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Quantum Functions

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
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.

years

2026 1 2025 1

verdicts

UNVERDICTED 2

representative citing papers

Quantum graphs of homomorphisms

quant-ph · 2026-01-14 · 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.

Monoidal Quantaloids

math.CT · 2025-04-25 · 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.

citing papers explorer

Showing 2 of 2 citing papers.

  • Quantum graphs of homomorphisms quant-ph · 2026-01-14 · unverdicted · none · ref 21 · internal anchor

    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.

  • Monoidal Quantaloids math.CT · 2025-04-25 · unverdicted · none · ref 24 · internal anchor

    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.