Paper
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
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.
Metadata
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Raw Data (Debug)
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"raw_xml": "<entry>\n <id>http://arxiv.org/abs/2603.01802v1</id>\n <title>Experimental realization and self-testing of semisymmetric informationally complete measurements via a one-dimensional photonic quantum walk</title>\n <updated>2026-03-02T12:33:42Z</updated>\n <link href='https://arxiv.org/abs/2603.01802v1' rel='alternate' type='text/html'/>\n <link href='https://arxiv.org/pdf/2603.01802v1' rel='related' title='pdf' type='application/pdf'/>\n <summary>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.</summary>\n <category scheme='http://arxiv.org/schemas/atom' term='quant-ph'/>\n <published>2026-03-02T12:33:42Z</published>\n <arxiv:comment>7 pages, 4 figures</arxiv:comment>\n <arxiv:primary_category term='quant-ph'/>\n <author>\n <name>Xu Xu</name>\n </author>\n <author>\n <name>Han-Yu Cheng</name>\n </author>\n <author>\n <name>Meng-Yun Ma</name>\n </author>\n <author>\n <name>Chao-Jie Sun</name>\n </author>\n <author>\n <name>Yan Wang</name>\n </author>\n <author>\n <name>Li-Jiong Shen</name>\n </author>\n <author>\n <name>Zhe Sun</name>\n </author>\n <author>\n <name>Qi-Ping Su</name>\n </author>\n <author>\n <name>Chui-Ping Yang</name>\n </author>\n <author>\n <name>Yong-Nan Sun</name>\n </author>\n </entry>"
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