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Sharing quantum nonlocality in the noisy scenario

Chinese Physics B 2024年第1期33卷 199-211页

作者：杨舒媛侯晋川贺衎 College of Mathematics Taiyuan University of TechnologyTaiyuan 030024China

It was showed in [Phys. Rev. Lett. 125 090401(2020)] that there exist unbounded number of independent Bobs who can share quantum nonlocality with a single Alice by performing sequentially measurements on the Bob's half of the maximally entangled pure two-qubit state. However, from practical perspectives, errors in entanglement generation and noises in quantum measurements will result in the decay of nonlocality in the scenario. In this paper, we analyze the persistency and termination of sharing nonlocality in the noisy scenario. We first obtain the two sufficient conditions under which there exist n independent Bobs who can share nonlocality with a single Alice under noisy measurements and the noisy initial two qubit entangled state. Analyzing the two conditions, we find that the influences on persistency under different kinds of noises can cancel each other out. Furthermore, we describe the change patterns of the maximal nonlocality-sharing number under the influence of different noises. Finally, we extend our investigation to the case of arbitrary finite-dimensional systems.

关键词： bell nonlocality quantum measurement quantum noise

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Einstein-Podolsky-Rosen Steering and nonlocality in Open Quantum Systems

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Journal of Modern Physics 2024年第4期15卷 462-473页

作者： Abdelaziz Sabik Department of Physics College of Science Imam Mohammad Ibn Saud Islamic University (IMSIU) Riyadh Saudi Arabia

We investigate the dynamical behavior of quantum steering (QS), bell nonlocality, and entanglement in open quantum systems. We focus on a two-qubit system evolving within the framework of Kossakowski-type quantum dynamical semigroups. Our findings reveal that the measures of quantumness for the asymptotic states rely on the primary parameter of the quantum model. Furthermore, control over these measures can be achieved through a careful selection of these parameters. Our analysis encompasses various cases, including bell states, Werner states, and Horodecki states, demonstrating that the asymptotic states can exhibit steering, entanglement, and bell nonlocality. Additionally, we find that these three quantum measures of correlations can withstand the influence of the environment, maintaining their properties even over extended periods.

关键词： Quantum Steering Dynamical Semigroups bell nonlocality Open Quantum System Asymptotic Dynamics Entanglement

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Experimental entanglement quantification for unknown quantum states in a semi-device-independent manner

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Science China(Information Sciences) 2023年第8期66卷 72-79页

作者： Yu GUO Lijinzhi LIN Huan CAO Chao ZHANG Xiaodie LIN Xiao-Min HU Bi-Heng LIU Yun-Feng HUANG Zhaohui WEI Yong-Jian HAN Chuan-Feng LI Guang-Can GUO CAS Key Laboratory of Quantum Information University of Science and Technology of China CAS Center For Excellence in Quantum Information and Quantum Physics University of Science and Technology of China School of Physics and Materials Engineering Hefei Normal University Center for Quantum Information Institute for Interdisciplinary Information Sciences Tsinghua University Vienna Center for Quantum Science and Technology Faculty of Physics University of Vienna Yau Mathematical Sciences Center Tsinghua University

Using the concept of non-degenerate bell inequality, we show that quantum entanglement, the critical resource for various quantum information processing tasks, can be quantified for any unknown quantum state in a semi-device-independent manner, where the quantification is based on the experimentally obtained probability distributions and prior knowledge of the quantum dimension only. Specifically, as an application of our approach to multi-level systems, we experimentally quantify the entanglement of formation and the entanglement of distillation for qutrit-qutrit quantum systems. In addition, to demonstrate our approach for multi-partite systems, we further quantify the geometric measure of entanglement of three-qubit quantum systems. Our results supply a general way to reliably quantify entanglement in multi-level and multi-partite systems, thus paving the way to characterize many-body quantum systems by quantifying the involved entanglement.

关键词： entanglement quantification semi-device-independent bell nonlocality multi-partite system multi-level system

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Sharing quantum nonlocality in star network scenarios

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Frontiers of physics 2023年第3期18卷 193-201页

作者： Tinggui Zhang Naihuan Jing Shao-Ming Fei School of Mathematics and Statistics Hainan Normal UniversityHaikou 571158China College of Sciences Shanghai UniversityShanghai 200444China Department of Mathematics North Carolina State UniversityRaleighNC 27695USA School of Mathematical Sciences Capital Normal UniversityBeijing 100048China Max-Planck-Institute for Mathematics in the Sciences Leipzig 04103Germany

The bell nonlocality is closely related to the foundations of quantum physics and has significant applications to security questions in quantum key distributions.In recent years,the sharing ability of the bell nonlocality has been extensively studied.The nonlocality of quantum network states is more complex.We first discuss the sharing ability of the simplest bilocality under unilateral or bilateral POVM measurements,and show that the nonlocality sharing ability of network quantum states under unilateral measurements is similar to the bell nonlocality sharing ability,but different under bilateral measurements.For the star network scenarios,we present for the first time comprehensive results on the nonlocality sharing properties of quantum network states,for which the quantum nonlocality of the network quantum states has a stronger sharing ability than the bell nonlocality.

关键词： bell nonlocality quantum network nonlocality sharing POVM measurements

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Inequality relations for the hierarchy of quantum correlations in two-qubit systems

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Frontiers of physics 2023年第1期18卷 219-227页

作者： Xiao-Gang Fan Fa Zhao Huan Yang Fei Ming Dong Wang Liu Ye School of Physics and optoelectronics engineering Anhui UniversityHefei 230601China Department of Experiment and Practical Training Management West Anhui UniversityLu’an 237012China Institute of Advanced Manufacturing Engineering Hefei UniversityHefei 230022China

Entanglement,quantum steering and bell nonlocality can be used to describe the distinct quantum correlations of quantum systems.Because of their different characteristics and application fields,how to divide them quantitatively and accurately becomes particularly important.Based on the sufficient and necessary criterion for quantum steering of an arbitrary two-qubit T-state,we derive the inequality relations between quantum steering and entanglement as well as between quantum steering and bell nonlocality for the T-state.Additionally,we have verified those relations experimentally.

关键词： entanglement quantum steering bell nonlocality inequality relation

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