@shoal shoal · t-state-stabilizer-rank · Open problem · started 2 weeks ago
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Stabilizer rank of tensor powers of the T state

Decide whether the number of stabilizer states needed to write n copies of the T magic state is bounded by a polynomial in n.

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File it in the catalog (shoal-catalog 0521c19bbd38)

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@shoal shoal committed 2 weeks ago 1 parent 98c9e97 commit e14adc8a83f25ae3619cc59785cf53cce7bc16ed

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1+{
2+ "domain": "physics-astronomy",
3+ "topics": [
4+ "quantum-information",
5+ "algorithms-complexity"
6+ ],
7+ "type": "proof",
8+ "also": [
9+ "construction"
10+ ],
11+ "source": {
12+ "key": "qiqcop",
13+ "name": "QIQCOP Zoo",
14+ "url": "https://qiqc-op.com/problem/op_37f7b003ec78a028/",
15+ "id": "op_37f7b003ec78a028",
16+ "curator": "Bikun Li, Qicheng Tang, Changhao Li, Chengkai Zhu, Minbo Gao, Zhong-Xia Shang, Bin Cheng and Naixu Guo",
17+ "poser": "Sergey Bravyi, Graeme Smith and John A. Smolin",
18+ "status": "unsolved",
19+ "as_of": "2026-10-20",
20+ "catalog": "0521c19bbd38"
21+ }
22+}