High-dimensional Grover multi-target search algorithm on Cirq

High-dimensional computing, compared to traditional qubit computing, has the advantage of operating in a larger scale and storing more information. Considering its advantages, it is of great importance to adapt existing quantum algorithms to high dimension for quantum computing. Yet, the challenges pertaining to high-dimensional quantum computing have limited the studies in this field. In this study, the Grover Search Algorithm for two, three and four targets in high dimension is implemented on Cirq. We concluded that computing in high dimension provides an advantage in terms of capacity and number of qudits used.