Phase diagram of bipartite entanglement

Paolo Facchi; Giorgio Parisi; Saverio Pascazio; Antonello Scardicchio; Kazuya Yuasa

doi:10.1088/1751-8121/ab3f4e

Phase diagram of bipartite entanglement

Paolo Facchi^*, Giorgio Parisi, Saverio Pascazio, Antonello Scardicchio, Kazuya Yuasa

^*この研究の対応する著者

先進理工学部

研究成果: Article › 査読

5 被引用数 (Scopus)

抄録

We investigate the features of the entanglement spectrum (distribution of the eigenvalues of the reduced density matrix) of a large quantum system in a pure state. We consider all Rényi entropies and recover purity and von Neumann entropy as particular cases. We construct the phase diagram of the theory and unveil the presence of two critical lines.

本文言語	English
論文番号	414002
ジャーナル	Journal of Physics A: Mathematical and Theoretical
巻	52
号	41
DOI	https://doi.org/10.1088/1751-8121/ab3f4e
出版ステータス	Published - 2019 9月 18

ASJC Scopus subject areas

統計物理学および非線形物理学
統計学および確率
モデリングとシミュレーション
数理物理学
物理学および天文学（全般）

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title = "Phase diagram of bipartite entanglement",

abstract = "We investigate the features of the entanglement spectrum (distribution of the eigenvalues of the reduced density matrix) of a large quantum system in a pure state. We consider all R{\'e}nyi entropies and recover purity and von Neumann entropy as particular cases. We construct the phase diagram of the theory and unveil the presence of two critical lines.",

keywords = "entanglement, phase transitions, random matrix theory",

author = "Paolo Facchi and Giorgio Parisi and Saverio Pascazio and Antonello Scardicchio and Kazuya Yuasa",

note = "Publisher Copyright: {\textcopyright} 2019 IOP Publishing Ltd.",

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T1 - Phase diagram of bipartite entanglement

AU - Facchi, Paolo

AU - Parisi, Giorgio

AU - Pascazio, Saverio

AU - Scardicchio, Antonello

AU - Yuasa, Kazuya

PY - 2019/9/18

Y1 - 2019/9/18

N2 - We investigate the features of the entanglement spectrum (distribution of the eigenvalues of the reduced density matrix) of a large quantum system in a pure state. We consider all Rényi entropies and recover purity and von Neumann entropy as particular cases. We construct the phase diagram of the theory and unveil the presence of two critical lines.

AB - We investigate the features of the entanglement spectrum (distribution of the eigenvalues of the reduced density matrix) of a large quantum system in a pure state. We consider all Rényi entropies and recover purity and von Neumann entropy as particular cases. We construct the phase diagram of the theory and unveil the presence of two critical lines.

KW - entanglement

KW - phase transitions

KW - random matrix theory

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JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

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ER -

Phase diagram of bipartite entanglement

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