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International Symposium on Fluctuation and Structure out of Equilibrium 2017 (SFS2017)にて、ポスター講演。
  • Date of poster presentation: 14:50 ~ 16:50, 20th Nov. 2017.
  • Conference: International Symposium on Fluctuation and Structure out of Equilibrium 2017
  • Conference dates: From 20th Nov. 2017 to 23th Nov. 2017.
  • Venue: Sendai International Center, Sendai, Japan.
  • URL:http://sfs-dynamics.jp/sfs2017/
Title: "Entanglement branching operator" (invited)
  • Date of presentation: 14:00 ~ 15:00, 6th Nov. 2017.
  • Conference: Novel Quantum States in Condensed Matter 2017
  • Conference dates: From 23th Oct. 2017 to 24th Nov. 2017.
  • Venue: Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, Japan.
  • URL:http://www2.yukawa.kyoto-u.ac.jp/~nqs2017.ws/index.php
Preprint
arXiv:1710.01830
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.
Preprint
arXiv:1710.01830
Author
Kenji Harada
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.
Comments
9 pages, 11 figures
  • Title: "General Entanglement Branching in a Tensor Network" (invited)
  • Date of presentation: 14th Dec. 2016.
  • Conference: Fourth Workshop on Tensor Network States: Algorithms and Applications
  • Conference dates: From 12th Dec. 2016 to 15th Dec. 2016.
  • Venue: National Center for Theoretical Sciences, Hsinchu, Taiwan
  • URL:http://www.phys.cts.nthu.edu.tw/actnews/index.php?Sn=318

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