Sklar's Theorem and Quantum State Reconstruction from All-Context Dependence

Abstract: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. For non-product two-qubit states, the dependence nuclei over all local binary projective measurement contexts determine the state up to at most a discrete double-spin-flip ambiguity. The corresponding scalar optimization, combined with the quantum total correlation, reproduces global quantum discord.

arXiv:2609.08035 [quant-ph]

(or arXiv:2609.08035v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.08035 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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