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Autores principales: Du, Ming-Ming, Li, Hong-Wei, Shen, Shu-Ting, Yan, Xiao-Jing, Li, Xi-Yun, Zhou, Lan, Zhong, Wei, Sheng, Yu-Bo
Formato: Preprint
Publicado: 2025
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Acceso en línea:https://arxiv.org/abs/2512.10210
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author Du, Ming-Ming
Li, Hong-Wei
Shen, Shu-Ting
Yan, Xiao-Jing
Li, Xi-Yun
Zhou, Lan
Zhong, Wei
Sheng, Yu-Bo
author_facet Du, Ming-Ming
Li, Hong-Wei
Shen, Shu-Ting
Yan, Xiao-Jing
Li, Xi-Yun
Zhou, Lan
Zhong, Wei
Sheng, Yu-Bo
contents Quantum uncertainty is deeply linked to quantum correlations and relativistic motion. The entropic uncertainty relation with quantum memory offers a powerful way to study how shared entanglement affects measurement precision. However, under acceleration, the Unruh effect can degrade quantum correlations, raising questions about the reliability of QMA-EUR in such settings. Here, we investigate the QMA-EUR for two uniformly accelerating Unruh-DeWitt detectors coupled to a massless scalar field. Using the Kossakowski-Lindblad master equation, we calculate the entropic uncertainty, its lower bound, and the tightness of the relation under different Unruh temperatures. We find that acceleration does not always increase the lower bound on the uncertainty relation. Depending on the initial correlations between the detectors, it may either increase or decrease. This behavior results from the interplay between quantum discord and minimal missing information. Interestingly, a higher quantum discord does not necessarily lead to lower uncertainty.
format Preprint
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spellingShingle Entropic Uncertainty Relations with Quantum Memory in Accelerated Frames via Unruh-DeWitt Detectors
Du, Ming-Ming
Li, Hong-Wei
Shen, Shu-Ting
Yan, Xiao-Jing
Li, Xi-Yun
Zhou, Lan
Zhong, Wei
Sheng, Yu-Bo
Quantum Physics
Quantum uncertainty is deeply linked to quantum correlations and relativistic motion. The entropic uncertainty relation with quantum memory offers a powerful way to study how shared entanglement affects measurement precision. However, under acceleration, the Unruh effect can degrade quantum correlations, raising questions about the reliability of QMA-EUR in such settings. Here, we investigate the QMA-EUR for two uniformly accelerating Unruh-DeWitt detectors coupled to a massless scalar field. Using the Kossakowski-Lindblad master equation, we calculate the entropic uncertainty, its lower bound, and the tightness of the relation under different Unruh temperatures. We find that acceleration does not always increase the lower bound on the uncertainty relation. Depending on the initial correlations between the detectors, it may either increase or decrease. This behavior results from the interplay between quantum discord and minimal missing information. Interestingly, a higher quantum discord does not necessarily lead to lower uncertainty.
title Entropic Uncertainty Relations with Quantum Memory in Accelerated Frames via Unruh-DeWitt Detectors
topic Quantum Physics
url https://arxiv.org/abs/2512.10210