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| Auteurs principaux: | , , , , , , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2603.01802 |
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| _version_ | 1866912937202941952 |
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| author | Xu, Xu Cheng, Han-Yu Ma, Meng-Yun Sun, Chao-Jie Wang, Yan Shen, Li-Jiong Sun, Zhe Su, Qi-Ping Yang, Chui-Ping Sun, Yong-Nan |
| author_facet | Xu, Xu Cheng, Han-Yu Ma, Meng-Yun Sun, Chao-Jie Wang, Yan Shen, Li-Jiong Sun, Zhe Su, Qi-Ping Yang, Chui-Ping Sun, Yong-Nan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01802 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Experimental realization and self-testing of semisymmetric informationally complete measurements via a one-dimensional photonic quantum walk Xu, Xu Cheng, Han-Yu Ma, Meng-Yun Sun, Chao-Jie Wang, Yan Shen, Li-Jiong Sun, Zhe Su, Qi-Ping Yang, Chui-Ping Sun, Yong-Nan Quantum Physics 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. |
| title | Experimental realization and self-testing of semisymmetric informationally complete measurements via a one-dimensional photonic quantum walk |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.01802 |