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arXiv · 2001.11197

Quantum circuits for the realization of equivalent forms of one-dimensional discrete-time quantum walks on near-term quantum hardware

Shivani Singh·Cinthia H. Alderete·Radhakrishnan Balu·Christopher Monroe·Norbert M. Linke·C. M. Chandrashekar
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Abstract

Quantum walks are a promising framework for developing quantum algorithms and quantum simulations. They represent an important test case for the application of quantum computers. Here we present different forms of discrete-time quantum walks (DTQWs) and show their equivalence for physical realizations. Using an appropriate digital mapping of the position space on which a walker evolves to the multiqubit states of a quantum processor, we present different configurations of quantum circuits for the implementation of DTQWs in one-dimensional position space. We provide example circuits for a five-qubit processor and address scalability to higher dimensions as well as larger quantum processors.

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Shivani Singh, Cinthia H. Alderete, Radhakrishnan Balu, Christopher Monroe, Norbert M. Linke, C. M. Chandrashekar. 2020-01-30. Quantum circuits for the realization of equivalent forms of one-dimensional discrete-time quantum walks on near-term quantum hardware. https://doi.org/10.1103/physreva.104.062401

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