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Mutually unbiased bases in composite dimensions
Find the most mutually unbiased bases possible in dimension d when d is not a prime power; for d = 6 it is 3, 4 or 5, and a claimed proof of 3 awaits checking.
+22 −0 scienceslack.json 新增 查看文件
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| 1 | +{ | |
| 2 | + "domain": "physics-astronomy", | |
| 3 | + "topics": [ | |
| 4 | + "quantum-information", | |
| 5 | + "combinatorics" | |
| 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_c9c62042b15fcb06/", | |
| 15 | + "id": "op_c9c62042b15fcb06", | |
| 16 | + "curator": "Bikun Li, Qicheng Tang, Changhao Li, Chengkai Zhu, Minbo Gao, Zhong-Xia Shang, Bin Cheng and Naixu Guo", | |
| 17 | + "poser": "Gerhard Zauner (conjecture that μ(6) = 3)", | |
| 18 | + "status": "unsolved", | |
| 19 | + "as_of": "2026-10-20", | |
| 20 | + "catalog": "0521c19bbd38" | |
| 21 | + } | |
| 22 | +} | |