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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, Barry C. Sanders

DOI 10.1103/PhysRevA.88.022303 · Physical Review A

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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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