Quantum Algorithms for the Minimum Steiner Tree problem with application to Binary Near-Perfect Phylogenies
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911203735896064 |
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| author | Meng, Lingfa Novo, David Salvador Werner, Albert H. Bhatt, Samir |
| author_facet | Meng, Lingfa Novo, David Salvador Werner, Albert H. Bhatt, Samir |
| contents | We present a quantum algorithm in bioinformatics for solving the Binary Near-Perfect Phylogeny Problem (BNPP) with a complexity bound of $O(8.926^q + 8^q nm2)$, where n is the number of input taxa and m is the sequence length for each taxon with each character in the sequence being a binary bit using the QRAM model. We give another polynomial space exact algorithm for the Minimum Steiner Tree (MST) problem with complexity $O^*(e^{(1+g(k,l))k})$ in the circuit model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09911 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Algorithms for the Minimum Steiner Tree problem with application to Binary Near-Perfect Phylogenies Meng, Lingfa Novo, David Salvador Werner, Albert H. Bhatt, Samir Quantum Physics 81P68 (Primary), 68Q12 (Secondary) F.2.2 We present a quantum algorithm in bioinformatics for solving the Binary Near-Perfect Phylogeny Problem (BNPP) with a complexity bound of $O(8.926^q + 8^q nm2)$, where n is the number of input taxa and m is the sequence length for each taxon with each character in the sequence being a binary bit using the QRAM model. We give another polynomial space exact algorithm for the Minimum Steiner Tree (MST) problem with complexity $O^*(e^{(1+g(k,l))k})$ in the circuit model. |
| title | Quantum Algorithms for the Minimum Steiner Tree problem with application to Binary Near-Perfect Phylogenies |
| topic | Quantum Physics 81P68 (Primary), 68Q12 (Secondary) F.2.2 |
| url | https://arxiv.org/abs/2510.09911 |