  There exist diverse no-go theorems, ranging from no-cloning to monogamies of
quantum correlations and Bell inequality violations, which restrict the
processing of information in the quantum world. In a multipartite scenario,
monogamy of Bell inequality violation and exclusion principle of dense coding
are such theorems, which impede the ability of the system to have quantum
advantage between all its parts. In ordered spin systems, the twin restrictions
of translation invariance and monogamy of quantum correlations, in general,
enforce the bipartite states to be neither Bell inequality violating nor
dense-codeable. We show that these quantum characteristics, viz. Bell
inequality violation and dense-codeability, can be resurrected, and thereby the
no-go theorems overcome, by having quenched disorder in the system parameters
leading to quantum spin glass or quantum random field models. We show that the
quantum characteristics are regained even though the quenched averaging keeps
the disordered spin chains translationally invariant at the physically relevant
level of observables. The results show that it is possible to conquer
constraints imposed by quantum mechanics in ordered systems by introducing
impurities.
