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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.00861 |
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| _version_ | 1866912934481887232 |
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| author | Kjos-Hanssen, Bjørn Lakshmanan, Swarnalakshmi |
| author_facet | Kjos-Hanssen, Bjørn Lakshmanan, Swarnalakshmi |
| contents | Grudka, Karczewski, Kurzynski, Stempin, Wójcik and Wojcik (2025) constructed quantum channels with synchronizing words of length 3 for qutrits. We extend their result to arbitrarily long minimal synchronizing words, providing a contrast to Černý's conjecture for finite automata. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_00861 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Unbounded length minimal synchronizing words for quantum channels over qutrits Kjos-Hanssen, Bjørn Lakshmanan, Swarnalakshmi Discrete Mathematics Formal Languages and Automata Theory Mathematical Physics Grudka, Karczewski, Kurzynski, Stempin, Wójcik and Wojcik (2025) constructed quantum channels with synchronizing words of length 3 for qutrits. We extend their result to arbitrarily long minimal synchronizing words, providing a contrast to Černý's conjecture for finite automata. |
| title | Unbounded length minimal synchronizing words for quantum channels over qutrits |
| topic | Discrete Mathematics Formal Languages and Automata Theory Mathematical Physics |
| url | https://arxiv.org/abs/2603.00861 |