量子关联动力学及相关问题研究

发布时间：2018-01-29 08:27

本文关键词： 量子动力学开放系统量子生物量子关联弱测量乘积态可分态　出处：《太原理工大学》2016年博士论文　论文类型：学位论文

【摘要】：动力学是力学的分支学科,研究作用于物体的力与物体运动的关系.在微观世界中原子和亚原子粒子的动力学研究属于量子力学的研究范畴.量子力学的发现引发一系列划时代的科学发现与技术发明,应用于原子物理学、固体物理学、信息学,对人类社会的进步做出重要贡献.量子关联是当前量子力学研究的热点问题之一.由于它有重大的应用价值和科学意义,已引起越来越多的物理学家、计算机学家、数学家、力学家等领域专家学者的高度关注.本论文主要研究有限维量子系统上量子关联动力学及相关问题.主要结果如下:1.研究一个态是乘积态的充要条件.2(?)2系统上的关于乘积态、态有零超量子失协、态有相等的量子失协和超量子失协、态有零互信息、态有相等的量子失协和互信息、态有相等的超量子失协和互信息的等价命题已获得解决.我们则对任意的高维系统进行统一解决.同时,统一给出高维次几何失协与几何失协及投影测量的关系.2.基于弱测量提出强单边非局域量子失协及弱单边非局域信息亏损的概念,证明强单边非局域量子失协总是大于等于单边非局域量子失协.同时,对2(?)2系统Werner态,给出其单边非局域信息亏损的解析表达式以及量子关联间序的关系.3.探讨在非零温度欧姆类谱密度退相位噪声下3(?)2系统的量子失协,几何量子失协和基于1-范数的几何量子失协的动力演化.对次欧姆及欧姆环境下量子关联动力学显示出相似的演化行为.合适的选择系统初态及环境的温度,量子关联呈现出一些有趣的结果:例如,冻结、双突变、"复活"等现象.对这些量子关联度量的异同点给出细节分析和一些有意义的结果.就量子信息中复合系统量子关联的实际应用,以上结果提供了重要信息.4.给出光合作用中光捕获组织light-harvesting complex Ⅱ(LH2-聚合物)及Fe-nna-Matthews-Olson(FMO)复合物的数学模型,并给出LH2-型聚合物的简单二可分判据的充要条件及一种量子关联的度量;同时,对FMO复合物给出相关结果的刻画.
[Abstract]:Dynamics is a branch of mechanics, study on the relationship between the effect on the force and motion of objects. The research category of dynamics of atoms in the microscopic world and subatomic particles belong to quantum mechanics. It is found that the quantum mechanics triggered a series of epoch-making discoveries in science and technology invention, used in atomic physics, solid physics, information learn to make an important contribution to the progress of human society. The quantum correlation is the current hot topic of quantum mechanics research. Because it has great application value and scientific significance, has attracted more and more physicists, computer scientists, mathematicians, scientists and other experts in the field of attention of scholars. This thesis mainly studies the finite dimensional quantum system quantum correlation dynamics and related problems. The main results are as follows: 1. a state is a necessary and sufficient condition for product states.2 (?) 2 system related to product states, State zero super quantum discord, states have equal quantumdiscord super quantum discord, states have zero mutual information, states have equal quantumdiscord mutual information, equivalent proposition of discord and mutual information states have the same super quantum has been solved. We are of arbitrary high dimensional system to solve the system. At the same time,.2. gives a unified high dimensional geometric discord and geometric discord and projection measurement of weak measurement presented strong unilateral nonlocal quantum loss and weak concept of CO unilateral nonlocal information loss based on the proof of the strong unilateral nonlocal quantum discord is always greater than or equal to the unilateral non local quantum discord. At the same time, the (2? 2) Werner state, given its unilateral nonlocal information loss and analytic expressions of quantum correlation of sequence.3. on non zero ohm temperature class phase noise spectral density from 3 (? 2) quantum discord system, geometric quantumdiscord based on 1- Dynamic geometric quantum discord norm evolution. The ohm and Ohm environment of quantum correlation dynamics showed similar evolution behavior and environment. The initial selection system of suitable temperature, the quantum correlation showed some interesting results: for example, freezing, double mutant, "Resurrection" phenomenon. The association of these quantum metric analysis of similarities and differences in details and gives some meaningful results. The actual application of composite system of quantum correlations in quantum information, the above results provide the organization light-harvesting complex II.4. light capture important information given in photosynthesis (LH2- polymer) and Fe-nna-Matthews-Olson (FMO) complex mathematical model, and can be divided into two simple measure criterion the gives a sufficient and necessary condition of LH2- type polymer and a quantum correlation; at the same time, characterization of the FMO complex results are given.

【学位授予单位】：太原理工大学
【学位级别】：博士
【学位授予年份】：2016
【分类号】：O413.1

【相似文献】