PT-对称量子理论中的量子测量

Quantum Measurement of PT-Symmetric Quantum Theory

摘要: 量子计算机是一类遵循量子力学规律进行高速数学和逻辑运算、存储及处理量子信息的物理装置，量子测量是量子信息和量子计算中的一类重要研究课题，但是在PT-对称量子系统中还没有相关的研究。本文给出PT-对称量子系统中一般量子测量的概念，并运用矩阵和算子论的方法，对这个问题进行了详细的讨论，得到了PT-对称量子系统中关于量子测量的两个结果。

Abstract: Quantum computer is a kind of physical device which carries out mathematical and logical calculations, and stores and manages the quantum information efficiently under the rule of the quantum mechanics. Quantum measurement is an important research topic in quantum information and quantum computing realm, however, the relative research has not appeared in the PT-symme- trical quantum system. In this paper, we give the general concept of quantum measurement in the PT-symmetrical quantum system. Moreover, the detailed discussion is described by using the methods of matrix and operation theory, and we obtain two results about quantum measurement in the PT-symmetrical quantum system.