Abstract
To round off our discussion, let us finally describe an interesting method of geometrically representing quantum entanglement in a many-body system. The scheme of ideas goes under the name of tensor networks, which captures broadly a variety of ways to describe wavefunctions of many-body systems in terms of tensors, which are strung together diagrammatically into a tree graph network structure. The tensors themselves encode the variational parameters used to optimally represent ground states of local Hamiltonians. We will be especially interested in a class of tensor networks which capture quantum critical points (or CFTs), called the multi-scale entanglement renormalization ansatz (MERA) [255].
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Rangamani, M., Takayanagi, T. (2017). AdS/CFT and Tensor Networks. In: Holographic Entanglement Entropy. Lecture Notes in Physics, vol 931. Springer, Cham. https://doi.org/10.1007/978-3-319-52573-0_14
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