  Classical correlations of ground states typically decay exponentially and
polynomially, respectively for gapped and gapless short-ranged quantum spin
systems. In such systems, entanglement decays exponentially even at the quantum
critical points. However, quantum discord, an information-theoretic quantum
correlation measure, survives long lattice distances. We investigate the
effects of quenched disorder on quantum correlation lengths of quenched
averaged entanglement and quantum discord, in the anisotropic XY and XYZ spin
glass and random field chains. We find that there is virtually neither
reduction nor enhancement in entanglement length while quantum discord length
increases significantly with the introduction of the quenched disorder.
