  The CNOT gate is a two-qubit gate which is essential for universal quantum
computation. A well-established approach to implement it within Majorana-based
qubits relies on subsequent measurement of (joint) Majorana parities. We
propose an alternative scheme which operates a protected CNOT gate via the
holonomic control of a handful of system parameters, without requiring any
measurement. We show how the adiabatic tuning of pair-wise couplings between
Majoranas can robustly lead to the full entanglement of two qubits, insensitive
with respect to small variations in the control of the parameters.
