相対論的量子測定理論及び相対論的量子情報理論の研究

相对论量子测量理论和相对论量子信息论研究

• 批准号: 13F03757
• 负责人: 小澤 正直
• 金额: $ 1.47万
• 依托单位: Nagoya University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for JSPS Fellows
• 财政年份: 2013
• 资助国家: 日本
• 起止时间: 2013-04-01 至 2016-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13F03757/
• 关键词: Quantum mechanics; Special relativity; Quantum information; Quantum communication

This project has the goal of extending quantum information theory to the relativistic domain by studying how relativity affects entangled systems. We focus on how Lorentz boosts change the entanglement of massive bipartite spin-1/2 systems in various geometries. Since these systems do not admit analytic treatment, we resort to numerical methods to calculate the concurrence of spin degrees of freedom of a two particle system with momenta in various product and entangled states, with the spins given by the Bell state. The momenta took the form of Gaussians and the geometry ensured that the spins undergo maximal Wigner rotation. We also obtained the diagonal representation of the spin state, allowing us to represent the spin orbits in a three dimensional manner, thereby giving further geometric insight into the behavior of the state. These results are significant because they extend the theory of entanglement to the relativistic regime. Entanglement means that quantum systems exhibit correlations which are not possible from the classical point of view. In quantum information theory entanglement is viewed as resource that promises new technologies which enable information processing tasks that are beyond the classical theory. Achieving a relativistic account of entanglement is important both from the theoretical and practical vantage point since the correct theory of reality is relativistic. These results contribute to the goal of explaining the behavior of quantum information in relativity; they also help extend applications of quantum information to relativistic systems.

该项目的目标是通过研究相对论如何影响纠缠系统，将量子信息理论扩展到相对论领域。我们关注洛伦兹如何增强各种几何形状中巨大的二分化自旋1/2系统的纠缠。由于这些系统不接受分析治疗，因此我们诉诸于数值方法，以计算两个粒子系统的自由度与各种产物和纠缠状态的动量的自由度的并发，并用贝尔状态给出旋转。该动量采取了高斯人的形式，几何形状确保了旋转的最大旋转器旋转。我们还获得了旋转状态的对角线表示，使我们能够以三维方式表示旋转轨道，从而进一步了解状态的行为。这些结果很重要，因为它们将纠缠理论扩展到了相对论政权。纠缠意味着量子系统表现出相关性，从经典的角度来看。在量子信息理论中，纠缠被视为承诺新技术的资源，该技术可以使信息处理任务超出经典理论。从理论和实际有利的角度来看，实现纠缠的相对论描述至关重要，因为正确的现实理论是相对论的。这些结果有助于解释相对论量子信息的行为。它们还有助于将量子信息的应用扩展到相对论系统。

项目成果

Transfer of entanglement for two relativistic particles

两个相对论粒子的纠缠转移

• 发表时间: 2014
• 作者: Veiko Palge