Robustness self-testing of states and measurements in the prepare-and-measure scenario with random access code**Project supported by the National Natural Science Foundation of China (Grant Nos. 61572081, 61672110, and 61671082).

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 () random access code (RAC), and provided robustness bounds in a RAC. Since all RACs with shared randomness are combinations of and RACs, the RAC is just as important as the RAC. In this paper, we find a set of preparations and measurements in the 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.