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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.11373 |
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| _version_ | 1866910905965477888 |
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| author | Llorens, Santiago González, Walther Sentís, Gael Calsamiglia, John Muñoz-Tapia, Ramon Bagan, Emili |
| author_facet | Llorens, Santiago González, Walther Sentís, Gael Calsamiglia, John Muñoz-Tapia, Ramon Bagan, Emili |
| contents | This paper introduces quantum edge detection, aimed at locating boundaries of quantum domains where all particles share the same pure state. Focusing on the 1D scenario of a string of particles, we develop an optimal protocol for quantum edge detection, efficiently computing its success probability through Schur-Weyl duality and semidefinite programming techniques. We analyze the behavior of the success probability as a function of the string length and local dimension, with emphasis in the limit of long strings. We present a protocol based on square root measurement, which proves asymptotically optimal. Additionally, we explore a mixed quantum change point detection scenario where the state of particles transitions from known to unknown, which may find practical applications in detecting malfunctions in quantum devices |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11373 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Edge Detection Llorens, Santiago González, Walther Sentís, Gael Calsamiglia, John Muñoz-Tapia, Ramon Bagan, Emili Quantum Physics This paper introduces quantum edge detection, aimed at locating boundaries of quantum domains where all particles share the same pure state. Focusing on the 1D scenario of a string of particles, we develop an optimal protocol for quantum edge detection, efficiently computing its success probability through Schur-Weyl duality and semidefinite programming techniques. We analyze the behavior of the success probability as a function of the string length and local dimension, with emphasis in the limit of long strings. We present a protocol based on square root measurement, which proves asymptotically optimal. Additionally, we explore a mixed quantum change point detection scenario where the state of particles transitions from known to unknown, which may find practical applications in detecting malfunctions in quantum devices |
| title | Quantum Edge Detection |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2405.11373 |