Insertion Correcting Capability for Quantum Deletion-Correcting Codes
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918495269158912 |
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| author | Nakamura, Ken Nozaki, Takayuki |
| author_facet | Nakamura, Ken Nozaki, Takayuki |
| contents | This paper proves that any quantum t-deletion-correcting codes also correct a total of t insertion and deletion errors under a certain condition. Here, this condition is that a set of quantum states is defined as a quantum error-correcting code if the error spheres of its states are disjoint, as classical coding theory. In addition, this paper proposes the quantum indel distance and describes insertion and deletion errors correcting capability of quantum codes by this distance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_20635 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Insertion Correcting Capability for Quantum Deletion-Correcting Codes Nakamura, Ken Nozaki, Takayuki Information Theory This paper proves that any quantum t-deletion-correcting codes also correct a total of t insertion and deletion errors under a certain condition. Here, this condition is that a set of quantum states is defined as a quantum error-correcting code if the error spheres of its states are disjoint, as classical coding theory. In addition, this paper proposes the quantum indel distance and describes insertion and deletion errors correcting capability of quantum codes by this distance. |
| title | Insertion Correcting Capability for Quantum Deletion-Correcting Codes |
| topic | Information Theory |
| url | https://arxiv.org/abs/2602.20635 |