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On alternating quantum walks

Author

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  • Rousseva, Jenia
  • Kovchegov, Yevgeniy

Abstract

We study an inhomogeneous quantum walk on a line that evolves according to alternating coins, each a rotation matrix. For the quantum walk with the coin alternating between clockwise and counterclockwise rotations by the same angle, we derive a closed form solution for the propagation of probabilities, and provide its asymptotic approximation via the method of stationary phase. Finally, we observe that for a π4 angle, this alternating rotation walk will replicate the renown Hadamard walk.

Suggested Citation

  • Rousseva, Jenia & Kovchegov, Yevgeniy, 2017. "On alternating quantum walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 470(C), pages 309-320.
    • Handle: RePEc:eee:phsmap:v:470:y:2017:i:c:p:309-320
    DOI: 10.1016/j.physa.2016.11.138
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    References listed on IDEAS

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    1. Di Molfetta, Giuseppe & Brachet, Marc & Debbasch, Fabrice, 2014. "Quantum walks in artificial electric and gravitational fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 397(C), pages 157-168.
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    Keywords

    Quantum walk;

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