CNOT-Distance, deciding whether a given invertible binary matrix can be implemented with at most K CNOT gates under all-to-all connectivity, is NP-complete.
LetG= (V, E) be a finite simple graph, and write n=|V|, m=|E|
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CNOT-Distance is NP-complete under all-to-all connectivity
CNOT-Distance, deciding whether a given invertible binary matrix can be implemented with at most K CNOT gates under all-to-all connectivity, is NP-complete.