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.

纠缠和相干是量子力学中的基本现象，在量子信息处理中起着重要作用。这些效应的表征通常限于低维系统，如量子比特，这简化了问题。然而，近年来，实验的进展使控制的高维量子系统和理论工作表明，在高维情况下的信息处理的潜在优势。该项目旨在充分理解高维量子系统中的纠缠和相干性。我们考虑不同的概念，高维和多层次的纠缠和相干性，并通过分析标准和算法的方法来表征它们。此外，我们还研究了它们在量子计量学或随机生成等任务中的有用性。该项目深化了对量子关联的一般理解，也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。