| (A,B)-量子测量 |
| |
| 引用本文： | 王文华,曹怀信,李玮.(A,B)-量子测量[J].山东大学学报(理学版),2012,47(4):70-76. |
| |
| 作者姓名： | 王文华 曹怀信 李玮 |
| |
| 作者单位： | 陕西师范大学数学与信息科学学院,陕西西安,710062 |
| |
| 基金项目： | 国家自然科学基金资助项目(10571113,10871224);陕西省自然科学研究计划(2009JM1011) |
| |
| 摘 要： | 引入了(A,B)-量子测量的概念,建立了(A,B)-量子测量与以A,B为下、上界的g-框架之间的等价关系,并得到它的直和与乘积运算的一些性质。引入了(A,B)-量子测量的对偶量子测量与测量框架算子,给出了典型对偶的构造方法,通过(A,B)-量子测量,得到了量子态的重构公式。
|
| 关 键 词： | (A B)-量子测量 g-框架 测量框架算子 重构公式 |
(A,B)-quantum measurements |
| |
| WANG Wen-hua,CAO Huai-xin,LI Wei.(A,B)-quantum measurements[J].Journal of Shandong University,2012,47(4):70-76. |
| |
| Authors: | WANG Wen-hua CAO Huai-xin LI Wei |
| |
| Institution: | (College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,Shaanxi,China) |
| |
| Abstract: | The concept of a(A,B)-quantum measurement is introduced and discussed.An equivalent relation between(A,B)-quantum measurement and g-frame with lower and upper bounds A and B is established.Some properties of direct sums and multiplications of(A,B)-quantum measurements are obtained.The measure frame operator and the dual quantum measurement of a(A,B)-quantum measurement are introduced and its canonical dual is constructed.Finally,a reconstruction formula of a quantum states is obtained in light of a(A,B)-quantum measurement. |
| |
| Keywords: | (A B)-quantum measurement g-frame measure frame operator reconstruction formula |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
