California State University San Bernardino Department of Computer Science and Engineering Masters Project Presentation WHAT: Implementing Dijkstra's Pathfind Using Quantum Algorithms WHO: Shing-Yung "Sean" Lo WHEN: May 21 (Thursday), 2 PM WHERE: JB-391 ADVISOR: Dr. Ernesto Gomez COMMITTEE MEMBERS: Dr. Keith Schubert and Dr. Haiyan Qiao ABSTRACT: With the recent rise in interest over quantum computing, several quantum algorithms have gained prominence for their radical approaches for solving traditional problems. This thesis explores the viability of implementing Grover's search (a quan- tum algorithm) to implement Dijkstra's algorithm. The quantum algorithm will be used to replace the find-minimum function. However, in order for this to be practical, the quantum algorithm would have to return a position. In addition, it would also have to be able to search for multiple answers within the search space. This problem is solved by extending Grover's search, by performing the oracle onto the values within the register that exists in the search space, then performing the inversion about mean on the entire register which contains both the value and position.