11 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…
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…
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…
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?…
Deep-Circuit QAOA
Gereon KoÃmann, Lennart Binkowski, Lauritz van Luijk +2
Despite its popularity, several empirical and theoretical studies suggest that the quantum approximate optimization algorithm (QAOA) has persistent issues in providing a substantia…
Convergence Rates for the Trotter Splitting for Unbounded Operators
Simon Becker, Niklas Galke, Robert Salzmann +1
We study convergence rates of the Trotter splitting in the strong operator topology. In the first part, we use complex interpola…