Demonstrates 25 theorems on controlled-unitary networks, revealing their structural significance in quantum circuits.
Paper v19. 25 theorems including exchange symmetry of the bond space (T25): the rank-2 trap, the coupling metric, and the structural role of each gate in the universal set. 43,000+ tests, zero failures. Experimentally confirmed on IBM Kingston. Topology-aware compiler with r⊗θ⊗E optimization.
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Mattson (2026) studied this question.
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