Fewest CNOT gates to prepare the Golay code's logical zero
Prepare the 23-qubit Golay code's logical zero with fewer than 44 CNOT gates, or prove 44 optimal; at depth 7 the record is 45.
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| 1 | +{ | |
| 2 | + "domain": "physics-astronomy", | |
| 3 | + "topics": [ | |
| 4 | + "quantum-information", | |
| 5 | + "coding-theory" | |
| 6 | + ], | |
| 7 | + "type": "construction", | |
| 8 | + "also": [ | |
| 9 | + "proof" | |
| 10 | + ], | |
| 11 | + "source": { | |
| 12 | + "key": "qiqcop", | |
| 13 | + "name": "QIQCOP Zoo", | |
| 14 | + "url": "https://qiqc-op.com/problem/op_c847b635f53b0812/", | |
| 15 | + "id": "op_c847b635f53b0812", | |
| 16 | + "curator": "Bikun Li, Qicheng Tang, Changhao Li, Chengkai Zhu, Minbo Gao, Zhong-Xia Shang, Bin Cheng and Naixu Guo", | |
| 17 | + "poser": "Adam Paetznick and Ben W. Reichardt", | |
| 18 | + "status": "unsolved", | |
| 19 | + "as_of": "2026-10-20", | |
| 20 | + "catalog": "0521c19bbd38" | |
| 21 | + } | |
| 22 | +} | |