Entanglement and complexity of purification in (1+1)-dimensional free conformal field theories

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Entanglement and complexity of purification in (1+1)-dimensional free conformal field theories. / Camargo, Hugo A.; Hackl, Lucas; Heller, Michal P.; Jahn, Alexander; Takayanagi, Tadashi; Windt, Bennet.

I: Physical Review Research, Bind 3, Nr. 1, 013248, 17.03.2021.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Camargo, HA, Hackl, L, Heller, MP, Jahn, A, Takayanagi, T & Windt, B 2021, 'Entanglement and complexity of purification in (1+1)-dimensional free conformal field theories', Physical Review Research, bind 3, nr. 1, 013248. https://doi.org/10.1103/PhysRevResearch.3.013248

APA

Camargo, H. A., Hackl, L., Heller, M. P., Jahn, A., Takayanagi, T., & Windt, B. (2021). Entanglement and complexity of purification in (1+1)-dimensional free conformal field theories. Physical Review Research, 3(1), [013248]. https://doi.org/10.1103/PhysRevResearch.3.013248

Vancouver

Camargo HA, Hackl L, Heller MP, Jahn A, Takayanagi T, Windt B. Entanglement and complexity of purification in (1+1)-dimensional free conformal field theories. Physical Review Research. 2021 mar. 17;3(1). 013248. https://doi.org/10.1103/PhysRevResearch.3.013248

Author

Camargo, Hugo A. ; Hackl, Lucas ; Heller, Michal P. ; Jahn, Alexander ; Takayanagi, Tadashi ; Windt, Bennet. / Entanglement and complexity of purification in (1+1)-dimensional free conformal field theories. I: Physical Review Research. 2021 ; Bind 3, Nr. 1.

Bibtex

@article{ff2e55f8e1914290b945459dcc175616,
title = "Entanglement and complexity of purification in (1+1)-dimensional free conformal field theories",
abstract = "Finding pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace is necessarily a challenging task. Nevertheless, such purifications play the key role in characterizing quantum information-theoretic properties of mixed states via entanglement and complexity of purifications. In this article, we analyze these quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories using the most general Gaussian purifications. We provide a comprehensive comparison with existing results and identify universal properties. We further discuss important subtleties in our setup: the massless limit of the free bosonic theory and the corresponding behavior of the mutual information, as well as the Hilbert space structure under the Jordan-Wigner mapping in the spin chain model of the Ising conformal field theory.",
author = "Camargo, {Hugo A.} and Lucas Hackl and Heller, {Michal P.} and Alexander Jahn and Tadashi Takayanagi and Bennet Windt",
note = "Publisher Copyright: {\textcopyright} 2021 authors.",
year = "2021",
month = mar,
day = "17",
doi = "10.1103/PhysRevResearch.3.013248",
language = "English",
volume = "3",
journal = "Physical Review Research",
issn = "2643-1564",
publisher = "AMER PHYSICAL SOC",
number = "1",

}

RIS

TY - JOUR

T1 - Entanglement and complexity of purification in (1+1)-dimensional free conformal field theories

AU - Camargo, Hugo A.

AU - Hackl, Lucas

AU - Heller, Michal P.

AU - Jahn, Alexander

AU - Takayanagi, Tadashi

AU - Windt, Bennet

N1 - Publisher Copyright: © 2021 authors.

PY - 2021/3/17

Y1 - 2021/3/17

N2 - Finding pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace is necessarily a challenging task. Nevertheless, such purifications play the key role in characterizing quantum information-theoretic properties of mixed states via entanglement and complexity of purifications. In this article, we analyze these quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories using the most general Gaussian purifications. We provide a comprehensive comparison with existing results and identify universal properties. We further discuss important subtleties in our setup: the massless limit of the free bosonic theory and the corresponding behavior of the mutual information, as well as the Hilbert space structure under the Jordan-Wigner mapping in the spin chain model of the Ising conformal field theory.

AB - Finding pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace is necessarily a challenging task. Nevertheless, such purifications play the key role in characterizing quantum information-theoretic properties of mixed states via entanglement and complexity of purifications. In this article, we analyze these quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories using the most general Gaussian purifications. We provide a comprehensive comparison with existing results and identify universal properties. We further discuss important subtleties in our setup: the massless limit of the free bosonic theory and the corresponding behavior of the mutual information, as well as the Hilbert space structure under the Jordan-Wigner mapping in the spin chain model of the Ising conformal field theory.

UR - http://www.scopus.com/inward/record.url?scp=85105257518&partnerID=8YFLogxK

U2 - 10.1103/PhysRevResearch.3.013248

DO - 10.1103/PhysRevResearch.3.013248

M3 - Journal article

AN - SCOPUS:85105257518

VL - 3

JO - Physical Review Research

JF - Physical Review Research

SN - 2643-1564

IS - 1

M1 - 013248

ER -

ID: 284295378