4 papers · 1 filter
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…
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…
Energy-limited quantum dynamics
Lauritz van Luijk
We consider quantum systems with energy constraints relative to a reference Hamiltonian. In general, quantum channels and continuous-time dynamics need not satisfy energy conservat…
Pure state entanglement and von Neumann algebras
Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner +1
We develop the theory of local operations and classical communication (LOCC) for bipartite quantum systems represented by commuting von Neumann algebras. Our central result is the…