Relativistic Quantum Fields Are Universal Entanglement Embezzlers

被引：0

作者：

van Luijk, Lauritz ^{[1
]}

Stottmeister, Alexander ^{[1
]}

Werner, Reinhard F. ^{[1
]}

Wilming, Henrik ^{[1
]}

机构：

[1] Leibniz Univ Hannover, Inst Theoret Phys, Appelstr 2, D-30167 Hannover, Germany

来源：

PHYSICAL REVIEW LETTERS | 2024年 / 133卷 / 26期

关键词：

VONNEUMANN-ALGEBRAS; MAXIMAL VIOLATION; SPLIT PROPERTY; HAAG-DUALITY; ENTROPY; STATES; REPRESENTATIONS; INEQUALITIES; EQUIVALENCE; SPACETIME;

D O I：

10.1103/PhysRevLett.133.261602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Embezzlement of entanglement refers to the counterintuitive possibility of extracting entangled quantum states from a reference state of an auxiliary system (the "embezzler") via local quantum operations while hardly perturbing the latter. We uncover a deep connection between the operational task of embezzling entanglement and the mathematical classification of von Neumann algebras. Our result implies that relativistic quantum fields are universal embezzlers: any entangled state of any dimension can be embezzled from them with arbitrary precision. This provides an operational characterization of the infinite amount of entanglement present in the vacuum state of relativistic quantum field theories.

引用

页数：8

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