  We first discuss a framework for discrete quantum processes (DQP). It is
shown that the set of q-probability operators is convex and its set of extreme
elements is found. The property of consistency for a DQP is studied and the
quadratic algebra of suitable sets is introduced. A classical sequential growth
process is "quantized" to obtain a model for discrete quantum gravity called a
quantum sequential growth process (QSGP). Two methods for constructing concrete
examples of QSGP are provided.
