15 citations · 76 across the 20 of their papers we have counts for
21 papers
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…
Uniqueness of purifications is equivalent to Haag duality
Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming
The uniqueness of purifications of quantum states on a system up to local unitary transformations on a purifying system is central to quantum information theory. We show th…
Heisenberg-smooth operators from the phase space perspective
Robert Fulsche, Lauritz van Luijk
Cordes' characterization of Heisenberg-smooth operators bridges a gap between the theory of pseudo-differential operators and quantum harmonic analysis (QHA). We give a new proof o…
Critical Fermions are Universal Embezzlers
Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming
Universal embezzlers are bipartite quantum systems from which any entangled state may be extracted to arbitrary precision using local operations while perturbing the state of the s…
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…
Energy-limited quantum dynamics
Lauritz van Luijk
We consider quantum systems with energy constraints relative to a reference Hamiltonian. In general, quantum channels and continuous-time dynamics need not satisfy energy conservat…
Embezzlement of entanglement, quantum fields, and the classification of von Neumann algebras
Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner +1
We study the quantum information theoretic task of embezzlement of entanglement in the setting of von Neumann algebras. Given a shared entangled resource state, this task asks to p…
Relativistic Quantum Fields Are Universal Entanglement Embezzlers
Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner +1
Embezzlement of entanglement refers to the counterintuitive possibility of extracting entangled quantum states from a reference state of an auxiliary system (the "embezzler") via l…
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…
Error bounds for Lie Group representations in quantum mechanics
Lauritz van Luijk, Niklas Galke, Alexander Hahn +1
We provide state-dependent error bounds for strongly continuous unitary representations of connected Lie groups. That is, we bound the difference of two unitaries applied to a stat…
Deep-Circuit QAOA
Gereon Koßmann, 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…
State-dependent Trotter Limits and their approximations
Daniel Burgarth, Niklas Galke, Alexander Hahn +1
The Trotter product formula is a key instrument in numerical simulations of quantum systems. However, computers cannot deal with continuous degrees of freedom, such as the position…
Self-Adjointness of Toeplitz Operators on the Segal-Bargmann Space
Wolfram Bauer, Lauritz van Luijk, Alexander Stottmeister +1
We prove a new criterion that guarantees self-adjointness of Toeplitz operator with unbounded operator-valued symbols. Our criterion applies, in particular, to symbols with Lipschi…