Simulating partially entangled qubits with one bit of communication

Decide whether shared randomness and one bit of communication reproduce all projective measurements on every partially entangled qubit pair.

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1	{
2	"domain": "physics-astronomy",
3	"topics": [
4	"quantum-information"
5	],
6	"type": "construction",
7	"also": [
8	"proof"
9	],
10	"source": {
11	"key": "qiqcop",
12	"name": "QIQCOP Zoo",
13	"url": "https://qiqc-op.com/problem/op_64db785888803dd3/",
14	"id": "op_64db785888803dd3",
15	"curator": "Bikun Li, Qicheng Tang, Changhao Li, Chengkai Zhu, Minbo Gao, Zhong-Xia Shang, Bin Cheng and Naixu Guo",
16	"poser": "Nicolas Gisin (2007)",
17	"status": "unsolved",
18	"as_of": "2026-10-20",
19	"catalog": "0521c19bbd38"
20	},
21	"review": true,
22	"approval": "first-time"
23	}