On Extension of Joint Distribution Functions on Quantum Logics

被引：0

作者：

Nanasiova, Ol'ga ^{[1
]}

Pykacz, Jaroslaw ^{[2
]}

Valaskova, L'ubica ^{[3
]}

Cipkova, Karla ^{[1
]}

机构：

[1] Slovak Univ Technol Bratislava, Fac Elect Engn & Informat Technol, Inst Comp Sci & Math, Bratislava, Slovakia

[2] Univ Gdansk, Inst Math, Gdansk, Poland

[3] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, Bratislava, Slovakia

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2020年 / 59卷 / 01期

关键词：

Quantum logic; Quantum probability; Joint distribution; S-map; State; COMPATIBILITY; OBSERVABLES; CONJUNCTION; EXISTENCE; MAP;

D O I：

10.1007/s10773-019-04322-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The problem of extension of joint distribution functions (s-maps) on quantum logics is studied. Necessary and sufficient conditions for the extension of bivariate s-maps to trivariate s-maps are given. However, it is shown that these conditions are not sufficient for extending trivariate s-maps to 4-variate s-maps.

引用

页码：274 / 291

页数：18

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