Cutting stabiliser decompositions of magic state cultivation with ZX-calculus
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911164862038016 |
|---|---|
| author | Wan, Kwok Ho Zhong, Zhenghao |
| author_facet | Wan, Kwok Ho Zhong, Zhenghao |
| contents | We apply the cutting stabiliser decomposition techniques [arXiv:2403.10964] to the quantum states generated from magic state cultivation [arXiv:2409.17595], post-selected upon all $+1$ measured values for simplicity. The resultant states to the $d=3$ and $d=5$ variant magic state cultivation circuits can be expressed as a sum of $4$ and $8$ Clifford ZX-digrams respectively. Modifications to existing ZX-calculus stabiliser decomposition methods may enable better simulation of non-Clifford circuits containing a moderate number of $T$ gates in the context of quantum error correction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01224 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cutting stabiliser decompositions of magic state cultivation with ZX-calculus Wan, Kwok Ho Zhong, Zhenghao Quantum Physics We apply the cutting stabiliser decomposition techniques [arXiv:2403.10964] to the quantum states generated from magic state cultivation [arXiv:2409.17595], post-selected upon all $+1$ measured values for simplicity. The resultant states to the $d=3$ and $d=5$ variant magic state cultivation circuits can be expressed as a sum of $4$ and $8$ Clifford ZX-digrams respectively. Modifications to existing ZX-calculus stabiliser decomposition methods may enable better simulation of non-Clifford circuits containing a moderate number of $T$ gates in the context of quantum error correction. |
| title | Cutting stabiliser decompositions of magic state cultivation with ZX-calculus |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2509.01224 |