  The article is addressing a possibility of implementation of spin network
states on adiabatic quantum computer. The discussion is focused on application
of currently available technologies and analyzes a concrete example of D-Wave
machine. A class of simple spin network states which can be implemented on the
Chimera graph architecture of the D-Wave quantum processor is introduced.
However, extension beyond the currently available quantum processor topologies
is required to simulate more sophisticated spin network states, which may
inspire development of new generations of adiabatic quantum computers. A
possibility of simulating Loop Quantum Gravity is discussed and a method of
solving a graph non-changing scalar (Hamiltonian) constraint with the use of
adiabatic quantum computations is proposed.
