论文标题
量子重力状态，纠缠图和第二定量张量网络
Quantum gravity states, entanglement graphs and second-quantized tensor networks
论文作者
论文摘要
近年来，量子信息技术在量子重力中的进口在空间的显微镜结构中开辟了新的观点。我们通过建立张量网络（TN）的量子信息形式主义（TN）之间的精确对应关系来为这样一个计划做出贡献，而在预计纠缠对态（PEPS）中，将其推广到第二个质量的框架（GFT）状态（GFT）状态，并通过在这种量子级别的空间中显示出量子的量化模式，并显示出在量子上的量化模式中的量化模式中的量化图，并显示出量子的差异。和简单络合物。我们特别注意图形/网络的标签独立性的实现和后果，对应于空间量子的不可区分性，并代表了一致的量子重力形式主义的差异不变性的离散对应物。我们还概述了一个关系设置，以在理论的部分半古典限制下以有效和物理层面的有效和物理层面恢复图形/网络顶点的区分性。
In recent years, the import of quantum information techniques in quantum gravity opened new perspectives in the study of the microscopic structure of spacetime. We contribute to such a program by establishing a precise correspondence between the quantum information formalism of tensor networks (TN), in the case of projected entangled-pair states (PEPS) generalised to a second-quantized framework, and group field theory (GFT) states, and by showing how, in this quantum gravity approach, discrete spatial manifolds arise as entanglement patterns among quanta of space, having a dual representation in terms of graphs and simplicial complexes. We devote special attention to the implementation and consequences of the label independence of the graphs/networks, corresponding to the indistinguishability of the space quanta and representing a discrete counterpart of the diffeomorphism invariance of a consistent quantum gravity formalism. We also outline a relational setting to recover distinguishability of graph/network vertices at an effective and physical level, in a partial semi-classical limit of the theory.
