Quantum correlation and entropic uncertainty in a quantum-dot system

doi:10.1088/1674-1056/ac7295

中国物理B ›› 2022, Vol. 31 ›› Issue (10): 100303-100303.doi: 10.1088/1674-1056/ac7295

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

收稿日期:2022-03-15 修回日期:2022-05-23 出版日期:2022-10-16 发布日期:2022-09-16
通讯作者: Dong Wang E-mail:dwang@ahu.edu.cn
基金资助:
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).

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

Received:2022-03-15 Revised:2022-05-23 Online:2022-10-16 Published:2022-09-16
Contact: Dong Wang E-mail:dwang@ahu.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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 min_{Π_i^B}S_{Π_i^B}(ρ_A|B). Finally, we bring in two improved bounds to offer a more precise limit to the entropic uncertainty.

关键词: entropic uncertainty relation, quantum correlation, quantum dot

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 min_{Π_i^B}S_{Π_i^B}(ρ_A|B). Finally, we bring in two improved bounds to offer a more precise limit to the entropic uncertainty.

Key words: entropic uncertainty relation, quantum correlation, quantum dot

中图分类号: (Quantum information)

03.67.-a

03.65.Ta (Foundations of quantum mechanics; measurement theory) 03.65.Ud (Entanglement and quantum nonlocality)

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[J]. 中国物理B, 2022, 31(10): 100303-100303.

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[J]. Chin. Phys. B, 2022, 31(10): 100303-100303.

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Quantum correlation and entropic uncertainty in a quantum-dot system

Quantum correlation and entropic uncertainty in a quantum-dot system

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