Topics on quantum entanglement: anti-Unruh phenomena and holographic quantum energy teleportation

Topics on quantum entanglement: anti-Unruh phenomena and holographic quantum energy teleportation

劉沛樺(Liu Pei-Hua)

指導教授 ： 林豐利

國立臺灣師範大學/理學院/物理學系/博士(2017年)

https://doi.org/10.6345/NTNU202201892

摘要

無中文摘要

關鍵字

Entanglement ； Decoherence ； Quantum energy teleportation ； Topological qubit ； Holographic ； AdS/CFT

並列摘要

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.

並列關鍵字

Entanglement ； Decoherence ； Quantum energy teleportation ； Topological qubit ； Holographic ； AdS/CFT

參考文獻

Bibliography

[1] Pei-Hua Liu and Feng-Li Lin, “Decoherence of topological qubit in linear and circular motions: decoherence impedance, anti-Unruh and informa- tion backflow,” JHEP 1607 (2016) 084 [arXiv:1603.05136 [quant-ph]].

[2] Dimitrios Giataganas, Feng-Li Lin, and Pei-Hua Liu , "Towards holo- graphic quantum energy teleportation," Phys. Rev. D 94, 126013 (2016) [arXiv:1608.06523 [hep-th]].

[3] Shih-Hao Ho, Sung-Po Chao ,Chung-Hsien Chou and Feng-Li Lin, “De- coherence patterns of topological qubits from Majorana modes," New J. Phys. 16, no. 11, 113062 (2014) [arXiv:1406.6249 [cond-mat.str-el]].

[4] H. D. Zeh,“On the Interpretation of Measurement in Quantum Theory,” Found. Phys.1: 69 (1970).