Characterizing high-dimensional entanglement and coherence

表征高维纠缠和相干性

• 批准号: 440958198
• 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/440958198?language=en
• 关键词: Characterizing; dimensional; entanglement; coherence

Entanglement and coherence are fundamental phenomena in quantum mechanics; moreover, they play a central role in quantum information processing. The characterization of these effects is often restricted to low-dimensional systems such as qubits, which simplifies the problem. In recent years, however, experimental progress enabled the control of high-dimensional quantum systems and theoretical works demonstrated potential advantages of information processing in the high-dimensional case. This project aims at a full understanding of entanglement and coherence in high-dimensional quantum systems. We consider different notions of high-dimensional and multi-level entanglement and coherence, and characterize them via analytical criteria and algorithmic approaches. Furthermore, we study their usefulness for tasks like quantum metrology or randomness generation. The project deepens the general understanding of quantum correlations and also provides useful tools for quantum optics experiments and implementations of quantum information processing.

纠缠和连贯性是量子力学中的基本现象。此外，它们在量子信息处理中起着核心作用。这些效果的表征通常仅限于诸如Qubits之类的低维系统，这简化了问题。然而，近年来，实验进步使得能够控制高维量子系统，而理论作品在高维情况下表现出了信息处理的潜在优势。该项目的目的是对高维量子系统中的纠缠和连贯性有充分的了解。我们考虑了高维和多层纠缠和连贯性的不同概念，并通过分析标准和算法方法来表征它们。此外，我们研究了它们对量子计量学或随机性产生等任务的有用性。该项目加深对量子相关性的一般理解，还为量子光学实验和量子信息处理的实现提供了有用的工具。