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Quantum correlation and entropic uncertainty in a quantum-dot system |
| Ying-Yue Yang(杨颖玥), Li-Juan Li(李丽娟), Liu Ye(叶柳), and Dong Wang(王栋)† |
| School of Physics and Optoelectronic Engineering, Anhui University, Hefei 230601, China |
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Abstract We explore the dynamical behaviors of the measurement uncertainty and quantum correlation for a vertical quantum-dot system in the presence of magnetic field, including electron-electron interaction and Coulomb-blocked systems. Stemming from the quantum-memory-assisted entropic uncertainty relation, the uncertainty of interest is associated with temperature and parameters related to the magnetic field. Interestingly, the temperature has two kinds of influences on the variation of measurement uncertainty with respect to the magnetic-field-related parameters. We also discuss the relation between the lower bound of Berta et al. and the quantum discord. It is found that there is a natural competition between the quantum discord and the entropy minΠiBSΠiB(ρA|B). Finally, we bring in two improved bounds to offer a more precise limit to the entropic uncertainty.
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Received: 15 March 2022
Revised: 23 May 2022
Accepted manuscript online:
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PACS:
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03.67.-a
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(Quantum information)
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03.65.Ta
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(Foundations of quantum mechanics; measurement theory)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12075001, 61601002, and 12175001), the Anhui Provincial Key Research and Development Plan (Grant No. 2022b13020004), the Anhui Provincial Natural Science Foundation (Grant No. 1508085QF139), and the Fund of CAS Key Laboratory of Quantum Information (Grant No. KQI201701). |
Corresponding Authors:
Dong Wang
E-mail: dwang@ahu.edu.cn
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Cite this article:
Ying-Yue Yang(杨颖玥), Li-Juan Li(李丽娟), Liu Ye(叶柳), and Dong Wang(王栋) Quantum correlation and entropic uncertainty in a quantum-dot system 2022 Chin. Phys. B 31 100303
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