Critical fermions are universal embezzlers

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

Organisationseinheiten

Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer14859
Seiten (von - bis)1141-1146
Seitenumfang6
FachzeitschriftNature physics
Jahrgang21
Ausgabenummer7
Frühes Online-Datum27 Mai 2025
PublikationsstatusVeröffentlicht - Juli 2025

Abstract

Universal embezzlers are bipartite quantum systems from which any entangled state may be extracted to arbitrary precision using local operations while perturbing the system arbitrarily little. Here we show that a universal embezzler can be created by bipartitioning any local, translation-invariant, critical free-fermionic many-body system on a one-dimensional lattice. The same property holds for locally interacting spin chains that are dual to the critical fermionic models by the Jordan–Wigner transformation. Furthermore, for any finite error and any targeted entangled state, a finite length of the chain is sufficient to embezzle said state within the given error. Hence, universal embezzlement is not restricted to the thermodynamic limit. As well as establishing the ubiquity of universal embezzlers in many-body physics, on a technical level, our main result establishes that the half-chain observable algebras associated with ground-state sectors of the given models are type III1 factors.

ASJC Scopus Sachgebiete

Zitieren

Critical fermions are universal embezzlers. / van Luijk, Lauritz; Stottmeister, Alexander; Wilming, Henrik.
in: Nature physics, Jahrgang 21, Nr. 7, 14859, 07.2025, S. 1141-1146.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

van Luijk L, Stottmeister A, Wilming H. Critical fermions are universal embezzlers. Nature physics. 2025 Jul;21(7):1141-1146. 14859. Epub 2025 Mai 27. doi: 10.1038/s41567-025-02921-w
van Luijk, Lauritz ; Stottmeister, Alexander ; Wilming, Henrik. / Critical fermions are universal embezzlers. in: Nature physics. 2025 ; Jahrgang 21, Nr. 7. S. 1141-1146.
Download
@article{9c619275c724485e9916da431065fab2,
title = "Critical fermions are universal embezzlers",
abstract = "Universal embezzlers are bipartite quantum systems from which any entangled state may be extracted to arbitrary precision using local operations while perturbing the system arbitrarily little. Here we show that a universal embezzler can be created by bipartitioning any local, translation-invariant, critical free-fermionic many-body system on a one-dimensional lattice. The same property holds for locally interacting spin chains that are dual to the critical fermionic models by the Jordan–Wigner transformation. Furthermore, for any finite error and any targeted entangled state, a finite length of the chain is sufficient to embezzle said state within the given error. Hence, universal embezzlement is not restricted to the thermodynamic limit. As well as establishing the ubiquity of universal embezzlers in many-body physics, on a technical level, our main result establishes that the half-chain observable algebras associated with ground-state sectors of the given models are type III1 factors.",
author = "{van Luijk}, Lauritz and Alexander Stottmeister and Henrik Wilming",
note = "Publisher Copyright: {\textcopyright} The Author(s) 2025.",
year = "2025",
month = jul,
doi = "10.1038/s41567-025-02921-w",
language = "English",
volume = "21",
pages = "1141--1146",
journal = "Nature physics",
issn = "1745-2473",
publisher = "Nature Research",
number = "7",

}

Download

TY - JOUR

T1 - Critical fermions are universal embezzlers

AU - van Luijk, Lauritz

AU - Stottmeister, Alexander

AU - Wilming, Henrik

N1 - Publisher Copyright: © The Author(s) 2025.

PY - 2025/7

Y1 - 2025/7

N2 - Universal embezzlers are bipartite quantum systems from which any entangled state may be extracted to arbitrary precision using local operations while perturbing the system arbitrarily little. Here we show that a universal embezzler can be created by bipartitioning any local, translation-invariant, critical free-fermionic many-body system on a one-dimensional lattice. The same property holds for locally interacting spin chains that are dual to the critical fermionic models by the Jordan–Wigner transformation. Furthermore, for any finite error and any targeted entangled state, a finite length of the chain is sufficient to embezzle said state within the given error. Hence, universal embezzlement is not restricted to the thermodynamic limit. As well as establishing the ubiquity of universal embezzlers in many-body physics, on a technical level, our main result establishes that the half-chain observable algebras associated with ground-state sectors of the given models are type III1 factors.

AB - Universal embezzlers are bipartite quantum systems from which any entangled state may be extracted to arbitrary precision using local operations while perturbing the system arbitrarily little. Here we show that a universal embezzler can be created by bipartitioning any local, translation-invariant, critical free-fermionic many-body system on a one-dimensional lattice. The same property holds for locally interacting spin chains that are dual to the critical fermionic models by the Jordan–Wigner transformation. Furthermore, for any finite error and any targeted entangled state, a finite length of the chain is sufficient to embezzle said state within the given error. Hence, universal embezzlement is not restricted to the thermodynamic limit. As well as establishing the ubiquity of universal embezzlers in many-body physics, on a technical level, our main result establishes that the half-chain observable algebras associated with ground-state sectors of the given models are type III1 factors.

UR - http://www.scopus.com/inward/record.url?scp=105006720929&partnerID=8YFLogxK

U2 - 10.1038/s41567-025-02921-w

DO - 10.1038/s41567-025-02921-w

M3 - Article

AN - SCOPUS:105006720929

VL - 21

SP - 1141

EP - 1146

JO - Nature physics

JF - Nature physics

SN - 1745-2473

IS - 7

M1 - 14859

ER -

Von denselben Autoren