Coherent Coupling of a Gap-Tunable Flux Qubit to an Electron Spin Ensemble in Diamond

Xiaobo Zhu ^{1}, Shiro Saito^{1}, Alexander Kemp^{1}, Kosuke Kakuyanagi^{1}, Shinichi Karimoto^{1},

Hayato Nakano^{1}, William J. Munro^{2}, Yasuhiro Tokura^{1}, Mark S. Everitt^{3}, Kae Nemoto^{3},

Makoto Kasu^{4}, Norikazu Mizuochi^{5,6}, and Kouichi Semba^{1}

^{1}Physical Science Laboratory,^{2}Optical Science Laboratory,^{3}National Institute of Informatics,

^{4}Materials Science Laboratory,^{5}Osaka University,^{6}PREST-JSTDuring the last several years, significant effort into superconducting quantum bits (qubits) based on Josephson junctions have been made. However, the experimentally reported coherence times are likely to be insufficient for future large-scale quantum computing. A natural solution is an engineered quantum memory based on atomic and molecular systems. An electron spin trapped at a nitrogen-vacancy (NV

^{-}) center in diamond is known to have a very long coherent time and can be coupled via mutual inductance to a flux qubit. It is therefore an ideal candidate to acts as a quantum memory for our flux qubit.

We have designed and fabricated an upgraded flux qubit, whose gap can be tunedin situby two high bandwidth control lines [1], giving two fundamental improvements: "gap control" and "σx coupling". Based on these fundamental improvements many new applications can be realized. For example, it opens up the possibility to realize a high fidelity coupling to other quantum systems and so demonstrate a quantum memory operation.

We glued an NV^{-}diamond sample on top of our superconducting circuit. We for the first time observed an anti-crossing structure at 2.88 GHz which clearly shows a 〜70 MHz coupling between the NV^{-}spin ensemble and the gap-tunable flux qubit (Fig. 1). Furthermore we also observed the coherent exchange of a single quantum of energy between the flux qubit and a macroscopic ensemble consisting of about 6×10^{7}NV^{-}centers (Fig. 2). This is the first step towards the realization of a long-lived quantum memory and hybrid devices coupling microwave and optical systems [2].

This work was supported by KAKENHI.[1] X. Zhu et al., Appl. Phys. Lett.

97(2010) 102503.

[2] X. Zhu et al., Nature478(2011) 221.

Fig. 1. Energy spectrum of the flux qubit coupled

to an NV^{-}center ensemble.

Fig. 2. Coherent oscillations of the flux qubit / NV ^{-}

center ensemble coupled system.

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