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Generic detection-based error mitigation using quantum autoencoders

Xiao-Ming Zhang1, Weicheng Kong2, Muhammad Usman Farooq3, Man-Hong Yung4,5, Guoping Guo6, and Xin Wang1,7,*

  • 1Department of Physics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong SAR, China
  • 2Origin Quantum Computing Company Limited, Hefei, Anhui 230088, China
  • 3Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong SAR, China
  • 4Shenzhen Institute for Quantum Science and Engineering and Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China
  • 5Shenzhen Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
  • 6CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026, China
  • 7City University of Hong Kong Shenzhen Research Institute, Shenzhen, Guangdong 518057, China

  • *x.wang@cityu.edu.hk

Phys. Rev. A 103, L040403 – Published 22 April, 2021

DOI: https://doi.org/10.1103/PhysRevA.103.L040403

Abstract

Efficient error-mitigation techniques demanding minimal resources is key to quantum information processing. We propose a generic protocol to mitigate quantum errors using detection-based quantum autoencoders. In our protocol, the quantum data are compressed into a latent subspace while leaving errors outside, the latter of which is then removed by a measurement and postselection. Compared to previously developed methods, our protocol on the one hand requires no extra qubits, and on the other hand it has a near-optimal denoising power, in which under reasonable requirements all errors detected outside of the latent subspace can be removed, while those inside the subspace cannot be removed by any means. Our detection-based quantum autoencoders are therefore particularly useful for near-term quantum devices in which controllable qubits are limited while noise reduction is important.

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