Synthetic dataset D

doi:doi:10.57702/92dbd79m

Synthetic dataset D

The synthetic dataset D used in the main text is constructed by generating a set of data points {x(i)} with x(i) ∈ R3. The optimal circuit is Ux = RY(x1) ⊗ RY(x2) ⊗ RY(x3). The strategy to label x(i) is as follows. Let Π = I4 ⊗ |0(cid:105) (cid:104)0| be the measurement operator. The data point x(i) is labeled as y(i) = 1 if (cid:104)000|U †x(i)U ∗(θ∗)†ΠU ∗(θ∗)Ux(i) |000(cid:105) ≥ 0.75. The label of x(i) is assigned as y(i) = 0 if (cid:104)000|U †x(i)U ∗(θ∗)†ΠU ∗(θ∗)Ux(i) |000(cid:105) ≤ 0.25.

BibTex:

@dataset{Yuxuan_Du_and_Tao_Huang_and_Shan_You_and_Min-Hsiu_Hsieh_and_Dacheng_Tao_2025,
    abstract = {The synthetic dataset D used in the main text is constructed by generating a set of data points {x(i)} with x(i) ∈ R3. The optimal circuit is Ux = RY(x1) ⊗ RY(x2) ⊗ RY(x3). The strategy to label x(i) is as follows. Let Π = I4 ⊗ |0(cid:105) (cid:104)0| be the measurement operator. The data point x(i) is labeled as y(i) = 1 if (cid:104)000|U †x(i)U ∗(θ∗)†ΠU ∗(θ∗)Ux(i) |000(cid:105) ≥ 0.75. The label of x(i) is assigned as y(i) = 0 if (cid:104)000|U †x(i)U ∗(θ∗)†ΠU ∗(θ∗)Ux(i) |000(cid:105) ≤ 0.25.},
    author = {Yuxuan Du and Tao Huang and Shan You and Min-Hsiu Hsieh and Dacheng Tao},
    doi = {10.57702/92dbd79m},
    institution = {No Organization},
    keyword = {'Machine learning', 'Quantum computing', 'Synthetic dataset'},
    month = {jan},
    publisher = {TIB},
    title = {Synthetic dataset D},
    url = {https://service.tib.eu/ldmservice/dataset/synthetic-dataset-d},
    year = {2025}
}