3 papers
math.OA2025
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…
quant-ph2025
Entanglement in von Neumann Algebraic Quantum Information Theory
Lauritz van Luijk
In quantum systems with infinitely many degrees of freedom, states can be infinitely entangled across a pair of subsystems, but are there different forms of infinite entanglement?…
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…