存在部门约束的因果结构及其在量子开关中的应用

由柏拉图重新发布

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尼克奥姆罗德¹, 奥古斯丁范里特维尔德^1,2,3和乔纳森·巴雷特¹

¹牛津大学计算机科学系Quantum Group
²伦敦帝国理工学院物理系
³香港大学-牛津大学量子信息与计算联合实验室

抽象

现有的关于量子因果结构的工作假设人们可以对感兴趣的系统执行任意操作。但这个条件往往得不到满足。在这里，我们将量子因果建模的框架扩展到系统可能受到 $textit{sectorial constraints}$ 的情况，即对其 Hilbert 空间的正交子空间可能相互映射的限制。我们的框架 (a) 证明了一些关于因果关系的不同直觉结果是等价的； (b) 表明存在扇区约束的量子因果结构可以用有向图表示； (c) 定义因果结构的细粒度，其中系统的各个部分具有因果关系。例如，我们将我们的框架应用于量子开关的光子实现，以表明虽然它们的粗粒度因果结构是循环的，但它们的细粒度因果结构是非循环的。因此，我们得出结论，这些实验仅在弱意义上实现了不确定的因果顺序。值得注意的是，这是第一个不基于因果关系必须局限在时空中的假设的论据。

►BibTeX数据

@article{Ormrod2023causalstructurein, doi = {10.22331/q-2023-06-01-1028}, url = {https://doi.org/10.22331/q-2023-06-01-1028}, title = {Causal structure in the presence of sectorial constraints, with application to the quantum switch}, author = {Ormrod, Nick and Vanrietvelde, Augustin and Barrett, Jonathan}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {7}, pages = {1028}, month = jun, year = {2023}
}

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被引用

[1] Nikola Paunković and Marko Vojinović, "Equivalence Principle in Classical and Quantum Gravity", 宇宙8 11，598（2022）.

[2] Julian Wechs, Cyril Branciard, and Ognyan Oreshkov, "Existence of processes violating causal inequalities on time-delocalised subsystems", 自然通讯14，1471（2023）.

[3] Huan Cao, Jessica Bavaresco, Ning-Ning Wang, Lee A. Rozema, Chao Zhang, Yun-Feng Huang, Bi-Heng Liu, Chuan-Feng Li, Guang-Can Guo, and Philip Walther, "Semi-device-independent certification of indefinite causal order in a photonic quantum switch", 眼镜10 5，561（2023）.

[4] Augustin Vanrietvelde, Nick Ormrod, Hlér Kristjánsson, and Jonathan Barrett, "Consistent circuits for indefinite causal order", 的arXiv：2206.10042, (2022).

[5] Pedro R. Dieguez, Vinicius F. Lisboa, and Roberto M. Serra, "Thermal devices powered by generalized measurements with indefinite causal order", 物理评论A 107 1，012423（2023）.

[6] Matt Wilson, Giulio Chiribella, and Aleks Kissinger, "Quantum Supermaps are Characterized by Locality", 的arXiv：2205.09844, (2022).

[7] Marco Fellous-Asiani, Raphaël Mothe, Léa Bresque, Hippolyte Dourdent, Patrice A. Camati, Alastair A. Abbott, Alexia Auffèves, and Cyril Branciard, "Comparing the quantum switch and its simulations with energetically constrained operations", 物理评论研究5 2，023111（2023）.

[8] Nick Ormrod, V. Vilasini, and Jonathan Barrett, "Which theories have a measurement problem?", 的arXiv：2303.03353, (2023).

[9] Tein van der Lugt, Jonathan Barrett, and Giulio Chiribella, "Device-independent certification of indefinite causal order in the quantum switch", 的arXiv：2208.00719, (2022).

[10] Robin Lorenz 和 Sean Tull，“弦图中的因果模型”，的arXiv：2304.07638, (2023).

[11] Michael Antesberger、Marco Túlio Quintino、Philip Walther 和 Lee A. Rozema，“被动稳定量子开关的高阶过程矩阵断层扫描”，的arXiv：2305.19386, (2023).

[12] Martin Sandfuchs、Marcus Haberland、V. Vilasini 和 Ramona Wolf，“基于相对论原理的微分相移 QKD 的安全性”，的arXiv：2301.11340, (2023).

[13] Ricardo Faleiro, Nikola Paunkovic, and Marko Vojinovic, "Operational interpretation of the vacuum and process matrices for identical particles", 的arXiv：2010.16042, (2020).

[14] Eleftherios-Ermis Tselentis and Ämin Baumeler, "Admissible Causal Structures and Correlations", 的arXiv：2210.12796, (2022).

[15] Ricardo Faleiro, Nikola Paunkovic, and Marko Vojinovic, "Operational interpretation of the vacuum and process matrices for identical particles", 量子7，986（2023）.

以上引用来自 SAO / NASA广告（最近成功更新为2023-06-03 12:58:29）。该列表可能不完整，因为并非所有发布者都提供合适且完整的引用数据。

On Crossref 的引用服务找不到有关引用作品的数据（上一次尝试2023-06-03 12:58:28）。

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