|Title||Universal one-dimensional discrete-time quantum walks and their implementation on near term quantum hardware|
|Publication Type||Journal Article|
|Year of Publication||2020|
|Authors||Singh, S, Alderete, CH, Balu, R, Monroe, C, Linke, NM, Chandrashekar, CM|
Quantum walks are a promising framework for developing quantum algorithms and quantum simulations. Quantum walks represent an important test case for the application of quantum computers. Here we present different forms of discrete-time quantum walks and show their equivalence for physical realizations. Using an appropriate digital mapping of the position space on which a walker evolves onto the multi-qubit states in a quantum processor, we present different configurations of quantum circuits for the implementation of discrete-time quantum walks in one-dimensional position space. With example circuits for a five qubit machine we address scalability to higher dimensions and larger quantum processors.