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。