Publications

A complete and up-to-date publication list is also available on my Google Scholar profile.

Selected publications

Quantum steering is equivalent to state-preserving conditional expectations
Lauritz van Luijk, Amine Marrakchi, Tobias Osborne, Alexander Stottmeister, and Henrik Wilming.
Preprint, 2026. arXiv

Uniqueness of purifications is equivalent to Haag duality
Lauritz van Luijk, Alexander Stottmeister, and Henrik Wilming.
Physical Review Letters 136, 040203 (2026). DOI · arXiv

Embezzlement of entanglement, quantum fields, and the classification of von Neumann algebras
Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner, and Henrik Wilming.
Preprint, 2024. arXiv

Critical fermions are universal embezzlers
Lauritz van Luijk, Alexander Stottmeister, and Henrik Wilming.
Nature Physics 21, 1141–1146 (2025). DOI · arXiv

Energy-limited quantum dynamics
Lauritz van Luijk. Communications in Mathematical Physics 406, 120 (2025).
DOI · arXiv

Full publication list

2026

Quantum steering is equivalent to state-preserving conditional expectations
Lauritz van Luijk, Amine Marrakchi, Tobias Osborne, Alexander Stottmeister, and Henrik Wilming.
Preprint, 2026. arXiv

Sufficiency and Petz recovery for positive maps
Lauritz van Luijk and Henrik Wilming.
Preprint, 2026. arXiv

Uniqueness of purifications is equivalent to Haag duality
Lauritz van Luijk, Alexander Stottmeister, and Henrik Wilming.
Physical Review Letters 136, 040203 (2026). DOI · arXiv

2025

Soft inductive limits of operator systems and a noncommutative Lazar–Lindenstrauss theorem
Kristin Courtney, Niklas Galke, Lauritz van Luijk, and Alexander Stottmeister.
Preprint, 2025. To appear in Journal of Operator Theory. arXiv

Gaussian fermionic embezzlement of entanglement
Alessia Kera, Lauritz van Luijk, Alexander Stottmeister, and Henrik Wilming.
Preprint, 2025. arXiv

Revisiting the operator extension of strong subadditivity
Lauritz van Luijk, Alexander Stottmeister, and Henrik Wilming.
Preprint, 2025. arXiv

Pure state entanglement and von Neumann algebras
Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner, and Henrik Wilming.
Communications in Mathematical Physics 406, 296 (2025). DOI · arXiv

Convergence rates for the Trotter splitting for unbounded operators
Simon Becker, Niklas Galke, Lauritz van Luijk, and Robert Salzmann.
Foundations of Computational Mathematics (2025). DOI · arXiv

Multipartite embezzlement of entanglement
Lauritz van Luijk, Alexander Stottmeister, and Henrik Wilming.
Quantum 9, 1818 (2025). DOI · arXiv

Critical fermions are universal embezzlers
Lauritz van Luijk, Alexander Stottmeister, and Henrik Wilming.
Nature Physics 21, 1141–1146 (2025). DOI · arXiv

Energy-limited quantum dynamics
Lauritz van Luijk.
Communications in Mathematical Physics 406, 120 (2025). DOI · arXiv

A simple criterion for essential self-adjointness of Weyl pseudodifferential operators
Robert Fulsche and Lauritz van Luijk.
Journal of Pseudo-Differential Operators and Applications 16, 38 (2025). DOI · arXiv

Heisenberg-smooth operators from the phase-space perspective
Robert Fulsche and Lauritz van Luijk.
Mathematische Nachrichten 298, 2845–2866 (2025). DOI · arXiv

The large-scale structure of entanglement in quantum many-body systems
Lauritz van Luijk, Alexander Stottmeister, and Henrik Wilming.
Preprint, 2025. arXiv

Deep-circuit QAOA
Gereon Koßmann, Lennart Binkowski, Lauritz van Luijk, Timo Ziegler, and René Schwonnek.
Quantum 9, 1882 (2025). DOI · arXiv

2024

Relativistic quantum fields are universal entanglement embezzlers
Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner, and Henrik Wilming.
Physical Review Letters 133, 261602 (2024). DOI · arXiv

The Schmidt rank for the commuting operator framework
Lauritz van Luijk, René Schwonnek, Alexander Stottmeister, and Reinhard F. Werner.
Communications in Mathematical Physics 405, 152 (2024). DOI · arXiv

Convergence of dynamics on inductive systems of Banach spaces
Lauritz van Luijk, Alexander Stottmeister, and Reinhard F. Werner.
Annales Henri Poincaré (2024). DOI · arXiv

Sufficiency of Rényi divergences
Niklas Galke, Lauritz van Luijk, and Henrik Wilming.
IEEE Transactions on Information Theory 70, 5057–5076 (2024). DOI · arXiv

Error bounds for Lie group representations in quantum mechanics
Lauritz van Luijk, Niklas Galke, Alexander Hahn, and Daniel Burgarth.
Journal of Physics A: Mathematical and Theoretical 57, 105301 (2024). DOI · arXiv

Embezzlement of entanglement, quantum fields, and the classification of von Neumann algebras
Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner, and Henrik Wilming.
Preprint, 2024. arXiv

2023

State-dependent Trotter limits and their approximations
Daniel Burgarth, Niklas Galke, Alexander Hahn, and Lauritz van Luijk.
Physical Review A 107, L040201 (2023). DOI · arXiv

Covariant catalysis requires correlations and good quantum reference frames degrade little
Lauritz van Luijk, Reinhard F. Werner, and Henrik Wilming.
Quantum 7, 1166 (2023). DOI · arXiv

Self-adjointness of Toeplitz operators on the Segal–Bargmann space
Wolfram Bauer, Lauritz van Luijk, Alexander Stottmeister, and Reinhard F. Werner.
Journal of Functional Analysis 284, 109778 (2023). DOI · arXiv

Exact and lower bounds for the quantum speed limit in finite-dimensional systems
Mattias T. Johnsson, Lauritz van Luijk, and Daniel Burgarth.
Physical Review A 108, 052403 (2023). DOI · arXiv

PhD thesis

Entanglement in von Neumann Algebraic Quantum Information Theory
Lauritz van Luijk.
Leibniz Universität Hannover, 2025. Supervisor: Reinhard F. Werner. arXiv