Discrete-time quantum walk with nitrogen-vacancy centers in diamond coupled to a superconducting flux qubit

Ali Ü. C. Hardal, Peng Xue, Yutaka Shikano, Özgür E. Müstecaplıoğlu, and Barry C. Sanders

Phys. Rev. A 88, 022303 – Published 1 August 2013

Abstract

We propose a quantum-electrodynamics scheme for implementing the discrete-time, coined quantum walk with the walker corresponding to the phase degree of freedom for a quasimagnon field realized in an ensemble of nitrogen-vacancy centers in diamond. The coin is realized as a superconducting flux qubit. Our scheme improves on an existing proposal for implementing quantum walks in cavity quantum electrodynamics by removing the cumbersome requirement of varying drive-pulse durations according to mean quasiparticle number. Our improvement is relevant to all indirect-coin-flip cavity quantum-electrodynamics realizations of quantum walks. Our numerical analysis shows that this scheme can realize a discrete quantum walk under realistic conditions.

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Received 6 January 2013

DOI:https://doi.org/10.1103/PhysRevA.88.022303

Authors & Affiliations

Ali Ü. C. Hardal^1,2, Peng Xue³, Yutaka Shikano^2,4,*, Özgür E. Müstecaplıoğlu^1,†, and Barry C. Sanders^5,6

¹Department of Physics, Koç University, İstanbul 34450, Turkey
²Research Center of Integrative Molecular Systems (CIMoS), Institute for Molecular Science, Okazaki, Aichi 444-8585, Japan
³Department of Physics, Southeast University, Nanjing 211189, China
⁴Schmid College of Science and Technology, Chapman University, Orange, California 92866, USA
⁵Institute for Quantum Science and Technology, University of Calgary, Alberta, Canada T2N 1N4
⁶Hefei National Laboratory for Physical Sciences at the Microscale, University of Science and Technology of China, 201315 Shanghai, P. R. China

^*yshikano@ims.ac.jp
^†omustecap@ku.edu.tr

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Vol. 88, Iss. 2 — August 2013

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