量子信道非纠缠破坏特性的度量及其在信道容量中的应用

The non-entanglement-breaking (nonEB) feature is one of the fundamental differences between quantum channels and classical channels, and plays a necessary role in practical transmitting and distributing entanglement, as well as in processing and storing quantum information. The investigation of nonEB feature can help to understand the properties of quantum entanglement in time and offer the theoretical support for novel quantum technologies such as quantum networks and quantum cloud computing. Currently, numerous results have been achieved in the qualitative study of the nonEB feature, while the quantitative study is far from enough, which restricts the discussion on the ability of communication channels or quantum devices to convey classical and quantum information..In this proposal, we plan to quantitatively investigate the nonEB feature of quantum channels. We plan to use useful methods in quantum correlations to exhibit the measure of nonEB feature, and apply the measure in the study of quantum channel capacities and quantum protocol designations. We aim at: 1) developing a systematic method for quantitatively investigating the distribution and storage of entanglement; 2) developing an efficient method to evaluate quantum channel capacities with operational and quantum-correlation advantages; 3) exploring the general method for designing and optimizing quantum protocols. The implementation of our proposal would not only benefit the development of quantum entanglement theory, but also provide theoretical bases for benchmarking functions of quantum devices and optimizing the designation of quantum protocols.

非纠缠破坏特性是量子信道相对于经典信道的本质区别之一，是实际中传输和分发纠缠、储存和处理量子信息的必要条件；其研究既有助于理解量子纠缠在时间上的性质，也为以量子网络和量子云计算为代表的新兴量子技术提供理论支撑。目前，人们对非纠缠破坏特性的定性研究已有一定成果，但定量研究的发展还远远不够，因此限制了对通信信道以及量子仪器纠缠保持能力的分析和评估。.本项目申请拟就量子信道的非纠缠破坏特性展开量化研究：拟通过量子关联的常用研究方法，建立非纠缠破坏特性的度量，并应用到量子信道容量、量子协议设计的研究中。本项研究旨在：1) 发展一套定量研究量子信道分发和储存纠缠能力的系统分析方法；2) 建立一种可操作的、具有量子关联优势的量子信道容量有效估计方法；3) 探索量子协议设计与优化的普适方法。本项目的实施，不但有助于完善量子纠缠基础理论，还可望为量子仪器的功能标定、量子协议的设计优化提供理论基础。

量子信息处理中，量子信道的非纠缠破坏特性对量子协议的执行至关重要。本项目从量子信道的非纠缠破坏特性出发，研究了若干量子信道及量子协议相关的问题。取得进展包括：（a）制定了一种统一且高效的制备-测量方法来检测非纠缠破坏信道；（b）忠实地演示了量子 Mermin-Peres 游戏并使用全光子实验平台展示了量子伪心灵感应；（c）参与完成了基于光子装置的DIQKD的原理验证实验；（d）分析并得到了有限时间下比特重置的功耗通用下界；（e）发展了可用于任何数量多方任意广义GHZ测量自测试的通用方法。我们的工作加深了人们对量子信道的非纠缠破坏特性理解，为其在量子信息领域的应用的提供了理论支持和方法支撑。