共查询到19条相似文献,搜索用时 109 毫秒
1.
2.
光束分离器是量子光学中的基本线性器件之一, 它在量子纠缠态的制备与测量上起着重要作用. 基于光束分离器(BS)对算符的矩阵变换关系, 本文导出了BS算符在若干表象中的自然表示. 利用这个自然表示(而非SU(2)李代数关系)及有序算符内的积分技术, 可直接导出BS算符的正规乘积、紧指数表示及多种分解形式. 此外, 可直接导出一种纠缠态表象及其Schmidt分解. 这对于讨论连续变量量子隐形传输是十分方便的.
关键词:
光束分离器算符
纠缠态表象
有序算符内的积分技术
Schmidt分解 相似文献
3.
4.
5.
介绍利用表象变换理论及有序算符内的积分技术(IWOP)构造的高斯积分理论,提出表象理论的新应用,即通过表象变换提出如何从狄拉克表象引入量子层析概念的方法和捷径. 相似文献
6.
7.
8.
利用相干态表象下的Wigner算符和有序算符内的积分(IWOP)技术,首先得到了热相干态(量子纯态)的Wigner函数;同时借助相干态表象和算符的正规乘积形式给出了相应混合态的Wigner函数.结果表明,热相干态与相应混合态的Wigner甬数是相一致的,支持了热场动力学(TFD)理论.且采用相干态表象下的Wigner算符、IWOP技术和算符的正规乘积形式来研究量子态的Wigner函数非常简捷方便.研究结果加深了人们对量子统计中相空间技术和热场动力学(TFD)理论的认识,且对于其它量子纯态与相应混合态相空间分布函数一致性的研究具有很好的理论指导意义. 相似文献
9.
10.
强调双模厄米多项式在量子光学理论中的地位,认为它是研究连续变量纠缠态和压缩态的必要函数,具有明确的物理意义。利用双模厄米多项式,结合有序算符内的积分技术,给出了若干新的算符恒等式和互逆的积分变换公式,证明了压缩双模粒子数态恰好是双变量厄米多项式激发压缩真空态。 相似文献
11.
12.
13.
基于高速公路裂纹局部线性特征内容的脊波变换域算法研究 总被引:4,自引:3,他引:1
利用频域中傅里叶变换投影定理,提出一种新的离散脊波实现算法,应用于高速公路局部线性裂纹的检测取得较好效果。详细阐述了离散脊波的实现步骤以及对标准图像进行脊波变换的模拟结果,并提出拉东(Radon)变换重建原图像的基本条件。上述定理应用于复杂背景下的路面检测,结合直方图均衡化算法消除背景噪声;选用基于样本估计的阈值方法对脊波分解的各层系数进行处理去除随机噪声。选用不同的重构系数进行计算,得到脊波变换后重构图像的信噪比优于二维小波变换(低频大于20dB)以及二维小波变换加魏纳滤波变换(平均大于3dB)。通过图像的二值化处理提取局部线性裂纹,其分辨力极限达到2mm精度。 相似文献
14.
By virtue of the new technique of performing integration over Dirac’s ket–bra operators, we explore quantum optical version of classical optical transformations such as optical Fresnel transform, Hankel transform, fractional Fourier transform, Wigner transform, wavelet transform and Fresnel–Hadmard combinatorial transform etc. In this way one may gain benefit for developing classical optics theory from the research in quantum optics, or vice-versa. We cannot only find some new quantum mechanical unitary operators which correspond to the known optical transformations, deriving a new theorem for calculating quantum tomogram of density operators, but also can reveal some new classical optical transformations. For examples, we find the generalized Fresnel operator (GFO) to correspond to the generalized Fresnel transform (GFT) in classical optics. We derive GFO’s normal product form and its canonical coherent state representation and find that GFO is the loyal representation of symplectic group multiplication rule. We show that GFT is just the transformation matrix element of GFO in the coordinate representation such that two successive GFTs is still a GFT. The ABCD rule of the Gaussian beam propagation is directly demonstrated in the context of quantum optics. Especially, the introduction of quantum mechanical entangled state representations opens up a new area in finding new classical optical transformations. The complex wavelet transform and the condition of mother wavelet are studied in the context of quantum optics too. Throughout our discussions, the coherent state, the entangled state representation of the two-mode squeezing operators and the technique of integration within an ordered product (IWOP) of operators are fully used. All these have confirmed Dirac’s assertion: “...for a quantum dynamic system that has a classical analogue, unitary transformation in the quantum theory is the analogue of contact transformation in the classical theory”. 相似文献
15.
We introduce the bipartite entangled states to present a quantum mechanical version of complex wavelet transform. Using the technique of integral within an ordered product of operators we show that the complex wavelet transform can be studied in terms of various quantum state vectors in two-mode Fock space. In this way the creterion for mother wavelet can be examined quantum-mechanically and therefore more deeply. 相似文献
16.
Inversion formula and Parseval theorem for complex continuous wavelet transforms studied by entangled state representation
下载免费PDF全文
![点击此处可从《中国物理 B》网站下载免费的PDF全文](/ch/ext_images/free.gif)
In a preceding letter (2007 Opt.Lett.32 554) we propose complex continuous wavelet transforms and found Laguerre-Gaussian mother wavelets family.In this work we present the inversion formula and Parseval theorem for complex continuous wavelet transform by virtue of the entangled state representation,which makes the complex continuous wavelet transform theory complete.A new orthogonal property of mother wavelet in parameter space is revealed. 相似文献
17.
References: 《理论物理通讯》2007,47(1):31-34
We present the continuous state vector of the total coordinate of multi-partlcle and the state vector of their total momentum, respectively, which possess completeness relation in multi-mode Fock space by virtue of the integration within an order product (IWOP) technique. We also calculate the transition from classical transformation of variables in the states to quantum unitary operator, deduce a new multi-mode squeezing operator, and discuss its squeezing effect. In progress, it indicates that the IWOP technique provides a convenient way to construct new representation in quantum mechanics. 相似文献
18.
19.
The preparation of multipartite entangled states is the prerequisite for exploring quantum information networks and quantum computation.In this paper,we review the experimental progress in the preparation of cluster states and multi-color entangled states with continuous variables.The preparation of lager scale multipartite entangled state provide valuable quantum resources to implement more complex quantum informational tasks. 相似文献