%0 Journal Article %D 2020 %T Universal one-dimensional discrete-time quantum walks and their implementation on near term quantum hardware %A Shivani Singh %A Cinthia H. Alderete %A Radhakrishnan Balu %A Christopher Monroe %A Norbert M. Linke %A C. M. Chandrashekar %X

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.

%8 1/30/2020 %G eng %U https://arxiv.org/abs/2001.11197