CAREER: Quantifying Noisy Quantum Resources

虽然量子力学最初是为了描述极小的领域，但在过去的几十年里，人们越来越清楚地看到，量子理论本质上是一种信息理论。这一认识为更全面地理解量子理论和信息理论打开了大门。通过询问如何最好地存储、传输和处理信息，可以识别量子理论的关键特征，并能够识别适用于所有信息技术的基本极限。该项目旨在识别、量化并最终理解量子信息理论中的基本资源。它研究了噪声资源的最优相互转换率，如量子通信链路和噪声量子态。了解如何组合这些嘈杂的资源以产生量子协同效应是一个需要解决的关键挑战，确定这种协同效应的潜在应用也是一项关键挑战。同样关键的是，确定何时排除这种协同效应(又称非相加)是一个需要解决的关键挑战：该项目寻求确定哪些资源是相加的，以及如何量化这些资源。最后，该项目寻求使用为解决可加性和非可加性而开发的技术来在量子信息论和计算复杂性理论之间建立桥梁。研究将由PI与一名研究生一起进行，他们将从物理、信息论、理论计算机科学和数学中学习方法和想法。

While quantum mechanics was originally developed to describe the realm of the very small, it has become increasingly clear over the past decades that quantum theory is at bottom a theory of information. This realization opens the door for a more complete understanding of both quantum theory and information theory. Asking how to best store, transmit, and process information allows the identification of key features of quantum theory and enables the identification of the fundamental limits applying to all information technologies.This project aims to identify, quantify, and ultimately understand the fundamental resources in quantum information theory. It studies optimal interconversion rates of noisy resources, such as quantum communication links and noisy quantum states. Understanding how such noisy resources can be combined to generate quantum synergies is a key challenge to be tackled, as is identifying potential application of such synergies. Just as crucially, determining when such synergies (aka non-additivities) are ruled out is a key challenge to be tackled: This project seeks to determine which resources are additive, and how they can be quantified. Finally, the project seeks to use techniques developed to address additivity and non-additivity to build bridges between quantum information theory and computational complexity theory.The research will be carried out by the PI together with a graduate student, who will learn methods and ideas from physics, information theory, theoretical computer science, and mathematics.