从量子经典混杂的角度探索量子信息处理系统的物理实现

Considering that quantum information processing systems, such as quantum computers and quantum communication systems, are quantum-classical hybrids, we propose that the realization of general quantum information processing systems are comprehensively studied from the viewpoint of quantum-classical hybrid， and the theoretical research will be examined by the experimental development of some typical quantum information processing missions like teleportation. Based on C* Algebras, Fisher information theory, quantum operation theory and operator theory, we will explore how to describe general quantum information processing systems by quantum-classical hybrid model, and exploit conditions for realization of quantum information processing system. It is hopefully expected that both generalized version of Paley-Weiner Theorem for quantum information processing systems and generalized information inequalities for quantum-classical hybrid systems will be obtained. Furthermore, we will explore the realization of quantum information processing systems with continuous variable by studying Dirac's symbolic method and its recent develepment.

鉴于量子计算和量子通信等量子信息处理系统都是量子-经典混杂系统，本项目建议以量子-经典混杂系统为视角，紧密结合量子隐形传态等典型量子信息处理任务的实验进展，系统研究一般量子信息处理系统的物理实现问题。具体研究内容包括：在C*代数、Fisher信息理论、量子操作理论和算子理论的基础上，探索描述量子信息处理系统的量子-经典混杂模型框架，研究量子信息处理系统的物理可实现性的条件，推广获得适用于量子信息处理系统的Paley-Wiener定理，探求量子-经典混杂系统的广义信息不等式，给出量子信息处理任务的若干极限。借鉴狄拉克符号法及其进展，进一步探索连续变量量子信息处理系统的物理实现问题。

鉴于量子计算和量子通信等量子信息处理系统都是量子-经典混杂系统，本项目以量子-经典混杂系统为视角，紧密结合量子隐形传态、量子态远程态制备、量子克隆、量子纠缠资源制备等典型量子信息处理任务，从具体到一般，深入研究了量子信息处理系统的物理实现问题。对于理想的量子信息处理任务，人们已经辨识出三种典型的通讯资源：量子通道，经典通道和纠缠，但是考虑到非最大纠缠、非理想量子测量、非理想的量子通道和非理想的经典通道等非理想条件，我们在考虑量子信息处理的物理可实现问题时，仅仅考虑三种理想资源是远远不够的，而必须把量子处理任务的成功概率，实际量子态与预期量子态的保真度等指定的性能指标，纳入量子-经典混杂系统的资源不等式中，这也正是我们研究发生部分主题转移的原因，我们也将进一步结合非理想量子测量条件下的量子控制系统理论的问题，深入研究量子-经典混杂系统的物理实现问题。