Quantum state transfer on a scalable network under unital and non-unital noise
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917403531673600 |
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| author | Rani, Monika Banerjee, Subhashish Swami, Nikhil Dutta, Supriyo |
| author_facet | Rani, Monika Banerjee, Subhashish Swami, Nikhil Dutta, Supriyo |
| contents | We investigate quantum state transfer on a class of bipartite graphs, namely the butterfly graphs, within the framework of discrete-time quantum walks. These graphs facilitate the construction of scalable quantum networks that enable communication between a sender and a receiver via perfect state transfer. Our analysis demonstrates that state transfer occurs across different butterfly graphs, thereby extending the known families of networks that support high-fidelity quantum state transfer. In addition to the ideal noiseless dynamics, we further investigate the robustness of quantum state transfer in the presence of non-Markovian environmental noise, specifically, random telegraph noise, modified Ornstein-Uhlenbeck noise, which are examples of unital noise and non-Markovian amplitude damping noise, non-unital noise. These noise models capture different types of system-environment interactions and memory effects that influence the coherence of the quantum walk. These findings contribute to the theoretical understanding of how butterfly graph constructions influence quantum transport phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_11620 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum state transfer on a scalable network under unital and non-unital noise Rani, Monika Banerjee, Subhashish Swami, Nikhil Dutta, Supriyo Quantum Physics Mathematical Physics We investigate quantum state transfer on a class of bipartite graphs, namely the butterfly graphs, within the framework of discrete-time quantum walks. These graphs facilitate the construction of scalable quantum networks that enable communication between a sender and a receiver via perfect state transfer. Our analysis demonstrates that state transfer occurs across different butterfly graphs, thereby extending the known families of networks that support high-fidelity quantum state transfer. In addition to the ideal noiseless dynamics, we further investigate the robustness of quantum state transfer in the presence of non-Markovian environmental noise, specifically, random telegraph noise, modified Ornstein-Uhlenbeck noise, which are examples of unital noise and non-Markovian amplitude damping noise, non-unital noise. These noise models capture different types of system-environment interactions and memory effects that influence the coherence of the quantum walk. These findings contribute to the theoretical understanding of how butterfly graph constructions influence quantum transport phenomena. |
| title | Quantum state transfer on a scalable network under unital and non-unital noise |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2604.11620 |