Relaxation to equilibrium in controlled-not quantum networks

The approach to equilibrium of quantum mechanical systems is a topic as old mechanics itself, but has recently seen surge interest due applications in technologies, including, not limited to, computation and sensing. mechanisms by which system approaches its long-time, limiting stationary state are fascinating and, sometimes, quite different from their classical counterparts. In this respect, networks represent mesoscopic interest. such case, the graph encodes elementary (say qubits) at vertices, while links define interactions between them. We study here relaxation for fully connected network with CNOT gates representing interaction constituting qubits. give number results equilibration these systems, including analytic estimates. checked using numerical methods up 15-16 It emphasized way size controls convergency.