研究生: |
劉沛樺 Liu, Pei-Hua |
---|---|
論文名稱: |
Topics on quantum entanglement: anti-Unruh phenomena and holographic quantum energy teleportation Topics on quantum entanglement: anti-Unruh phenomena and holographic quantum energy teleportation |
指導教授: |
林豐利
Lin, Feng-Li |
學位類別: |
博士 Doctor |
系所名稱: |
物理學系 Department of Physics |
論文出版年: | 2017 |
畢業學年度: | 105 |
語文別: | 英文 |
論文頁數: | 141 |
中文關鍵詞: | Entanglement 、Decoherence 、Quantum energy teleportation 、Topological qubit 、Holographic 、AdS/CFT |
英文關鍵詞: | Entanglement, Decoherence, Quantum energy teleportation, Topological qubit, Holographic, AdS/CFT |
DOI URL: | https://doi.org/10.6345/NTNU202201892 |
論文種類: | 學術論文 |
相關次數: | 點閱:125 下載:28 |
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無中文摘要
Two topics on entanglement are concerned in this thesis: One is the decoherence patterns of a topological qubit made of two Majorana zero modes in the generic linear and circular motions and the other is a simplified protocol of quantum energy teleportation (QET) for the holographic conformal field theory in three-dimensional anti-de Sitter space with or without a black hole.
On the first topic, the exact reduced dynamics without Markov approximation is shown. For general time scale, the acceleration causes thermalization as expected by Unruh effect. However, for the short-time scale, the rate
of decoherence is anti-correlated with the acceleration, as a kind of decoherence impedance. This is in fact related to the “anti-Unruh" phenomenon previously found by studying the transition probability of Unruh-DeWitt detector. Besides, the information backflow is observed by some time modulations of coupling constant or acceleration. Moreover, it also shows that some incoherent accelerations of the constituent Majorana zero modes can preserve the coherence instead of thermalizing it.
On the second topic, as a tentative proposal, the standard QET is simplified by replacing Alice’s local measurement with the local projection. At the same time, Bob’s local operation of the usual QET for extracting energy is mimicked by deforming the UV surface with a local bump. Adopting the
surface-state duality, this deformation corresponds to local unitary. In this protocol, the extraction energy is always positive. Moreover, the ratio of extraction energy to the injection one is an universal function of the UV surface deformation profile.
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