Quantum Pattern Matching in Generalised Degenerate Strings
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914401969242112 |
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| author | Equi, Massimo Khan, Md Rabiul Islam Mäkinen, Veli |
| author_facet | Equi, Massimo Khan, Md Rabiul Islam Mäkinen, Veli |
| contents | A degenerate string is a sequence of sets of characters. A generalized degenerate (GD) string extends this notion to the sequence of sets of strings, where strings of the same set are of equal length. Finding an exact match for a pattern string inside a GD string can be done in $O(mn+N)$ time (Ascone et al., WABI 2024), where $m$ is the pattern length, $n$ is the number of strings and $N$ the total length of strings constituting the GD string. We modify this algorithm to work under a quantum model of computation, achieving running time $\tilde{O}(\sqrt{mnN})$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_16297 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum Pattern Matching in Generalised Degenerate Strings Equi, Massimo Khan, Md Rabiul Islam Mäkinen, Veli Quantum Physics Data Structures and Algorithms A degenerate string is a sequence of sets of characters. A generalized degenerate (GD) string extends this notion to the sequence of sets of strings, where strings of the same set are of equal length. Finding an exact match for a pattern string inside a GD string can be done in $O(mn+N)$ time (Ascone et al., WABI 2024), where $m$ is the pattern length, $n$ is the number of strings and $N$ the total length of strings constituting the GD string. We modify this algorithm to work under a quantum model of computation, achieving running time $\tilde{O}(\sqrt{mnN})$. |
| title | Quantum Pattern Matching in Generalised Degenerate Strings |
| topic | Quantum Physics Data Structures and Algorithms |
| url | https://arxiv.org/abs/2603.16297 |