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	}