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arXiv · 2609.08035

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

Yi-Yu Lin
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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.

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Yi-Yu Lin. 2026-09-07. Sklar's Theorem and Quantum State Reconstruction from All-Context Dependence. https://arxiv.org/abs/2609.08035

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