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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.21168 |
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| _version_ | 1866913913898008576 |
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| author | Heine, Tim Barkai, Eli Ziegler, Klaus Tornow, Sabine |
| author_facet | Heine, Tim Barkai, Eli Ziegler, Klaus Tornow, Sabine |
| contents | We study the first detected recurrence time problem of continuous-time quantum walks on graphs. While previous works have employed projective measurements to determine the first return time, we implement a protocol based on weak measurements on a dilated system, enabling minimally invasive monitoring throughout the evolution. To achieve this, we extend the theoretical framework and complement it with both numerical simulations and experimental investigations on an IBM quantum computer. Despite the implementation of a generalized measurement, our modified formalism of weak recurrence provides a description purely within the Hilbert space of the quantum system. Our results reveal that the first hitting time scales inversely with the coupling parameter between the ancilla and the quantum system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21168 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Walks: First Hitting Times with Weak Measurements Heine, Tim Barkai, Eli Ziegler, Klaus Tornow, Sabine Quantum Physics Statistical Mechanics We study the first detected recurrence time problem of continuous-time quantum walks on graphs. While previous works have employed projective measurements to determine the first return time, we implement a protocol based on weak measurements on a dilated system, enabling minimally invasive monitoring throughout the evolution. To achieve this, we extend the theoretical framework and complement it with both numerical simulations and experimental investigations on an IBM quantum computer. Despite the implementation of a generalized measurement, our modified formalism of weak recurrence provides a description purely within the Hilbert space of the quantum system. Our results reveal that the first hitting time scales inversely with the coupling parameter between the ancilla and the quantum system. |
| title | Quantum Walks: First Hitting Times with Weak Measurements |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2506.21168 |