## Unusual properties of quantum walks

Alexander Rivosh, Researcher, the Center for Quantum Computer Science, University of Latvia 24 July 2018, 15:00-16:30 SkolTech, TPOC-4, Nobel str. 1, Red Building, 3rd floor, Room 351 ABSTRACT. Quantum walks proved to be a useful tool for the design of quantum algorithms. Local search, element distinctness, NAND formula evaluation – that is only a few examples for problems where quantum walk based algorithms exist. We consider quantum walk as an algorithmic tool to perform a search on different graphs. We have to take into account an existence of the whole class of exceptional configurations when we use a quantum walk for search applications. Quantum walk based search algorithms fail to[…]