14 citations · 69 across the 21 of their papers we have counts for
23 papers
Sharp Quantum Entropy Mixing Rates and the Operator Layer Cake Theorem
Alexander Stottmeister
At what rate does the von Neumann entropy of an ensemble of quantum states change under Hamiltonian evolution of its constituents? Bravyi proposed the small incremental mixing conj…
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…
Soft inductive limits of operator systems and a noncommutative Lazar-Lindenstrauss theorem
Kristin Courtney, Niklas Galke, Lauritz van Luijk +1
We establish a flexible generalization of inductive systems of operator systems, which relaxes the usual transitivity (or coherence) condition to an asymptotic version thereof and…
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…
Revisiting the operator extension of strong subadditivity
Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming
We give a new proof of the operator extension of the strong subadditivity of von Neumann entropy by identifying the mathe…
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…
The Large-Scale Structure of Entanglement in Quantum Many-body Systems
Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming
We show that the thermodynamic limit of a many-body system can reveal entanglement properties that are hard to detect in finite-size systems -- similar to how phase transitions onl…
Pure state entanglement and von Neumann algebras
Lauritz van Luijk, Alexander Stottmeister, Reinhard F. Werner +1
We develop the theory of local operations and classical communication (LOCC) for bipartite quantum systems represented by commuting von Neumann algebras. Our central result is the…
Multipartite Embezzlement of Entanglement
Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming
Embezzlement of entanglement refers to the task of extracting entanglement from an entanglement resource via local operations and without communication while perturbing the resourc…
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…
The Bałaban variational problem in the non-linear sigma model
Wojciech Dybalski, Alexander Stottmeister, Yoh Tanimoto
The minimization of the action of a QFT with a constraint dictated by the block averaging procedure is an important part of Bałaban's approach to renormalization. It is particularl…
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…
On the renormalization group fixed point of the two-dimensional Ising model at criticality
Tobias J. Osborne, Alexander Stottmeister
We analyze the renormalization group fixed point of the two-dimensional Ising model at criticality. In contrast with expectations from tensor network renormalization (TNR), we show…
Lattice Green functions for pedestrians: Exponential decay
Wojciech Dybalski, Alexander Stottmeister, Yoh Tanimoto
The exponential decay of lattice Green functions is one of the main technical ingredients of the Bałaban's approach to renormalization. We give here a self-contained proof, whose v…
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…
Anyon braiding and the renormalization group
Alexander Stottmeister
A braiding operation defines a real-space renormalization group for anyonic chains. The resulting renormalization group flow can be used to define a quantum scaling limit by operat…
Quantum Simulation of Conformal Field Theory
Tobias J. Osborne, Alexander Stottmeister
Conformal field theory, describing systems with scaling symmetry, plays a crucial role throughout physics. We describe a quantum algorithm to simulate the dynamics of conformal fie…
Conformal field theory from lattice fermions
Tobias J. Osborne, Alexander Stottmeister
We provide a rigorous lattice approximation of conformal field theories given in terms of lattice fermions in 1+1-dimensions, focussing on free fermion models and Wess-Zumino-Witte…
Scaling limits of lattice quantum fields by wavelets
Vincenzo Morinelli, Gerardo Morsella, Alexander Stottmeister +1
We present a rigorous renormalization group scheme for lattice quantum field theories in terms of operator algebras. The renormalization group is considered as an inductive system…
Operator-algebraic renormalization and wavelets
Alexander Stottmeister, Vincenzo Morinelli, Gerardo Morsella +1
We report on a rigorous operator-algebraic renormalization group scheme and construct the continuum free field as the scaling limit of Hamiltonian lattice systems using wavelet the…