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We consider the average quantum coherences of typical redits and qudits -vectors of real and complex Hilbert spaces - with the analytical forms stemmingfrom the symmetry of Haar-uniformly distributed random pure states. Wesubsequently study the response to disorder in spread of the typical quantumcoherence in response to glassy disorder. The disorder is inserted in the stateparameters. Even in the absence of disorder, the quantum coherencedistributions of redits and qudits are not uniform over the range of quantumcoherence, and the spreads are lower for higher dimensions. On insertion ofdisorder, the spreads decrease. This decrease in the spread of quantumcoherence distribution in response to disorder is seen to be a generic featureof typical pure states: we observe the feature for different strengths ofdisorder and for various types of disorder distributions, viz. Gaussian,uniform, and Cauchy-Lorentz. We also find that the quantum coherencedistributions become less asymmetric with increase in dimension and withinfusion of glassy disorder.

Spread and asymmetry of typical quantum coherence and their inhibition in response to glassy disorder