吉林大学学报(理学版) ›› 2020, Vol. 58 ›› Issue (1): 77-85.

• 数学 • 上一篇    下一篇

不相干算子和强不相干算子的刻画

田瑞, 陈峥立, 李蕊   

  1. 陕西师范大学 数学与信息科学学院, 西安 710062
  • 收稿日期:2019-09-27 出版日期:2020-01-26 发布日期:2020-01-12
  • 通讯作者: 陈峥立 E-mail:czl@snnu.edu.cn

Characterizations of Incoherent Operators and Strongly Incoherent Operators

TIAN Rui,  CHEN Zhengli, LI Rui   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
  • Received:2019-09-27 Online:2020-01-26 Published:2020-01-12
  • Contact: CHEN Zhengli E-mail:czl@snnu.edu.cn

摘要: 用算子代数和矩阵论的方法研究不相干量子运算和严格不相干量子运算所对应的kraus算子分解. 首先, 给出有界线性算子是不相干算子的等价条件及不相干算子的具体形式, 并给出用不相干算子刻画不相干量子运算的方法; 其次, 给出强不相干算子的具体形式及用强不相干算子刻画严格不相干量子运算的方法, 并给出严格不相干量子运算与不相干量子运算的关系.

关键词: 不相干算子, 强不相干算子, 不相干量子运算, 严格不相干量子运算

Abstract: We studied  the kraus operator decomposition corresponding to incoherent quantum operations and strictly incoherent quantum operations  by means of operator algebra and matrix theory. Firstly, we gave the equivalence conditions of bounded linear operators as incoherent operators and the concrete forms of incoherent operators, and gave the method  of characterizing incoherent quantum operations with incoherent operators. Secondly,  we gave the concrete forms of strongly incoherent operators and the method of characterizing  strictly incoherent quantum operations with strongly incoherent operators, and gave the relationship between strictly incoherent quantum operations and incoherent quantum operations.

Key words: incoherent operator, strictly incoherent operator, incoherent quantum operation, strongly incoherent quantum operation

中图分类号: 

  • O177.1