Abstract
Recent papers in Physical Review A have considered small quantum circuit decompositions in terms of a minimal number of controlled-NOT (CNOT) gates. Specifically, we point out errors in the papers by Vidal and Dawson [Phys. Rev. A 69, 010301(R) (2004)] and by Shende et al. [Phys. Rev. A 70, 012310 (2004)].
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