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PhysRevB.97.045124.pdf676.42 kBAdobe PDF見る/開く
タイトル: Entanglement branching operator
著者: Harada, Kenji  kyouindb  KAKEN_id  orcid https://orcid.org/0000-0003-0231-7880 (unconfirmed)
著者名の別形: 原田, 健自
発行日: 15-Jan-2018
出版者: American Physical Society (APS)
誌名: Physcal Review B
巻: 97
号: 4
論文番号: 045124
抄録: 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.
著作権等: ©2018 American Physical Society
URI: http://hdl.handle.net/2433/231106
DOI(出版社版): 10.1103/PhysRevB.97.045124
出現コレクション:学術雑誌掲載論文等

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