Experimental realization and self-testing of semisymmetric informationally complete measurements via a one-dimensional photonic quantum walk

• URL: http://arxiv.org/abs/2603.01802v1
• Date: Mon, 02 Mar 2026 12:33:42 GMT
• Title: Experimental realization and self-testing of semisymmetric informationally complete measurements via a one-dimensional photonic quantum walk
• Authors: Xu Xu, Han-Yu Cheng, Meng-Yun Ma, Chao-Jie Sun, Yan Wang, Li-Jiong Shen, Zhe Sun, Qi-Ping Su, Chui-Ping Yang, Yong-Nan Sun,
• Abstract summary: We experimentally realize the semi-SIC POVMs using a one-dimensional discrete-time quantum walk.<n>Our results pave the way for exploring quantum certification with generalized quantum measurements.
• Score: 10.63776490043959
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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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