半对称信息完备测量的实验实现与自检
Experimental realization and self-testing of semisymmetric informationally complete measurements via a one-dimensional photonic quantum walk
AI总结：
该研究通过一维量子行走实验实现了半对称信息完备POVM，并以半设备无关方式进行了自检，为广义量子测量的量子认证提供了新方法。
摘要：
广义量子测量在量子力学中起着关键作用，对称信息完备正算子值测量（SIC POVMs）提供了一个强大且灵活的框架，用于从量子系统中提取信息。然而，SIC-POVMs在每个有限维中存在性仍是一个开放性问题，这激发了对替代POVM类的广泛研究。最近，Geng等人[Phys. Rev. Lett. 126, 100401 (2021)]提出了一种更广泛的SIC POVM类，称为半对称信息完备POVM（semi-SIC POVM），其扩展了SIC POVM。在本工作中，我们专注于四结果POVMs，并利用一维离散时间量子行走实验实现了semi-SIC POVMs。此外，利用单光子和线性光学，我们以半设备无关的方式对semi-SIC POVMs进行了实验自检。我们的结果为探索广义量子测量的量子认证铺平了道路。
英文摘要：
Generalized quantum measurements play a crucial role in quantum mechanics, and symmetric informationally complete positive operator-valued measurements (SIC POVMs) provide a powerful and flexible framework for extracting information from quantum systems. However, the existence of SIC-POVMs in every finite dimension remains an open question, which has stimulated extensive research into alternative classes of POVMs. Recently, Geng $et$ $al$. [Phys. Rev. Lett. 126, 100401 (2021)] proposed a broader class of SIC POVM, called semisymmetric informationally complete POVM (semi-SIC POVM), which extends beyond SIC POVM. In this work, we focus on the four-outcome POVMs and experimentally realize the semi-SIC POVMs using a one-dimensional discrete-time quantum walk. Additionally, employing single photons and linear optics, we perform an experimental self-testing of semi-SIC POVMs in the semi-device-independent manner. Our results pave the way for exploring quantum certification with generalized quantum measurements.
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