[Submitted on 14 Jan 2024 (v1), last revised 23 Oct 2024 (this version, v3)]
Embezzling entanglement from quantum fields
Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner, Henrik Wilming
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.
> Abstract: 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.
Arxiv:
https://arxiv.org/abs/2401.07292
[Submitted on 14 Jan 2024 (v1), last revised 23 Oct 2024 (this version, v3)] Embezzling entanglement from quantum fields Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner, Henrik Wilming
"Relativistic quantum fields are universal entanglement embezzlers" (2024) https://journals.aps.org/prl/accepted/32073Yd2G141638436cb80... :
> Abstract: 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.
"Quantum entanglement can be endlessly 'embezzled' from quantum fields" (2024) https://www.newscientist.com/article/2461485-quantum-entangl...