Unauthorized subsets in qudit encrypted cloning are uninformative exactly when a congruence system has only the trivial solution, classified by a greatest-common-divisor condition that extends the qubit parity case.
Unitary operator bases.Proceedings of the National Academy of Sciences, 46(4):570–579
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Classification of informative subsets in quantum encrypted cloning on qudits
Unauthorized subsets in qudit encrypted cloning are uninformative exactly when a congruence system has only the trivial solution, classified by a greatest-common-divisor condition that extends the qubit parity case.