Aspects of Quantum Steering

量子转向的各个方面

• 批准号: 447948357
• 负责人: Professor Dr. Otfried Gühne
• 金额: --
• 依托单位: Department Physik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/447948357?language=en
• 关键词: Aspects; Quantum; Steering

In 1935, Schrödinger noted that the ability of one experimenter to affect another separated quantum system by performing measurements locally is central to the Einstein-Podolsky-Rosen argument. Although this does not allow to transmit information, he was fascinated by this kind of action at a distance and called it ``quantum steering''. In the modern view, quantum steering is a form of quantum correlations related to, but independent of, entanglement and Bell non-locality. Moreover, quantum steering has been proven to be directly connected to many topics in quantum foundations and quantum information processing, such as measurement incompatibility and quantum cryptography.In this project we will investigate several aspects of quantum steering. In the first part, we will characterize quantum steering using techniques from quantum information theory. More specifically, we will provide criteria for the detection of steering from entropic uncertainty relations. In addition, we aim at deriving entropic uncertainty relations from results on steerability. In the second part we will study quantum steering in an abstract manner, based on a geometrical approach. This will lead to novel algorithms and analytical tools to characterize steering in high-dimensional systems. Moreover, we will study the quantification of steering and discuss applications to quantum information processing. The project will result in a novel understanding of quantum steering and its connection to uncertainty relations. This will enable new insights into quantum information processing in asymmetric scenarios and may lead to a better analysis of experiments aiming at the generation of quantum correlations.

Schrödinger在1935年指出，一个实验者通过在当地进行测量来影响另一个分离的量子系统的能力对于爱因斯坦 - 波多尔斯基 - 罗森参数至关重要。尽管这不允许传输信息，但他对这种距离的这种动作着迷，并将其称为``量子转向''。从现代角度来看，量子转向是一种与纠缠和贝尔非本地性相关的量子相关形式。此外，量子转向已被证明直接连接到量子基础和量子信息处理中的许多主题，例如测量不兼容和量子加密。在该项目中，我们将研究量子转向的几个方面。在第一部分中，我们将使用量子信息理论的技术来表征量子转向。更具体地说，我们将提供从熵不确定性关系中检测转向的标准。此外，我们旨在从可管道性的结果中得出熵不确定性关系。在第二部分中，我们将基于几何方法以抽象的方式研究量子转向。这将导致新颖的算法和分析工具来表征高维系统中的转向。此外，我们将研究转向和讨论应用程序中量子信息处理的量化。该项目将对量子转向及其与不确定性关系的联系产生新的了解。这将使在非对称场景中对量子信息处理的新见解，并可能导致对旨在产生量子相关性的实验进行更好的分析。