基于光场高斯态的量子无错分辨的研究

量子状态分辨是新兴的量子信息领域的基本问题，也是实现诸多量子信息处理任务的关键。近年来,“量子无错分辨”以接近零错完美的检测性能，成为量子信息备受关注的分支。此外，以高斯态为代表的连续变量量子系统对量子极限技术的实现具有重要意义。目前，高斯态量子无错分辨的研究相对匮乏，令量子状态分辨的研究及量子信息技术的发展受到制约。本项目着眼于光场高斯态的量子无错分辨，依次展开三方面的研究：一、推广量子无错分辨至“相空间表示”，建立高斯态量子无错分辨的理论框架；二、获得压缩态量子无错分辨的量子性能界限，设计光场压缩态量子无错分辨的物理可实现方案；三、开展光场相干态的量子无错分辨实验，改进热场噪声背景下的标准量子极限性能。对上述问题的解决，将填补连续变量量子无错分辨的研究空白。这不仅加深了人们对量子信息基本问题的认识，还将为量子信息处理任务的实现提供理论依据与技术支撑，为我国量子信息领域的研究赢得先机。

The quantum state discrimination is one of the fundamental topic for the quantum information area, it plays a key role in the research task of quantum information processing. Recently, the quantum unambiguous state discrimination become a dominant direction of the quantum information research because of its perfect detection performance of error-free. Meanwhile, the continuous variable quantum system, with the Gaussian state as a representation, is of prominent significance to the implementation of quantum-limited techniques. As is a situation, the research on unambiguous state discrimination with Gaussian states is very rare, hence places a restraint on the developing of quantum state discrimination and the quantum information processing. This project involves the quantum unambiguous state discrimination with the optical Gaussian states, the procedure of research is set to be three steps: 1. extend the unambiguous state discrimination to the phase space representation, draw the theory frame of unambiguous state discrimination with the Gaussian state; 2. acquire the quantum performance bound for the unambiguous state discrimination with the squeezed states, then design the physical implementary scheme of unambiguous state discrimination with the optical squeezed state; 3. implement the experiment of unambiguous state discrimination with the optical coherent state, improve the standard-quantum-limited performance in the presence of thermal noise fields. The effort of our work will fill in the vacancy in the research of the continuous variable unambiguous state discrimination. The result will aggregate people’s understanding of the essence of quantum information, and provide the theory basis and technology support for the implementation of quantum information processing, which will win the precedence on the quantum information research for our country.