  Braiding of non-Abelian Majorana anyons is a first step towards using them in
quantum computing. We propose a protocol for braiding Majorana zero modes
formed at the edges of nanowires with strong spin orbit coupling and proximity
induced superconductivity. Our protocol uses high frequency virtual tunneling
between the ends of the nanowires in a tri-junction, which leads to an
effective low frequency coarse grained dynamics for the system, to perform the
braid. The braiding operation is immune to amplitude noise in the drives, and
depends only on relative phase between the drives, which can be controlled by
usual phase locking techniques. We also show how a phase gate, which is
necessary for universal quantum computation, can be implemented with our
protocol.
