Nonadiabatic holonomic quantum computation with all-resonant control

Zheng-Yuan Xue, Jian Zhou, Yao-Ming Chu, and Yong Hu
Phys. Rev. A 94, 022331 – Published 24 August 2016

Abstract

The implementation of holonomic quantum computation on superconducting quantum circuits is challenging due to the general requirement of controllable complicated coupling between multilevel systems. Here we solve this problem by proposing a scalable circuit QED lattice with simple realization of a universal set of nonadiabatic holonomic quantum gates. Compared with the existing proposals, we can achieve both the single and two logical qubit gates in a tunable and all-resonant way through a hybrid transmon–transmission-line encoding of the logical qubits in the decoherence-free subspaces. This distinct advantage thus leads to quantum gates with very fast speeds and consequently very high fidelities. Therefore, our scheme paves a promising way towards the practical realization of high-fidelity nonadiabatic holonomic quantum computation.

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  • Received 26 January 2016
  • Revised 27 June 2016

DOI:https://doi.org/10.1103/PhysRevA.94.022331

©2016 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Zheng-Yuan Xue1,*, Jian Zhou2,1,3,†, Yao-Ming Chu4, and Yong Hu4,‡

  • 1Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China
  • 2Department of Electronic Communication Engineering, Anhui Xinhua University, Hefei 230088, China
  • 3National Laboratory of Solid State Microstructure, Nanjing University, Nanjing 210093, China
  • 4School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China

  • *zyxue@scnu.edu.cn
  • jianzhou8627@163.com
  • huyong@mail.hust.edu.cn

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Issue

Vol. 94, Iss. 2 — August 2016

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