Quantum algorithms

We have studied quantum search algorithms, including Grover's algorithm, as well as an algorithm based on quantum random walks.

Here is a poster (pdf is below) from the Southwest Quantum Information and Technology network (SQuInT) workshop 2020 of our work demonstrating how Grover's search algorithm can be implemented on a quantum computer using single and two-qubit gates. Step by step decomposition from the high-level circuit to the individual quantum gates is shown.  

Correction: Last line of "Amplification Circuit", X(tensor)X matrices are shown incorrectly, but correct matrices were used in the calculations.