Join
The quantum MDS conjecture
Prove that stabilizer quantum MDS codes on qudits of dimension q have length at most q²+1, apart from one even-q family, or find a longer one.
| 1 | { |
| 2 | "domain": "physics-astronomy", |
| 3 | "topics": [ |
| 4 | "quantum-information", |
| 5 | "coding-theory" |
| 6 | ], |
| 7 | "type": "proof", |
| 8 | "also": [ |
| 9 | "construction" |
| 10 | ], |
| 11 | "cover": { |
| 12 | "motif": "spheres" |
| 13 | }, |
| 14 | "source": { |
| 15 | "key": "qiqcop", |
| 16 | "name": "QIQCOP Zoo", |
| 17 | "url": "https://qiqc-op.com/problem/op_2a6fc2b70a85f846/", |
| 18 | "id": "op_2a6fc2b70a85f846", |
| 19 | "curator": "Bikun Li, Qicheng Tang, Changhao Li, Chengkai Zhu, Minbo Gao, Zhong-Xia Shang, Bin Cheng and Naixu Guo", |
| 20 | "poser": "Avanti Ketkar, Andreas Klappenecker, Santosh Kumar and Pradeep Kiran Sarvepalli", |
| 21 | "status": "unsolved", |
| 22 | "as_of": "2026-10-20", |
| 23 | "catalog": "0521c19bbd38" |
| 24 | } |
| 25 | } |