A tuning method based on repeated circuit blocks claims universal 3, 4, and 5-qubit circuits with 16, 64, and 256 CNOTs, near the theoretical lower bounds.
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Compiling universal quantum circuits
A tuning method based on repeated circuit blocks claims universal 3, 4, and 5-qubit circuits with 16, 64, and 256 CNOTs, near the theoretical lower bounds.