  Entanglement is an important phenomenon that enables quantum information
processing algorithms and quantum communications protocols. Although entangled
quantum states are often described in radix-2, higher-radix qudits can become
entangled as well. In this work, we both introduce partial entanglement, a
concept that does not exist for radix-2 quantum systems, and differentiate
between partial and maximal entanglement within non-binary quantum information
processing systems. We also develop and present higher-radix maximal
entanglement generator circuits that are analogous to the well-known Bell state
generator for binary quantum systems. Because higher-dimensioned qudits can be
subjected to entangling processes that result in either partially or maximally
entangled states, we demonstrate how higher-radix qudit circuits can be
composed to generate these varying degrees of partial quantum entanglement.
Theoretical results are provided for the general case where the radix is
greater than two, and specific results based on a pair of radix-4 qudits are
described.
