  It is quite relevant the extension of decoration transformation for quantum
spin models since most of the real materials could be well described by
Heisenberg type models. Here we propose an exact quantum decoration
transformation and also showing interesting properties such as the persistence
of symmetry and the symmetry breaking during this transformation. Although the
proposed transformation, in principle, cannot be used to map exactly a quantum
spin lattice model into another quantum spin lattice model, since the operators
are non-commutative. However, it is possible the mapping in the "classical"
limit, establishing an equivalence between both quantum spin lattice models. To
study the validity of this approach for quantum spin lattice model, we use the
Zassenhaus formula, and we verify how the correction could influence the
decoration transformation. But this correction could be useless to improve the
quantum decoration transformation because it involves the
second-nearest-neighbor and further nearest neighbor couplings, which leads
into a cumbersome task to establish the equivalence between both lattice
models. This correction also gives us valuable information about its
contribution, for most of the Heisenberg type models, this correction could be
irrelevant at least up to the third order term of Zassenhaus formula. This
transformation is applied to a finite size Heisenberg chain, comparing with the
exact numerical results, our result is consistent for weak xy-anisotropy
coupling. We also apply to bond-alternating Ising-Heisenberg chain model,
obtaining an accurate result in the limit of the quasi-Ising chain.
