  We analyze Weyl algebra of quantum angular momentum system and construct
qubit subalgebra out of it. We show that the commutant of this qubit subalgebra
is isomorphic to the original algebra and prove the tensor product structure
between qubit subalgebra and its commutant. This construction can be iterated
to construct arbitrary number of qubit subalgebras from a single quantum
system. We show a simple experimental realization of this proposed scheme using
orbital angular momentum of single photons. We briefly discuss about
construction of qudit subalgbra and generalization to other infinite
dimensional systems.
