6 papers
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…
Heisenberg-smooth operators from the phase space perspective
Robert Fulsche, Lauritz van Luijk
Cordes' characterization of Heisenberg-smooth operators bridges a gap between the theory of pseudo-differential operators and quantum harmonic analysis (QHA). We give a new proof o…
A simple criterion for essential self-adjointness of Weyl pseudodifferential operators
Robert Fulsche, Lauritz van Luijk
We prove a new criterion for the essential self-adjointness of pseudodifferential operators that does not involve ellipticity-type assumptions. For example, we show that self-adjoi…
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…