  We present an ab initio determination of spin responses of the unitary Fermi
gas, based on finite temperature quantum Monte Carlo calculations and the Kubo
linear-response formalism. We determine the temperature dependence of the spin
susceptibility and the spin conductivity. We show that both quantities exhibit
suppression above the critical temperature of the superfluid to normal phase
transition due to presence of the Cooper pairs. The spin diffusion transport
coefficient does not display the existence of a minimum in the vicinity of the
critical temperature and it drops to very low values D_s approx 0.8hbar/m in
the superfluid phase. All these spin observables show a smooth and monotonic
behavior with temperature when crossing the critical temperature T_c, until the
Fermi liquid regime is attained at the temperature T*, where the pseudogap
regime disappears.
