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quant-ph2026
Sklar's Theorem and Quantum State Reconstruction from All-Context Dependence
Yi-Yu Lin
Sklar's theorem separates the marginals of a joint distribution from its dependence structure. We apply this viewpoint to Born statistics generated by local quantum measurements. F…
quant-ph2026
Quantum Information Flow under String-Diagram Rewriting
Yi-Yu Lin, Chen-Ye Li
We revisit the notion of ``quantum information flow'' introduced in Bob Coecke's early work and seek to give it an explicit string-diagrammatic formalization. Given a semantics pre…