A Quantum Tanimoto Coefficient Fidelity for Entanglement Measurement
文献类型：期刊论文
| 作者 | Yangyang Zhao ; Fuyuan Xiao; Masayoshi Aritsugi; Weiping Ding
|
| 刊名 | IEEE/CAA Journal of Automatica Sinica
 |
| 出版日期 | 2023 |
| 卷号 | 10期号:2页码:439-450 |
| ISSN号 | 2329-9266 |
| 关键词 | Distance measure entanglement measurement fidelity measure quantum Tanimoto coefficient (QTC) similarity measure uncertainty |
| DOI | 10.1109/JAS.2022.106079 |
| 英文摘要 | Fidelity plays an important role in quantum information processing, which provides a basic scale for comparing two quantum states. At present, one of the most commonly used fidelities is Uhlmann-Jozsa (U-J) fidelity. However, U-J fidelity needs to calculate the square root of the matrix, which is not trivial in the case of large or infinite density matrices. Moreover, U-J fidelity is a measure of overlap, which has limitations in some cases and cannot reflect the similarity between quantum states well. Therefore, a novel quantum fidelity measure called quantum Tanimoto coefficient (QTC) fidelity is proposed in this paper. Unlike other existing fidelities, QTC fidelity not only considers the overlap between quantum states, but also takes into account the separation between quantum states for the first time, which leads to a better performance of measure. Specifically, we discuss the properties of the proposed QTC fidelity. QTC fidelity is compared with some existing fidelities through specific examples, which reflects the effectiveness and advantages of QTC fidelity. In addition, based on the QTC fidelity, three discrimination coefficients ${\bm{d_1^{{\bf{QTC}}} }}$, ${\bm{d_2^{{\bf{QTC}}}}}$, and ${\bm{d_3^{{\bf{QTC}}}}}$ are defined to measure the difference between quantum states. It is proved that the discrimination coefficient ${\bm{d_3^{{\bf{QTC}}} }}$ is a true metric. Finally, we apply the proposed QTC fidelity-based discrimination coefficients to measure the entanglement of quantum states to show their practicability. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/50857]  |
| 专题 | 自动化研究所_学术期刊_IEEE/CAA Journal of Automatica Sinica |
| 推荐引用方式 GB/T 7714 | Yangyang Zhao,Fuyuan Xiao,Masayoshi Aritsugi,et al. A Quantum Tanimoto Coefficient Fidelity for Entanglement Measurement[J]. IEEE/CAA Journal of Automatica Sinica,2023,10(2):439-450. |
| APA | Yangyang Zhao,Fuyuan Xiao,Masayoshi Aritsugi,&Weiping Ding.(2023).A Quantum Tanimoto Coefficient Fidelity for Entanglement Measurement.IEEE/CAA Journal of Automatica Sinica,10(2),439-450. |
| MLA | Yangyang Zhao,et al."A Quantum Tanimoto Coefficient Fidelity for Entanglement Measurement".IEEE/CAA Journal of Automatica Sinica 10.2(2023):439-450. |
入库方式： OAI收割
来源：自动化研究所
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