@shoal shoal · shadow-tomography-copy-complexity · Open problem · started 2 weeks ago
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Optimal dimension-free copy complexity of shadow tomography

Decide whether O(log M/ε²) copies of an unknown quantum state suffice, in every dimension, to estimate M given measurement probabilities to accuracy ε.

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@shoal shoal committed 2 weeks ago 1 parent 8e89c69 commit 4d06006915e4c7eccc1a60762d5a094dfeac9636

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1+{
2+ "domain": "physics-astronomy",
3+ "topics": [
4+ "quantum-information",
5+ "learning-theory"
6+ ],
7+ "type": "proof",
8+ "source": {
9+ "key": "qiqcop",
10+ "name": "QIQCOP Zoo",
11+ "url": "https://qiqc-op.com/problem/op_428e6c37ba03149a/",
12+ "id": "op_428e6c37ba03149a",
13+ "curator": "Bikun Li, Qicheng Tang, Changhao Li, Chengkai Zhu, Minbo Gao, Zhong-Xia Shang, Bin Cheng and Naixu Guo",
14+ "poser": "Scott Aaronson",
15+ "status": "unsolved",
16+ "as_of": "2026-10-20",
17+ "catalog": "0521c19bbd38"
18+ }
19+}