量子非定域性与量子互文性的研究

项目名称： 量子非定域性与量子互文性的研究

项目编号： No.11475089

项目类型： 面上项目

立项/批准年度： 2015

项目学科： 数理科学和化学

项目作者： 陈景灵

作者单位： 南开大学

项目金额： 80万元

中文摘要： 量子信息学开拓了量子力学应用的新天地，并且激发了人们重新审视和认识量子力学的根本问题，诸如量子非定域性、量子互文性和量子测量等。本项目以量子非定域性和量子互文性的研究为核心，构造和发展N-Qudit 系统的贝尔不等式，逐步完善贝尔不等式领域的理论框架，并用它们来揭示贝尔非定域性；研究基于MABK 不等式和Svetlichny 不等式的博弈理论；研究多体多维量子系统的Hardy 佯谬；研究Steering 非定域性、量子互文性、量子失协以及Leggett 模型中的Hardy-type 佯谬；研究EPR Steering 判据以及三种量子非定域性之间的关系；研究量子互文性和贝尔非定域性之间的关系；研究相对论效应对于量子互文性、量子非定域性和量子纠缠的影响等诸多有意义的课题。对量子非定域性和量子互文性的进一步深入研究将加深我们对量子力学基本问题的理解，并有助于人们更好地应用量子力学。

中文关键词： 量子信息；量子纠缠；量子关联；量子物理；量子失协

英文摘要： Quantum information theory has opened a new research area for quantum mechanics, and stimulated people to re-look at the fundamental problems of quantum mechanics, such as quantum nonlocality, quantum contextuality and quantum measurement. The project is planed to study quantum nonlocality and quantum contextuality. We shall construct and develop N-qudit Bell inequalities and use them to reveal the quantum nonlocality. We shall study quantum game theory based on the MABK inequality and Svetlichny inequality. We shall study the Hardy paradox for N-qudit systems. We shall study the Hardy-type paradox for EPR steering, quantum contextuality, quantum discord and Leggett model. We shall study EPR steering criterion and the relation among three kinds of quantum nonlocalities. We shall study the connection between quantum contextuality and quantum nonlocality. We shall study the relativistic effects for quantum contextuality, quantum nonlocality and quantum entanglement. The further research on quantum nonlocality and quantum contextuality will not only deepen our knowledge of quantum mechanics, but also make better applications in quantum mechanics.

英文关键词： quantum information;quantum entanglement;quantum correlation;quantum physics;quantum discord