Exploring Nonclassical States for Quantum Metrology via Quantum Resource Theory

量子计量学是利用量子理论对物理参数进行高分辨率和高灵敏度测量的研究。在这一领域的发展，不仅可以提高我们对自然的根本基础的认识，而且可以促进国家安全和技术。在量子计量中，光的非经典态是提高灵敏度的必要资源。定量理解这些状态作为量子增强任务的资源对于实际传感应用至关重要。然而，这种对量子计量非经典态的观点还没有得到充分的发展。本项目将以新的视角研究在量子增强计量资源理论框架下的非经典态的量化方法。该项目的结果可以为使用非经典状态进行量子计量提供新的方案，并激发新的实验，为未来的量子技术奠定基础。该项目的广泛影响包括培养理论量子物理研究生，为高级本科生提供研究机会，并建立量子信息科学领域的多元化劳动力。这个项目是在交叉的三个研究前沿：量子计量，非经典状态，和量子资源理论。量子资源理论为从新的基础角度研究量子现象提供了一个强有力的框架。基于非经典资源理论，PI小组将研究模拟非经典状态光学损耗的量子通道和光学损耗环境中非经典状态的计量功率，以探索量子计量的鲁棒状态。PI的小组还将研究资源理论任务，以操纵这些非经典状态进行计量。这些任务将有助于定量地理解哪些操作可以增强状态的资源，哪些操作可以减少非经典性。PI的小组将使用资源理论研究线性网络中状态的非经典性分布。指定的研究成果可以为量子计量提供新的实验方案，并加深对非经典性作为量子信息科学资源的理解。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

Quantum metrology is the study of making high-resolution and highly sensitive measurements of physical parameters using quantum theory. Development in this field will not only improve our understanding of the fundamental underpinnings of nature, but also advance national security and technology. Nonclassical states of light are essential resources for achieving enhanced sensitivity in quantum metrology. Quantitative understanding of these states as a resource for quantum-enhanced tasks is crucial for practical sensing applications. However, such a perspective on nonclassical states for quantum metrology is not fully developed. This project will take the new perspective to investigate methods of quantifying nonclassical states in the framework of a resource theory for quantum-enhanced metrology. The results of this project could provide new schemes for performing quantum metrology using nonclassical states and motivate new experiments, which will build the foundations for future quantum technologies. Broader impacts of this project include training graduate students in theoretical quantum physics, providing research opportunities for advanced undergraduates, and building a diverse workforce in quantum information science.This project is at the intersection of three research frontiers: quantum metrology, nonclassical states, and quantum resource theories. Quantum resource theories provide a powerful framework for studying quantum phenomena from a new foundational perspective. Based on the resource theory of nonclassicality, the PI’s group will investigate quantum channels of modeling optical loss of a nonclassical state and the metrological power of a nonclassical state in an optical lossy environment for exploring robust states for quantum metrology. The PI’s group will also study resource-theory tasks in manipulating these nonclassical states for metrology. These tasks will help to understand quantitatively what operations can enhance the resource of a state and what operations can reduce the nonclassicality. The PI’s group will investigate the distribution of nonclassicality of a state in a linear network using the resource theory. The outcomes of the designated research can provide new schemes of experiments in quantum metrology and develop a deeper understanding of nonclassicality as a resource for quantum information science.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.