  We propose a construction of kinetically constrained models using the
Markovian quantum dynamics under strong dissipation. Engineering the
Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation through classical noise,
we show that strong dissipation leads to the emergent decoherence-free
subspaces, within which constrained quantum many-body unitary dynamics can take
place. We argue that the unitary dynamics constructed by the GKSL dynamics is
more tightly constrained than that constructed by the strongly interacting
Hamiltonian, where the interactions have the same form with the GKSL jump
operators. As an example, we demonstrate that a one-dimensional spin system
with two-site dissipation leads to the kinetically constrained "PXQ" model,
which exhibits the free domain-wall motion with an additional frozen-block
structure. Under a uniform magnetic field, the PXQ model shows the domain-wall
localization, similar to the Wannier-Stark localization. We then couple two PXQ
chains with the magnetic field by an inter-chain interaction. We discover that,
while localization of the domain walls persists despite the interactions for
typical parameter regimes, a non-trivial partial delocalization appears for a
certain parameter line.
