A method for decreasing entropy of a quantum system, for example nuclear spins. The quantum system comprising at least two subsystems, a first subsystem of elements with a first relaxation time (hereinafter—computation elements) and a second subsystem of elements with a second relaxation time (hereinafter—reset elements), the second relaxation time being shorter than the first relaxation time. The method comprises adiabatically decreasing the entropy of the computation elements in the system (by entropy compression, entropy transfer, or both) and increasing the entropy of at least some reset elements, so that the entropy of the subgroup of reset elements is overall increased; and waiting for the total entropy of the subgroup of reset elements to decrease, wherein the above two steps are carried out at least once.