pith. sign in

arxiv: 1101.1694 · v3 · pith:C3UPF233new · submitted 2011-01-10 · 🧮 math.OA

Quantum Functions

Andre Kornell This is my paper
classification 🧮 math.OA
keywords neumannquantumnotionalgebraalgebrascoincidescorrespondingdefined
0
0 comments X
read the original abstract

Weaver has recently defined the notion of a quantum relation on a von Neumann algebra. We demonstrate that the corresponding notion of a quantum function between two von Neumann algebras coincides with that of a normal unital $*$-homomorphism in the opposite direction. This is essentially a reformulation of a previously known result from the theory of Hilbert von Neumann modules.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quantum graphs of homomorphisms

    quant-ph 2026-01 unverdicted novelty 7.0

    qGph is a closed symmetric monoidal category of quantum graphs where [G,H] is nonempty precisely when a quantum strategy wins the (G,H)-homomorphism game.

  2. Monoidal Quantaloids

    math.CT 2025-04 unverdicted novelty 6.0

    Dagger compact quantaloids are equipped with monoidal structures, enabling internalization of power sets and preordered structures in qRel and V-Rel as generalizations of quantization and fuzzification.