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Algebraic Kolmogorov--Arnold representation theorem for quantum measurement

Dzhenzher, Sviatoslav V.
arXiv (OAI Expanded) · Papers
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functional-analysisquantum-physics
We establish an operational framework connecting the classical Kolmogorov--Arnold (KA) representation theorem to quantum information theory. By introducing and proving an algebraic, bounded-degree polynomial version of the theorem, we demonstrate that any target physical property of an unentangled m
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