Continuous unitary maps near the identity admit exact Kolmogorov-Arnold decompositions as exp of summed univariate anti-Hermitian fields or as products of univariate matrix exponentials; the results fail globally on U(n).
A Numerical Implementation of Kolmogorov’s Superpositions II
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Quantum Kolmogorov--Arnold representation theorem for continuous unitary-valued maps
Continuous unitary maps near the identity admit exact Kolmogorov-Arnold decompositions as exp of summed univariate anti-Hermitian fields or as products of univariate matrix exponentials; the results fail globally on U(n).