We propose a quantum computer scheme using spin waves for quantum-informati
on exchange. We demonstrate that spin waves in the antiferromagnetic layer
grown on silicon may be used to perform single-qubit unitary transformation
s together with two-qubit operations during the cycle of computation. The m
ost attractive feature of the proposed scheme is the possibility of random
access to any qubit and, consequently, the ability to recognize two qubit g
ates between any two distant qubits. Also, spin waves allow us to eliminate
the use of a strong external magnetic field and microwave pulses. By estim
ate, the proposed scheme has as high as 10(4) ratio between quantum system
coherence time and the time of a single computational step.