中国物理B ›› 2019, Vol. 28 ›› Issue (7): 70304-070304.doi: 10.1088/1674-1056/28/7/070304

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

Robustness self-testing of states and measurements in the prepare-and-measure scenario with 3→1 random access code

Shi-Hui Wei(魏士慧), Fen-Zhuo Guo(郭奋卓), Xin-Hui Li(李新慧), Qiao-Yan Wen(温巧燕)   

  1. 1 State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China;
    2 School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • 收稿日期:2018-12-23 修回日期:2019-05-13 出版日期:2019-07-05 发布日期:2019-07-05
  • 通讯作者: Fen-Zhuo Guo E-mail:gfenzhuo@bupt.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 61572081, 61672110, and 61671082).

Robustness self-testing of states and measurements in the prepare-and-measure scenario with 3→1 random access code

Shi-Hui Wei(魏士慧)1,2, Fen-Zhuo Guo(郭奋卓)1,2, Xin-Hui Li(李新慧)1, Qiao-Yan Wen(温巧燕)1   

  1. 1 State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China;
    2 School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • Received:2018-12-23 Revised:2019-05-13 Online:2019-07-05 Published:2019-07-05
  • Contact: Fen-Zhuo Guo E-mail:gfenzhuo@bupt.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 61572081, 61672110, and 61671082).

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摘要：

Recently, Tavakoli et al. proposed a self-testing scheme in the prepare-and-measure scenario, showing that self-testing is not necessarily based on entanglement and violation of a Bell inequality[Phys. Rev. A 98 062307 (2018)]. They realized the self-testing of preparations and measurements in an N→1 (N ≥ 2) random access code (RAC), and provided robustness bounds in a 2→1 RAC. Since all N→1 RACs with shared randomness are combinations of 2→1 and 3→1 RACs, the 3→1 RAC is just as important as the 2→1 RAC. In this paper, we find a set of preparations and measurements in the 3→1 RAC, and use them to complete the robustness self-testing analysis in the prepare-and-measure scenario. The method is robust to small but inevitable experimental errors.

关键词: robustness self-testing, prepare-and-measure scenario, 3→1 random access code

Abstract:

Recently, Tavakoli et al. proposed a self-testing scheme in the prepare-and-measure scenario, showing that self-testing is not necessarily based on entanglement and violation of a Bell inequality[Phys. Rev. A 98 062307 (2018)]. They realized the self-testing of preparations and measurements in an N→1 (N ≥ 2) random access code (RAC), and provided robustness bounds in a 2→1 RAC. Since all N→1 RACs with shared randomness are combinations of 2→1 and 3→1 RACs, the 3→1 RAC is just as important as the 2→1 RAC. In this paper, we find a set of preparations and measurements in the 3→1 RAC, and use them to complete the robustness self-testing analysis in the prepare-and-measure scenario. The method is robust to small but inevitable experimental errors.

Key words: robustness self-testing, prepare-and-measure scenario, 3→1 random access code

中图分类号:  (Entanglement and quantum nonlocality)

  • 03.65.Ud
03.67.-a (Quantum information) 03.67.Dd (Quantum cryptography and communication security)