| 一类基于量子程序理论的序列效应代数 |
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| 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,1936,63(6):647-654. |
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| 作者姓名： | 李午栋 张颖 贺衎 |
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| 作者单位： | 1.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 |
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| 基金项目： | 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） |
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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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A Sub-sequential Effect Algebra from the Quantum Programming Theory |
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| Wu Dong LI,Ying ZHANG,Kan HE.A Sub-sequential Effect Algebra from the Quantum Programming Theory[J].Acta Mathematica Sinica,1936,63(6):647-654. |
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| Authors: | Wu Dong LI Ying ZHANG Kan HE |
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| Institution: | 1.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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| Abstract: | The theory of operators on Hilbert spaces is one of fundamental frameworks of quantum mechanics. Hilbert space effect algebra, which is the convex set of positive operators between 0 and the identity, is one of important aspects in quantum mechanics. In the paper, we introduce a kind of sub-sequential effect algebra and explore some algebraic properties of the sequential product on it. We show that these properties on the sub-sequential effect algebra is different from those of existing ones. |
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| Keywords: | sequential effect algebra operators on Hilbert spaces quantum programming |
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