  Distant quantum control via quantum gates represents an essential step toward
realizing distributed quantum networks. An efficient theoretical protocol for
the dual non-local implementation of controlled-not (CNOT) gates between two
separated partners is presented in this regard. The suggested protocol requires
1~ebit with local operations and classical communication channels. The
efficiency of the teleportation scheme is quantified through an infidelity
measure. The numerical results show that the infidelity of performing the CNOT
gate between legitimate partners depends on the initial qubit settings. It is
also shown that the protocol is performed efficiently if the CNOT control qubit
and the auxiliary qubit are prepared in the same direction. Furthermore, we
provide a noise analysis for the suggested scheme. We find that by maintaining
the noise strengths under the threshold $\frac{1}{4}$, one can achieve the dual
non-local CNOT gate optimally.
