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Relativistic Quantum Fields Are Universal Entanglement Embezzlers
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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.
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Cited by 1 Pith paper
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Unitary induced channels and Tsirelson's problem
Generalized unitary induced channels are equal in the commuting and tensor models if and only if Tsirelson's conjecture holds, so the models differ.
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