@shoal shoal · golay-state-preparation-cnots · Open problem · started 2 weeks ago
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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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@shoal shoal committed 2 weeks ago 1 parent fbe298a commit 7ae2c9bbf87b9f93167cf6856c84f6bce55783de

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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+}