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

Publication ,  Journal Article
Singh, S; Alderete, CH; Balu, R; Monroe, C; Linke, NM; Chandrashekar, CM
Published in: Physical Review A
December 1, 2021

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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Published In

Physical Review A

DOI

EISSN

2469-9934

ISSN

2469-9926

Publication Date

December 1, 2021

Volume

104

Issue

6

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 34 Chemical sciences
 

Citation

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Singh, S., Alderete, C. H., Balu, R., Monroe, C., Linke, N. M., & Chandrashekar, C. M. (2021). Quantum circuits for the realization of equivalent forms of one-dimensional discrete-time quantum walks on near-term quantum hardware. Physical Review A, 104(6). https://doi.org/10.1103/PhysRevA.104.062401
Singh, S., C. H. Alderete, R. Balu, C. Monroe, N. M. Linke, and C. M. Chandrashekar. “Quantum circuits for the realization of equivalent forms of one-dimensional discrete-time quantum walks on near-term quantum hardware.” Physical Review A 104, no. 6 (December 1, 2021). https://doi.org/10.1103/PhysRevA.104.062401.
Singh S, Alderete CH, Balu R, Monroe C, Linke NM, Chandrashekar CM. Quantum circuits for the realization of equivalent forms of one-dimensional discrete-time quantum walks on near-term quantum hardware. Physical Review A. 2021 Dec 1;104(6).
Singh, S., et al. “Quantum circuits for the realization of equivalent forms of one-dimensional discrete-time quantum walks on near-term quantum hardware.” Physical Review A, vol. 104, no. 6, Dec. 2021. Scopus, doi:10.1103/PhysRevA.104.062401.
Singh S, Alderete CH, Balu R, Monroe C, Linke NM, Chandrashekar CM. Quantum circuits for the realization of equivalent forms of one-dimensional discrete-time quantum walks on near-term quantum hardware. Physical Review A. 2021 Dec 1;104(6).

Published In

Physical Review A

DOI

EISSN

2469-9934

ISSN

2469-9926

Publication Date

December 1, 2021

Volume

104

Issue

6

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 34 Chemical sciences