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Title: Entanglement branching operator
Authors: Harada, Kenji  kyouindb  KAKEN_id
Author's alias: 原田, 健自
Issue Date: 15-Jan-2018
Publisher: American Physical Society (APS)
Journal title: Physcal Review B
Volume: 97
Issue: 4
Thesis number: 045124
Abstract: We introduce an entanglement branching operator to split a composite entanglement flow in a tensor network which is a promising theoretical tool for many-body systems. We can optimize an entanglement branching operator by solving a minimization problem based on squeezing operators. The entanglement branching is a new useful operation to manipulate a tensor network. For example, finding a particular entanglement structure by an entanglement branching operator, we can improve a higher-order tensor renormalization group method to catch a proper renormalization flow in a tensor network space. This new method yields a new type of tensor network states. The second example is a many-body decomposition of a tensor by using an entanglement branching operator. We can use it for a perfect disentangling among tensors. Applying a many-body decomposition recursively, we conceptually derive projected entangled pair states from quantum states that satisfy the area law of entanglement entropy.
Rights: ©2018 American Physical Society
DOI(Published Version): 10.1103/PhysRevB.97.045124
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