Generic detection-based error mitigation using quantum autoencoders

作     者：Xiao-Ming Zhang Weicheng Kong Muhammad Usman Farooq Man-Hong Yung Guoping Guo Xin Wang 

作者机构：Department of Physics City University of Hong Kong Tat Chee Avenue Kowloon Hong Kong SAR China Origin Quantum Computing Company Limited Hefei Anhui 230088 China Department of Mathematics City University of Hong Kong Tat Chee Avenue Kowloon Hong Kong SAR China Shenzhen Institute for Quantum Science and Engineering and Department of Physics Southern University of Science and Technology Shenzhen 518055 China Shenzhen Key Laboratory of Quantum Science and Engineering Southern University of Science and Technology Shenzhen 518055 China CAS Key Laboratory of Quantum Information University of Science and Technology of China Hefei Anhui 230026 China City University of Hong Kong Shenzhen Research Institute Shenzhen Guangdong 518057 China 

出 版 物：《Physical Review A》 (Phys. Rev. A)

年 卷 期：2021年第103卷第4期

页      面：L040403-L040403页

核心收录：

基　　金：Guangdong Provincial Key Laboratory, (2019B121203002) Guangdong Innovative and Entrepreneurial Research Team Program, (2016ZT06D348) National Natural Science Foundation of China, NSFC, (11625419, 11874312, 11875160, U1801661) Research Grants Council, University Grants Committee, RGC, UGC, (CityU 11303617, CityU 11304018, CityU 11304920) Natural Science Foundation of Guangdong Province, (2017B030308003) Science, Technology and Innovation Commission of Shenzhen Municipality, (JCYJ20170412152620376, JCYJ20170817105046702, KYTDPT20181011104202253) National Key Research and Development Program of China, NKRDPC, (2016YFA0301700) Economy, Trade and Information Commission of Shenzhen Municipality, (201901161512) Special Project for Research and Development in Key areas of Guangdong Province, (2018B030326001) 

主　　题：Machine learning Quantum control Quantum information processing 

摘      要：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.