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研究生：	尹宥竣 Yin, Yu-Chun
論文名稱：	量子非局域關聯的傳遞性 Transitivity of Quantum Nonlocality
指導教授：	梁永成 Liang, Yeong-Cherng
共同指導:	傑洛 Gelo Noel M Tabia
學位類別：	碩士 Master
系所名稱：	理學院 - 物理學系 Department of Physics
論文出版年：	2021
畢業學年度：	109
語文別：	英文
論文頁數：	29
中文關鍵詞：	量子非局域性、超光速隱藏影響、非局域關聯傳遞性
外文關鍵詞：	quantum nonlocality, superluminal hidden influence, nonlocal transitivity
相關次數：	點閱：161 下載：7
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量子力學目前是現代物理學的核心部分。其中一個重要特徵為量子非局域性，它告訴我們量子力學不能用任何既涉及局域性又涉及實在性的物理模型來解釋。一種可能解釋量子非局域性的方法是使用超光速隱藏影響。這些非局域關聯性只能在其中一方的隱藏影響到達另一方後才能觀察到。反駁這種模型的一種方法是利用所謂的非局域關聯的傳遞性。在本論文中，我們報告了在關聯性和量子態上尋找此類量子示例的進展。

Quantum mechanics remains a central part of modern physics. One of its important features is called quantum nonlocality, which tells us quantum mechanics can not be explained by any physical model that involves both locality and reality. One way to possibly explain quantum nonlocality is using superluminal hidden influence. These nonlocal correlations could only be observed after the hidden influence from one party arrives at the other side. One way of refuting such a model is to make use of so-called transitivity of nonlocality. In this thesis, we report progress towards finding a quantum example of this kind, both at the level of correlations and at the level of quantum states.

中文摘要 ............................................................................ i
Abstract ............................................................................. ii
Acknowledgements ........................................................... iii
Contents ............................................................................ iv
List of Tables ..................................................................... v
List of Figures ................................................................... vi
Introduction .................................................................... 1
1 Preliminary .................................................................. 1
2 Correlation .................................................................. 1
3 Bell-nonlocality ............................................................ 2
4 Navascués-Pironio-Acı́n hierarchy .............................. 4
5 Moroder hierarchy ....................................................... 7
6 v-causal model ............................................................ 7
Nonlocal Transitivity ....................................................... 10
1 Definition ..................................................................... 10
2 Tools available for the search of examples ................. 10
2.1 Via a gap in Bell violation ......................................... 10
2.2 Visibility maxing ........................................................ 11
3 Numerical results ......................................................... 12
3.1 m A = 4, m B = 4, k A = 2, k B = 2 ............................. 14
3.2 m A = 3, m B = 6, k A = 2, k B = 2 ............................. 15
3.3 m A = 3, m B = 3, k A = 3, k B = 3 ............................. 16
Entanglement Transitivity ................................................ 18
1 Definition ...................................................................... 18
2 Peres–Horodecki criterion ............................................ 18
3 Semidefinite programming methods ............................ 19
4 Unique entanglement transitivity .................................. 20
5 Some numerical results ................................................ 23
Summary ......................................................................... 27
References ......................................................................... 28
                                    

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2022-10-21公開

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