# Transform circuit with 3 CNOTs in one with limited interactions on the first qubit

Is it possible to translate the above circuit into an equivalent one where the number of interaction gates with the first qubit is 1?

Yes, it is possible.

First, let's recall the bridge-gate, which is

Then now, using this fact, we have that

is equivalent to

which can be simplified to

Therefore,

• Thanks a lot! Do you think it might be generalizable to any 3-qubit circuit? May 14 at 17:27