15 citations · 76 across the 20 of their papers we have counts for
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The Schmidt rank for the commuting operator framework
Lauritz van Luijk, René Schwonnek, Alexander Stottmeister +1
In quantum information theory, the Schmidt rank is a fundamental measure for the entanglement dimension of a pure bipartite state. Its natural definition uses the Schmidt decomposi…
Convergence of Dynamics on Inductive Systems of Banach Spaces
Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner
Many features of physical systems, both qualitative and quantitative, become sharply defined or tractable only in some limiting situation. Examples are phase transitions in the the…
Exact and lower bounds for the quantum speed limit in finite dimensional systems
Mattias T. Johnsson, Lauritz van Luijk, Daniel Burgarth
A fundamental problem in quantum engineering is determining the lowest time required to ensure that all possible unitaries can be generated with the tools available, which is one o…
Sufficiency of Rényi divergences
Niklas Galke, Lauritz van Luijk, Henrik Wilming
A set of classical or quantum states is equivalent to another one if there exists a pair of classical or quantum channels mapping either set to the other one. For dichotomies (pair…
A simple criterion for essential self-adjointness of Weyl pseudodifferential operators
Robert Fulsche, Lauritz van Luijk
We prove a new criterion for the essential self-adjointness of pseudodifferential operators that does not involve ellipticity-type assumptions. For example, we show that self-adjoi…
Covariant catalysis requires correlations and good quantum reference frames degrade little
Lauritz van Luijk, Reinhard F. Werner, Henrik Wilming
Catalysts are quantum systems that open up dynamical pathways between quantum states which are otherwise inaccessible under a given set of operational restrictions while, at the sa…