Entanglement distillation toward minimal bond cut surface in tensor networks

Takato Mori, Hidetaka Manabe, Hiroaki Matsueda

研究成果: ジャーナルへの寄稿学術論文査読

6 被引用数 (Scopus)

抄録

In tensor networks, a geometric operation of pushing a bond cut surface toward a minimal surface corresponds to entanglement distillation. Cutting bonds defines a reduced transition matrix on the bond cut surface and the associated quantum state naturally emerges from it. We justify this picture quantitatively by evaluating the trace distance between the maximally entangled states and the states on bond cut surfaces in the multiscale entanglement renormalization ansatz (MERA) and matrix product states in a canonical form. Our numerical result for the random MERA is in a reasonable agreement with our proposal. The result sheds new light on a deeper understanding of the Ryu-Takayanagi formula for entanglement entropy in holography and the emergence of geometry from the entanglement structure.

本文言語英語
論文番号086008
ジャーナルPhysical Review D
106
8
DOI
出版ステータス出版済み - 2022 10月 15

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