that present both multipartite entanglement and non-Gaussian statistics. We consider the intermediate scale of several dozens of modes at which such systems are already hard to characterize. In particular, the states are built from an initial imprinted cluster state created via Gaussian entangling operations according to a complex network structure. We then engender non-Gaussian statistics via multiple photon subtraction operations acting on a single node. We replicate in the quantum regime some of the models that mimic real-world complex networks in order to test their structural properties under local operations. We go beyond the already known single-mode effects, by studying the emergent network of photon-number correlations via complex networks measures. We analytically prove that the imprinted network structure defines a vicinity of nodes, at a distance of four steps from the photon-subtracted node, in which the emergent network changes due to photon subtraction. We show numerically that the emergent structure is greatly influenced by the structure of the imprinted network. Indeed, while the mean and the variance of the degree and clustering distribution of the emergent network always increase, the higher moments of the distributions are governed by the specific structure of the imprinted network. Finally, we show that the behaviour of nearest neighbours of the subtraction node depends on how they are connected to each other in the imprinted structure.