Deflating quantum error-correcting codes
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918254289616896 |
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| author | Gundersen, Jaron Skovsted Christensen, Rene Bødker Popovski, Petar Wisniewski, Rafał |
| author_facet | Gundersen, Jaron Skovsted Christensen, Rene Bødker Popovski, Petar Wisniewski, Rafał |
| contents | In this work, we introduce a technique for reducing the length of a quantum stabilizer code, and we call this deflation of the code. Deflation can be seen as a generalization of the well-known puncturing and shortening techniques in cases where more than a single qudit is removed. We show that the parameters of the deflated quantum code can be controlled, and argue that a similar approach is not as beneficial when applied to classical linear codes. Furthermore, it is shown that deflation introduces additional freedom compared to applying just puncturing and shortening consecutively. We exemplify that it is possible to obtain better parameters by deflating a code rather than consecutively using puncturing and shortening. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15887 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deflating quantum error-correcting codes Gundersen, Jaron Skovsted Christensen, Rene Bødker Popovski, Petar Wisniewski, Rafał Quantum Physics Information Theory In this work, we introduce a technique for reducing the length of a quantum stabilizer code, and we call this deflation of the code. Deflation can be seen as a generalization of the well-known puncturing and shortening techniques in cases where more than a single qudit is removed. We show that the parameters of the deflated quantum code can be controlled, and argue that a similar approach is not as beneficial when applied to classical linear codes. Furthermore, it is shown that deflation introduces additional freedom compared to applying just puncturing and shortening consecutively. We exemplify that it is possible to obtain better parameters by deflating a code rather than consecutively using puncturing and shortening. |
| title | Deflating quantum error-correcting codes |
| topic | Quantum Physics Information Theory |
| url | https://arxiv.org/abs/2512.15887 |