79 citations · 409 across the 33 of their papers we have counts for
34 papers
Integral representations of -divergences for general von Neumann algebras
Ricardo Correa da Silva, Markus B. Fröb, Gandalf Lechner +1
We define and analyze hockeystick divergences and -divergences for normal positive functionals on general von Neumann algebras, generalizing and unifying previous work in classi…
The classification problem for unitary R-Matrices with two eigenvalues
Gandalf Lechner
The problem of classifying all unitary R-matrices of arbitrary finite dimension that have precisely two distinct eigenvalues is described, working up to a natural equivalence relat…
Causal quantum-mechanical localization observables in lattices of real projections
Gandalf Lechner, Ivan Romualdo de Oliveira
Quantum-mechanical observables for spatial and spacetime localization are considered from a lattice-theoretic perspective. It is shown that when replacing the lattice of all comple…
Inclusions of Standard Subspaces
Ricardo Correa da Silva, Gandalf Lechner
Standard subspaces are closed real subspaces of a complex Hilbert space that appear naturally in Tomita-Takesaki modular theory and its applications to quantum field theory. In thi…
KMS states on -crossed products and twisted KMS functionals
Ricardo Correa da Silva, Johannes Grosse, Gandalf Lechner
KMS states on -crossed products of unital -algebras are characterized in terms of KMS states and twisted KMS functionals of . These fu…
Crossing symmetry and the crossing map
Ricardo Correa da Silva, Luca Giorgetti, Gandalf Lechner
We introduce and study the crossing map, a closed linear map acting on operators on the tensor square of a given Hilbert space that is inspired by the crossing property of quantum…