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

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。我们重点讨论了洛伦兹助推如何改变自旋为1/2的大质量两体系统在不同几何结构下的纠缠。由于这些系统不允许解析处理，我们采用数值方法计算了动量为各种乘积态和纠缠态的两粒子系统的自旋自由度与Bell态的自旋的纠缠度.动量采取高斯形式，几何形状确保自旋经历最大维格纳旋转。我们还获得了自旋态的对角表示，使我们能够以三维方式表示自旋轨道，从而进一步了解状态的几何行为。这些结果是有意义的，因为它们扩展了纠缠理论的相对论制度。纠缠意味着量子系统表现出从经典观点来看不可能的相关性。在量子信息理论中，纠缠被看作是一种资源，它预示着新的技术，使信息处理任务超越了经典理论。从理论和实践的Vantage来看，实现纠缠的相对论解释都很重要，因为正确的实在理论是相对论的。这些结果有助于解释量子信息在相对论中的行为，也有助于将量子信息的应用扩展到相对论系统。

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.