  We propose how to achieve chiral photon blockade by spinning a nonlinear
optical resonator. We show that by driving such a device at a fixed direction,
completely different quantum effects can emerge for the counter-propagating
optical modes, due to the spinning-induced breaking of time-reversal symmetry,
which otherwise is unattainable for the same device in the static regime. Also,
we find that in comparison with the static case, robust non-classical
correlations against random backscattering losses can be achieved for such a
quantum chiral system. Our work, extending previous works on the spontaneous
breaking of optical chiral symmetry from the classical to purely quantum
regimes, can stimulate more efforts towards making and utilizing various chiral
quantum effects, including applications for chiral quantum networks or
noise-tolerant quantum sensors.
