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Simulation of the Majorana equation in circuit QED

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Abstract

We propose a scheme to simulate the 1D Majorana equation with two Cooper pair boxes coupled to a 1D superconducting transmission line resonator, where strong coupling limit can be achieved. With proper choice of systematic parameters, we are able to engineer different kind of interactions, which are indispensable for simulating the Majorana equation in an enlarged real Hilbert space. Measurement of a conserved observable, i.e., the pseudo-helicity, via transmission spectrum of the cavity field can verify the simulated Majorana wave function. The measurement is experimentally resolvable according to our estimation based on conservative experimental parameters.

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Acknowledgments

This work was supported by NFRPC (No. 2013CB921804, No. 2011CB922104) NSFC (No. 60978009 and No. 91121023), the PCSIRT (No. IRT1243), and the Zhongshan municipal scientific project (No. 20123A326).

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Authors and Affiliations

  1. Laboratory of Quantum Engineering and Quantum Materials, South China Normal University, Guangzhou, 510006, China

    Sheng Liu, Chuan-Jia Shan, Zhi-Ming Zhang & Zheng-Yuan Xue

  2. School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou, 510006, China

    Sheng Liu & Zheng-Yuan Xue

  3. College of Physics and Electronic Science, Hubei Normal University, Huangshi, 435002, China

    Chuan-Jia Shan

  4. Laboratory of Photonic Information Technology and SIPSE, South China Normal University, Guangzhou, 510006, China

    Zhi-Ming Zhang

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  1. Sheng Liu
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Correspondence to Zheng-Yuan Xue.

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Liu, S., Shan, CJ., Zhang, ZM. et al. Simulation of the Majorana equation in circuit QED. Quantum Inf Process 13, 1813–1823 (2014). https://doi.org/10.1007/s11128-014-0777-z

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