一类基于量子程序理论的序列效应代数

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一类基于量子程序理论的序列效应代数李午栋¹, 张颖², 贺衎³1 太原理工大学数学学院太原 030024;
2 太原理工大学信息与计算机学院太原 030024;
3 太原理工大学数学学院 & 信息与计算机学院 & 软件学院太原 030024 A Sub-sequential Effect Algebra from the Quantum Programming Theory Wu Dong LI¹, Ying ZHANG², Kan HE³1 College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, P. R. China;
2 College of Information and Computer, Taiyuan University of Technology, Taiyuan 030024, P. R. China;
3 College of Mathematics & College of Information and Computer & College of Software, Taiyuan University of Technology, Taiyuan 030024, P. R. China

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摘要空间上的算子理论是量子力学的基本数学框架之一.Hilbert空间效应代数是指小于等于单位算子的正算子集合.我们引入了Hilbert空间效应代数的一类子序列效应代数，并讨论了其上序列积的基本运算性质.我们发现：由于代数结构的不同，这类新的序列效应代数与现有效应代数上的运算性质有很大差异.

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收稿日期: 2019-11-25

MR (2010):

O177.92

基金资助:国家自然科学基金资助项目（11771011）；山西省自然科学基金资助项目（201701D221011）

通讯作者:贺衎E-mail: kanhequantum@163.com

作者简介: 李午栋,E-mail:1822787426@qq.com;张颖,E-mail:zhangying-1226@163.com

引用本文:

李午栋, 张颖, 贺衎. 一类基于量子程序理论的序列效应代数[J]. 数学学报, 2020, 63(6): 647-654. Wu Dong LI, Ying ZHANG, Kan HE. A Sub-sequential Effect Algebra from the Quantum Programming Theory. Acta Mathematica Sinica, Chinese Series, 2020, 63(6): 647-654.

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