Coherence dynamics in Simon's quantum algorithm
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914483606126592 |
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| author | Ye, Linlin Wu, Zhaoqi Fei, Shao-Ming |
| author_facet | Ye, Linlin Wu, Zhaoqi Fei, Shao-Ming |
| contents | Quantum coherence plays a pivotal role in quantum algorithms. We study the coherence dynamics of the evolved states in Simon's quantum algorithm based on Tsallis relative $α$ entropy and $l_{1,p}$ norm. We prove that the coherences of the first register and the second register both rely on the dimension $N$ of the state spaces of the $n$ qubit systems, and increase with the increase of $N$. We show that the oracle operator $O$ does not change the coherence. Moreover, we study the coherence dynamics in the Simon's quantum algorithm and prove that in overall the coherence is in production when $N>4$ and in depletion when $N<4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_16190 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Coherence dynamics in Simon's quantum algorithm Ye, Linlin Wu, Zhaoqi Fei, Shao-Ming Quantum Physics Quantum coherence plays a pivotal role in quantum algorithms. We study the coherence dynamics of the evolved states in Simon's quantum algorithm based on Tsallis relative $α$ entropy and $l_{1,p}$ norm. We prove that the coherences of the first register and the second register both rely on the dimension $N$ of the state spaces of the $n$ qubit systems, and increase with the increase of $N$. We show that the oracle operator $O$ does not change the coherence. Moreover, we study the coherence dynamics in the Simon's quantum algorithm and prove that in overall the coherence is in production when $N>4$ and in depletion when $N<4$. |
| title | Coherence dynamics in Simon's quantum algorithm |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2604.16190 |