【作者】 刘杰；

【导师】 毕桥；

【作者基本信息】 武汉理工大学 ， 物理学， 2012， 硕士

【摘要】 我们所处的21世纪是信息化世纪,信息化革命是继工业革命、电子革命后的第三大科技革命,信息化发展的主题是速度、质量,我们会发现在生活中信息总是以各种网络的形式传播出去,而信息在网络中传输的速度和质量则是我们要考虑的主要问题,本文主要通过子动力学理论对网络中信息传输的问题进行讨论。首先我们从93版子动力学理论出发,探讨了子动力学的一大特征-产生和消灭算符的构造,我们把产生和消灭算符代入刘维尔方程,便得到刘维尔子动力学方程,接着我们通过一系列的变换技巧,得到产生和消灭算符的基本算子方程和矩阵元公式。然后,我们试图通过子动力学中的映射机制来描述大脑网络的自相似性,因为两者在结构上有很大的相似性,我们先介绍了一下大脑网络的发展现状,接着假设大脑网络的哈密顿量H,利用大脑网络的自相似特征,引入投影算符,求解出大脑网络的哈密顿量,更进一步我们建立了神经元组织的海森堡模型,计算得到三维海森堡模型哈密顿量的矩阵表现形式,我们对这个矩阵求解得到本征解和谱表达的一般表达式,我们利用迭代的求法,最后我们把这个结果代入量子系统的密度算符中得到密度分布变化的方程,从这个方程的解可以求出所有的热力学基本量。最后针对量子加密技术,我们先介绍了信息密匙的概念、经典的信息加密技术及其缺点、量子加密技术的优点、量子加密技术的理论基础及其产生和发展,然后我们通过计算分析证明,窃听者可以通过Rigged Hilbert空间窃听Hilbert空间的公共信道中的信息,而不会引起量子信息密匙的改变,这样会导致接收者无法确定是否泄密,我们针对性的提出一种Rigged Hilbert空间的量子反密码术。最后,我们对所探讨的问题进行了总结和展望,具体来说对大脑网络和量子密码术中的一些仍然存在问题做了阐述,比如说大脑网络中的我们所有的一切实验结果都是从大脑收到某种信息后,大脑哪些部分的神经元活动激烈,来判断大脑每一部分的功能,我们还没技术细化到每一部分的神经元细胞组织或者环境等等有什么不同,才导致每个部分功能不同,另外就是我们必须在活体实验的基础下,因为大脑离开了赖以生存的躯体就马上停止工作了,这些都是现代大脑研究的难度问题,另外用于大脑观测的仪器设备也是困难重重,但是毕竟利用复杂网络和相似网络的概念大脑网络的研究还是有所进展的。此外,量子密匙技术也不是绝对安全的,事实上,小的希尔伯特空间有可能被更大的希尔伯特空间所窃听,从而使得量子密码术的函数空间越来越复杂,使反量子密码术成为可能。也许将来,正反量子密码术两者的互动是促进这门科学前进的动力。更多还原

【Abstract】 The21st century which we live in is the century of information, the revolution of information is the third technological revolution which is following the industrial and electronic revolution. The theme of development of information technology is speed and quality, and we will find that information always spread out by the way of network, so the speed and quality of information which transmitted over the network is the main problem that we have to consider, we discuss the problem of the transmission of information over network by subdynamic theory.First of all, from the version of93subdynamic theory, we discuss the major feature of subdynamics that is the creation and distruction operators, we put the operators into the Liouville equation, then we will get the Liouville subdynamic kinetic equation. Through a series of transformation techniques, we also get the basic operator equation and the matrix element formula for the creation and distruction operators.we are trying to describe the self-similarity of the network of brain by mapping mechanism of subdynamic theory, since both have a great deal of similarity in the structure, we introduce projection operator of Hamiltonian of the brain network, by the subdynamic kinetic equation (SKE). we find out the value of the projection operator for the forms of expression of Hamilton, then we will take the projection operator to next layer, until the last layer. This allows us to present a sort of brain network with certain self-similar characteristics by the solution of Hamiltonian of network.Following the quantum cryptography, the eavesdropper can use the space of rigged Hilbert space to tapping information but not be detected in the Hilbert space; we are trying to make a quantum anti-cryptography for the rigged Hilbert space.In the last chapter, we explore this problem, and give a summary and outlook, specifically describing the existence of problems which at the brain networks and quantum cryptography. For example, we get the information of the network of brain by which parts of the brain neuronal activity in warm to determine the function of each part of the brain, we have no technical to refinement the neurons of each part of the organization or environment, etc.:the other thing is that we have to experiment by the basis of body live, because if the brain has left the survival of the body will immediately stop work, these are difficult problem in the modern brain research. The other problem is equipment which used to observe brain. The problem of the quantum key technology is obvious, the small Hilbert space can be wiretapped by a larger Hilbert space, which may make more and more complex function space for the quantum cryptography, and enable anti-quantum cryptography to be possible, Perhaps in the future, the interaction of both positive and negative quantum cryptography is together to promote the science forward.更多还原