Experimental demonstration of optimal measurement for unambiguously discriminating asymmetric qudit states
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866911500968394752 |
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| author | Hu, Kang-Min Namkung, Min Sohn, Myung-Hyun Lim, Hyang-Tag |
| author_facet | Hu, Kang-Min Namkung, Min Sohn, Myung-Hyun Lim, Hyang-Tag |
| contents | Identification of nonorthogonal quantum states without error is crucial for various applications in quantum information technology, as well as the foundations of quantum physics. Theoretical studies have proposed measurements that maximize the success probability of unambiguously discriminating quantum states. However, these methods are not always experimentally feasible, which has led most demonstrations to focus on equiprobable symmetric states. Here, we establish a projective measurement scheme that optimally discriminates multiple asymmetric qudit states. We experimentally demonstrate this optimal projective measurement using a photonic orbital angular momentum state, where asymmetric qudit states are encoded in the Laguerre-Gaussian modes of a heralded single-photon state. Our results have broad applications in high-dimensional quantum state-based quantum information processing, including quantum key distribution and quantum sensing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09026 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Experimental demonstration of optimal measurement for unambiguously discriminating asymmetric qudit states Hu, Kang-Min Namkung, Min Sohn, Myung-Hyun Lim, Hyang-Tag Quantum Physics Identification of nonorthogonal quantum states without error is crucial for various applications in quantum information technology, as well as the foundations of quantum physics. Theoretical studies have proposed measurements that maximize the success probability of unambiguously discriminating quantum states. However, these methods are not always experimentally feasible, which has led most demonstrations to focus on equiprobable symmetric states. Here, we establish a projective measurement scheme that optimally discriminates multiple asymmetric qudit states. We experimentally demonstrate this optimal projective measurement using a photonic orbital angular momentum state, where asymmetric qudit states are encoded in the Laguerre-Gaussian modes of a heralded single-photon state. Our results have broad applications in high-dimensional quantum state-based quantum information processing, including quantum key distribution and quantum sensing. |
| title | Experimental demonstration of optimal measurement for unambiguously discriminating asymmetric qudit states |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.09026 |