Interference of Quantum States and Superposition Principle in Probability Representation of Quantum Mechanics

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Open Systems & Information Dynamics Pub Date : 2019-10-24 DOI:10.1142/s1230161219500161

M. Man'ko, V. Man'ko

引用次数: 1

Abstract

The superposition of pure quantum states explicitly expressed in terms of a nonlinear addition rule of state density operators is reviewed. The probability representation of density matrices of qudit states is used to formulate the interference of the states as a combination of the probability distributions describing pure states. The formalism of quantizer–dequantizer operators is developed. Examples of spin-1/2 states and f-oscillator systems are considered.

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量子态干涉与量子力学概率表示中的叠加原理

讨论了用态密度算子的非线性加法规则显式表示的纯量子态的叠加。用量子态密度矩阵的概率表示将量子态的干涉表示为描述纯态的概率分布的组合。给出了量化-去量化算子的形式。考虑了自旋1/2态和f振系统的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Open Systems & Information Dynamics 工程技术-计算机：信息系统

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.