# Multiply-Controlled X Gate/MCT Gate Implementation

I am currently trying to implement a multi-controlled Toffoli/multi-controlled X gate in Braket, but I am confused as to the general concept of cascaded X gates and other implementations. I've read Barenco, Shors, et al's work "Elementary Gates for Quantum Computation", which touches on this, but it's not really illuminating the concept for me. I am partial to the V-gate method used in Barenco, as no ancillary qubits are required, but I'm open to the cascaded-X method as well. Any additional sources or ideas would be greatly appreciated.

In particular, page 183 and 184 goes into details on how to implement a general implementation of $$C^nX$$ or $$C^nU$$ gate.