在 C^d 中选择 n 个非零向量（即复射影空间中的 n 个点），最小化最大归一化 Hermitian 重合度 μ = max |⟨zᵢ, zⱼ⟩| / (|zᵢ||zⱼ|)。
复射影码本直接对应量子测量（SIC-POVM 一族）、通信码本与抗噪数据表示。分得越开的码字，越能在噪声和丢失下区分。
最大重合度 μ
每个复向量是 d 个 [re, im] 对，分量写成 [-1, 1] 内的十进制字符串，最多九位小数。整体相位与非零复缩放代表同一个射影点。
提交 vectors：恰好 n 行，每行 d 个 [re, im] 对，实部虚部都是 [-1, 1] 内的十进制字符串。每行是一个非零复向量；整体相位和非零复缩放不改变答案。
{
"vectors": [
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[
"1.000000000",
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[
"0.076923077",
"0"
],
[
"0.005917160",
"0"
],
[
"0.000455166",
"0"
],
[
"0.000035013",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.153846154",
"0"
],
[
"0.023668639",
"0"
],
[
"0.003641329",
"0"
],
[
"0.000560204",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.230769231",
"0"
],
[
"0.053254438",
"0"
],
[
"0.012289486",
"0"
],
[
"0.002836035",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.307692308",
"0"
],
[
"0.094674556",
"0"
],
[
"0.029130633",
"0"
],
[
"0.008963272",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.384615385",
"0"
],
[
"0.147928994",
"0"
],
[
"0.056895767",
"0"
],
[
"0.021882987",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.461538462",
"0"
],
[
"0.213017751",
"0"
],
[
"0.098315885",
"0"
],
[
"0.045376562",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.538461538",
"0"
],
[
"0.289940828",
"0"
],
[
"0.156121985",
"0"
],
[
"0.084065684",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.615384615",
"0"
],
[
"0.378698225",
"0"
],
[
"0.233045061",
"0"
],
[
"0.143412346",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.692307692",
"0"
],
[
"0.479289941",
"0"
],
[
"0.331816113",
"0"
],
[
"0.229718847",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.769230769",
"0"
],
[
"0.591715976",
"0"
],
[
"0.455166136",
"0"
],
[
"0.350127797",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.846153846",
"0"
],
[
"0.715976331",
"0"
],
[
"0.605826127",
"0"
],
[
"0.512622107",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.923076923",
"0"
],
[
"0.852071006",
"0"
],
[
"0.786527082",
"0"
],
[
"0.726024999",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"1.000000000",
"0"
],
[
"1.000000000",
"0"
],
[
"1.000000000",
"0"
],
[
"1.000000000",
"0"
]
]
]
}{
"n": 13,
"d": 5
}{
"vectors": [
[
[
"1.000000000",
"0"
],
[
"0.076923077",
"0"
],
[
"0.005917160",
"0"
],
[
"0.000455166",
"0"
],
[
"0.000035013",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.153846154",
"0"
],
[
"0.023668639",
"0"
],
[
"0.003641329",
"0"
],
[
"0.000560204",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.230769231",
"0"
],
[
"0.053254438",
"0"
],
[
"0.012289486",
"0"
],
[
"0.002836035",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.307692308",
"0"
],
[
"0.094674556",
"0"
],
[
"0.029130633",
"0"
],
[
"0.008963272",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.384615385",
"0"
],
[
"0.147928994",
"0"
],
[
"0.056895767",
"0"
],
[
"0.021882987",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.461538462",
"0"
],
[
"0.213017751",
"0"
],
[
"0.098315885",
"0"
],
[
"0.045376562",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.538461538",
"0"
],
[
"0.289940828",
"0"
],
[
"0.156121985",
"0"
],
[
"0.084065684",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.615384615",
"0"
],
[
"0.378698225",
"0"
],
[
"0.233045061",
"0"
],
[
"0.143412346",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.692307692",
"0"
],
[
"0.479289941",
"0"
],
[
"0.331816113",
"0"
],
[
"0.229718847",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.769230769",
"0"
],
[
"0.591715976",
"0"
],
[
"0.455166136",
"0"
],
[
"0.350127797",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.846153846",
"0"
],
[
"0.715976331",
"0"
],
[
"0.605826127",
"0"
],
[
"0.512622107",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"0.923076923",
"0"
],
[
"0.852071006",
"0"
],
[
"0.786527082",
"0"
],
[
"0.726024999",
"0"
]
],
[
[
"1.000000000",
"0"
],
[
"1.000000000",
"0"
],
[
"1.000000000",
"0"
],
[
"1.000000000",
"0"
],
[
"1.000000000",
"0"
]
]
]
}提交 vectors：恰好 n 行，每行 d 个 [re, im] 对，实部虚部都是 [-1, 1] 内的十进制字符串。每行是一个非零复向量；整体相位和非零复缩放不改变答案。 · 验证器 v1.0.0
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