Smallest output dimension for a minimum-output-entropy violation

Find the smallest output dimension in which two quantum channels violate additivity of minimum output entropy; it lies between 2 and 182.

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1	{
2	"domain": "physics-astronomy",
3	"topics": [
4	"quantum-information",
5	"mathematical-physics"
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_e724615844c52297/",
15	"id": "op_e724615844c52297",
16	"curator": "Bikun Li, Qicheng Tang, Changhao Li, Chengkai Zhu, Minbo Gao, Zhong-Xia Shang, Bin Cheng and Naixu Guo",
17	"poser": "QIQCOP Zoo contributors, after Belinschi, Collins and Nechita (2016)",
18	"status": "unsolved",
19	"as_of": "2026-10-20",
20	"catalog": "0521c19bbd38"
21	}
22	}