中国物理B ›› 2019, Vol. 28 ›› Issue (1): 10304-010304.doi: 10.1088/1674-1056/28/1/010304

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

Average fidelity estimation of twirled noisy quantum channel using unitary 2t-design

Linxi Zhang(张林曦), Changhua Zhu(朱畅华), Changxing Pei(裴昌幸)   

  1. 1 State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an 710071, China;
    2 Science and Technology on Communication Networks Laboratory, Shijiazhuang 050081, China
  • 收稿日期:2018-07-09 修回日期:2018-11-04 出版日期:2019-01-05 发布日期:2019-01-05
  • 通讯作者: Linxi Zhang E-mail:zhanglinxi@stu.xidian.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 61372076 and 61701375), the 111 Project, China (Grant No. B08038), the Key Research and Development Plan of Shannxi Province, China (Grant No. BBD24017290001), and the Foundation of Science and Technology on Communication Networks Laboratory, China (Grant No. KX172600031).

Average fidelity estimation of twirled noisy quantum channel using unitary 2t-design

Linxi Zhang(张林曦)1,2, Changhua Zhu(朱畅华)1, Changxing Pei(裴昌幸)1   

  1. 1 State Key Laboratory of Integrated Services Networks, Xidian University, Xi'an 710071, China;
    2 Science and Technology on Communication Networks Laboratory, Shijiazhuang 050081, China
  • Received:2018-07-09 Revised:2018-11-04 Online:2019-01-05 Published:2019-01-05
  • Contact: Linxi Zhang E-mail:zhanglinxi@stu.xidian.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 61372076 and 61701375), the 111 Project, China (Grant No. B08038), the Key Research and Development Plan of Shannxi Province, China (Grant No. BBD24017290001), and the Foundation of Science and Technology on Communication Networks Laboratory, China (Grant No. KX172600031).

摘要:

We propose a method to estimate the average fidelity using the unitary 2t-design of a twirled noisy channel, which is suitable for large-scale quantum circuits. Compared with the unitary 2-design in randomized benchmarking, the unitary 2t-design for the twirling of noisy channels is more flexible in construction and can provide more information. In addition, we prove that the proposed method provides an efficient and reliable estimation of the average fidelity in benchmarking multistage quantum gates and estimating the weakly gate- and time-dependent noise. For time-dependent noise, we provide a scheme of moment superoperator to analyze the noise in different experiments. In particular, we give a lower bound on the average fidelity of a channel with imperfect implementation of benchmarking and state preparation and measurement errors (SPAM).

关键词: quantum channel, average fidelity, unitary 2t-design

Abstract:

We propose a method to estimate the average fidelity using the unitary 2t-design of a twirled noisy channel, which is suitable for large-scale quantum circuits. Compared with the unitary 2-design in randomized benchmarking, the unitary 2t-design for the twirling of noisy channels is more flexible in construction and can provide more information. In addition, we prove that the proposed method provides an efficient and reliable estimation of the average fidelity in benchmarking multistage quantum gates and estimating the weakly gate- and time-dependent noise. For time-dependent noise, we provide a scheme of moment superoperator to analyze the noise in different experiments. In particular, we give a lower bound on the average fidelity of a channel with imperfect implementation of benchmarking and state preparation and measurement errors (SPAM).

Key words: quantum channel, average fidelity, unitary 2t-design

中图分类号:  (State reconstruction, quantum tomography)

  • 03.65.Wj
03.67.Lx (Quantum computation architectures and implementations)