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

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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 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.

Original language	English
Article number	414002
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	52
Issue number	41
DOIs	https://doi.org/10.1088/1751-8121/ab3f4e
Publication status	Published - 2019 Sept 18

Keywords

entanglement
phase transitions
random matrix theory

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
Physics and Astronomy(all)

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10.1088/1751-8121/ab3f4e

Cite this

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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.",

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

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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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ER -

Phase diagram of bipartite entanglement

Abstract

Keywords

ASJC Scopus subject areas

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