A multigraph approach to confusability in quantum channels
Quantum Algebra
2026-04-08 v1 Information Theory
Functional Analysis
math.IT
Quantum Physics
Abstract
We introduce a new approach to confusability in a quantum channel, namely quantum confusability multigraph, which incorporates the output information into the graphical structure. By``counting" the edges between two vertices of this confusability multigraph, one recovers the traditional confusability ``single-edged" graph of the channel. With this physical motivation, we therefore develop a theory of quantum multigraphs from Weaver's quantum relations point of view and explore its quantum graph theoretic properties. Finally, we provide a necessary and sufficient condition characterizing those quantum multigraphs that arise as quantum confusability multigraphs.
Keywords
Cite
@article{arxiv.2604.06072,
title = {A multigraph approach to confusability in quantum channels},
author = {Sk Asfaq Hossain and Angshuman Bhattacharya},
journal= {arXiv preprint arXiv:2604.06072},
year = {2026}
}