15 citations · 76 across the 20 of their papers we have counts for
4 papers · 2 filters
An entropic characterization of Haag duality
Ruizhi Liu, Lauritz van Luijk
Motivated by Haag duality in quantum spin systems, we show that Haag duality for a pair of commuting factors generated by increasing sequences of finite-dimensional matrix algebras…
Sufficient positive maps between von Neumann algebras: Rényi divergences
Anna Jenčová, Lauritz van Luijk
We prove recovery theorems for - Rényi divergences under normal unital positive maps between von Neumann algebras. Previous results in this setting required 2-positivity, whi…
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…
Sufficiency and Petz recovery for positive maps
Lauritz van Luijk, Henrik Wilming
We study the interconversion of families of quantum states ("statistical experiments") via positive, trace-preserving (PTP) maps and clarify its mathematical structure in terms of…