Author

Lauritz van Luijk

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Preprint Aug 2026

Sufficient positive maps between von Neumann algebras: R\'enyi divergences

We prove recovery theorems for $\alpha$-$z$ R\'enyi divergences under normal unital positive maps between von Neumann algebras. Previous results in this setting required 2-positivity, while recent finite dimensional work showed that this assumption can be relaxed to mere positivity. Our proof uses sufficiency for JW*-s...

A. Jenčová, Lauritz van Luijk · 0 citations

Preprint Aug 2026

Quantum steering is equivalent to state-preserving conditional expectations

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 two subsystems, described by commuting von Neumann algebras $A$ and $B$, are tomographically complete, purifications of a state on $A$ need...

Lauritz van Luijk, Amine Marrakchi, T. Osborne et al. · 4 citations