10 papers
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…
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…
Soft inductive limits of operator systems and a noncommutative Lazar-Lindenstrauss theorem
Kristin Courtney, Niklas Galke, Lauritz van Luijk +1
We establish a flexible generalization of inductive systems of operator systems, which relaxes the usual transitivity (or coherence) condition to an asymptotic version thereof and…
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…
Revisiting the operator extension of strong subadditivity
Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming
We give a new proof of the operator extension of the strong subadditivity of von Neumann entropy by identifying the m…
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…