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| Format: | Preprint |
| Published: |
2026
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| Online Access: | https://arxiv.org/abs/2602.23970 |
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| _version_ | 1866911473754701824 |
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| author | Wang, Ce |
| author_facet | Wang, Ce |
| contents | Time-reversal symmetry is of fundamental importance to physics. In the classical theory of time-reversal symmetry, the time-reversal symmetry of a quantum system is described by an anti-unitary operator, which is known as the time-reversal operator of the system. In this paper, we introduce and study a model of continuous-time quantum walk on a special locally infinite graph. After examining its spectral property, we investigate the time-reversal symmetry of the model. To our surprise, we find that its time-reversal symmetry can be described directly by a unitary operator, which contrasts sharply with that in the classical theory of time-reversal symmetry. Some other related results are also proven. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23970 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Continuous-Time Quantum Walk on Locally Infinite Graph Wang, Ce Quantum Physics Functional Analysis Probability 81S25 Time-reversal symmetry is of fundamental importance to physics. In the classical theory of time-reversal symmetry, the time-reversal symmetry of a quantum system is described by an anti-unitary operator, which is known as the time-reversal operator of the system. In this paper, we introduce and study a model of continuous-time quantum walk on a special locally infinite graph. After examining its spectral property, we investigate the time-reversal symmetry of the model. To our surprise, we find that its time-reversal symmetry can be described directly by a unitary operator, which contrasts sharply with that in the classical theory of time-reversal symmetry. Some other related results are also proven. |
| title | Continuous-Time Quantum Walk on Locally Infinite Graph |
| topic | Quantum Physics Functional Analysis Probability 81S25 |
| url | https://arxiv.org/abs/2602.23970 |