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quant-ph2026

Quantum steering is equivalent to state-preserving conditional expectations

Lauritz van Luijk, Amine Marrakchi, Tobias Osborne +2

In systems with infinitely many degrees of freedom, fundamental results from quantum information theory can fail. An important example is the uniqueness of purifications: Even when…

quant-ph2026

Gaussian fermionic embezzlement of entanglement

Alessia Kera, Lauritz van Luijk, Alexander Stottmeister +1

Embezzlement of entanglement allows to extract arbitrary entangled states from a suitable embezzling state using only local operations while perturbing the resource state arbitrari…

quant-ph2025

Uniqueness of purifications is equivalent to Haag duality

Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming

The uniqueness of purifications of quantum states on a system up to local unitary transformations on a purifying system is central to quantum information theory. We show th…

quant-ph2025

Multipartite Embezzlement of Entanglement

Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming

Embezzlement of entanglement refers to the task of extracting entanglement from an entanglement resource via local operations and without communication while perturbing the resourc…

quant-ph2025

Relativistic Quantum Fields Are Universal Entanglement Embezzlers

Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner +1

Embezzlement of entanglement refers to the counterintuitive possibility of extracting entangled quantum states from a reference state of an auxiliary system (the "embezzler") via l…

quant-ph2025

The Large-Scale Structure of Entanglement in Quantum Many-body Systems

Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming

We show that the thermodynamic limit of a many-body system can reveal entanglement properties that are hard to detect in finite-size systems -- similar to how phase transitions onl…