High-dimensional quantum state transfer in a noisy network environment

We propose and analyze an efficient high-dimensional quantum state transfer protocol in an XX coupling spin network with a hypercube structure or chain structure. Under free spin wave approximation, unitary evolution results in a perfect high-dimensional quantum swap operation requiring neither external manipulation nor weak coupling. Evolution time is independent of either distance between registers or dimensions of sent states, which can improve the computational efficiency. In the low temperature regime and thermodynamic limit, the decoherence caused by a noisy environment is studied with a model of an antiferromagnetic spin bath coupled to quantum channels via an Ising-type interaction. It is found that while the decoherence reduces the fidelity of state transfer, increasing intra-channel coupling can strongly suppress such an effect. These observations demonstrate the robustness of the proposed scheme.     

正交异性双材料半无限界面裂纹尖端场分析

通过构造含两个实奇异指数的应力函数,利用复合材料断裂复变方法对正交异性双材料界面裂纹进行了研究。在特征方程组的判别式都小于零的情况下,通过求解一类广义重调和方程组边值问题,在双材料工程参数满足适当的条件下,推出了正交异性双材料半无限界面裂纹尖端的应力场和位移场。研究表明:其结果没有振荡奇异性;当上下半平面材料参数相同时,可获得正交异性单材料的应力场。并通过有限元算例进行比较,验证了理论结果的正确性。     

Two-step quantum secure direct communication scheme with frequency coding

Quantum secure direct communication(QSDC) is an important branch of quantum cryptography. It can transmit secret information directly without establishing a key first, unlike quantum key distribution which requires this precursory event. Here we propose a QSDC scheme by applying the frequency coding technique to the two-step QSDC protocol, which enables the two-step QSDC protocol to work in a noisy environment. We have numerically simulated the performance of the protocol in a noisy channel, and the results show that the scheme is indeed robust against channel noise and loss. We also give an estimate of the channel noise upper bound.     

正交异性双材料的Ⅱ型界面裂纹尖端场

通过引入含16个待定实系数和两个实应力奇异指数的应力函数,再借助边界条件,得到了两个八元非齐次线性方程组.求解该方程组,在双材料工程参数满足适当条件下,确定了两个实应力奇异指数.根据极限唯一性定理,求出了全部系数,得到了应力函数的表示式.代入相应的力学公式,推出了当特征方程组两个判别式都小于0时,每种材料的裂纹尖端应力强度因子、应力场和位移场的理论解.裂纹尖端附近的应力和位移有混合型断裂特征,但没有振荡奇异性和裂纹面相互嵌入现象作为特例,当两种正交异性材料相同时,可以推出正交异性单材料Ⅱ型断裂的应力奇异指数、应力强度因子公式、应力场、位移场表示式.     

黏弹性流体充模过程中凝固现象的数值模拟

建立了黏弹性流体在充模过程中带有相变的气一液两相模型,该模型分别由气、液两相的质量守恒方程、动量守恒方程、能量守恒方程描述,并通过引入Heaviside函数将气一液两相的方程组统一为一个方程组;建立了一个对型腔内熔体和气体都适用的修正的焓方法来描述充模过程中的相变,采用基于同位网格的有限体积方法对模型进行求解,水平集方法捕捉充模过程中的界面演化,模拟出了黏弹性流体在充模过程中的凝固现象,得出了充模过程中型腔内的温度、压力、第一法向应力差等随时间的变化;并讨论了型腔壁面温度、熔体温度、注射速度对充模过程中凝固现象的影响,研究结果表明:型腔壁面温度越高,凝固层越薄;熔体温度越高,凝固层越薄;注射速度越高,凝固层越薄,故提高型腔壁面温度、熔体温度、注射速度可以减少或消除型腔壁面附近的凝固层。     

Crack-tip field on mode Ⅱ interface crack of double dissimilar orthotropic composite materials

Two systems of non-homogeneous linear equations with 8 unknowns are obtained.This is done by introducing two stress functions containing 16 undetermined coefficients and two real stress singularity exponents with the help of boundary conditions.By solving the above systems of non-homogeneous linear equations,the two real stress singularity exponents can be determined when the double material parameters meet certain conditions.The expression of the stress function and all coefficients are obtained based on the uniqueness theorem of limit.By substituting these parameters into the corresponding mechanics equations,theoretical solutions to the stress intensity factor,the stress field and the displacement field near the crack tip of each material can be obtained when both discriminants of the characteristic equations are less than zero.Stress and displacement near the crack tip show mixed crack characteristics without stress oscillation and crack surface overlapping.As an example,when the two orthotropic materials are the same,the stress singularity exponent,the stress intensity factor,and expressions for the stress and the displacement fields of the orthotropic single materials can be derived.     

Interface crack problems for mode II of double dissimilar orthotropic composite materials

The fracture problems near the similar orthotropic composite materials are interface crack tip for mode Ⅱ of double disstudied. The mechanical models of interface crack for mode Ⅱ are given. By translating the governing equations into the generalized hi-harmonic equations, the stress functions containing two stress singularity exponents are derived with the help of a complex function method. Based on the boundary conditions, a system of non-homogeneous linear equations is found. Two real stress singularity exponents are determined be solving this system under appropriate conditions about bimaterial engineering parameters. According to the uniqueness theorem of limit, both the formulae of stress intensity factors and theoretical solutions of stress field near the interface crack tip are derived. When the two orthotropic materials are the same, the stress singularity exponents, stress intensity factors and stresses for mode II crack of the orthotropic single material are obtained.     

Lensless ghost imaging through the strongly scattering medium

Lensless ghost imaging has attracted much interest in recent years due to its profound physics and potential applications. In this paper we report studies of the robust properties of the lensless ghost imaging system with a pseudo-thermal light source in a strongly scattering medium. The effects of the positions of the strong medium on the ghost imaging are investigated. In the lensless ghost imaging system, a pseudo-thermal light is split into two correlated beams by a beam splitter. One beam goes to a charge-coupled detector camera, labeled as CCD2. The other beam goes to an object and then is collected in another charge-coupled detector camera, labeled as CCD1, which serves as a bucket detector. When the strong medium, a pane of ground glass disk, is placed between the object and CCD1, the bucket detector, the quality of ghost imaging is barely affected and a good image could still be obtained. The quality of the ghost imaging can also be maintained, even when the ground glass is rotating, which is the strongest scattering medium so far. However, when the strongly scattering medium is present in the optical path from the light source to CCD2 or the object, the lensless ghost imaging system hardly retrieves the image of the object. A theoretical analysis in terms of the second-order correlation function is also provided.     

神奇的量子成像

 光学成像系统在日常生活中应用广泛。我们使用照相机记录图像,使用投影仪展示幻灯片,用眼睛看到世界,这些都离不开成像系统。     

正交异性双材料反平面界面端应力场分析

研究了正交异性双材料反平面平板搭接界面端问题,采用复合材料断裂复变方法,构造了特殊应力函数,通过求解一类广义重调和方程组的边值问题,推导出平板搭接界面端的应力场、位移场及应力强度因子的表达式,结果显示:反平面搭接界面端只有一个奇异性,上下材料常数比Γ＞0时,应力场具有幂次奇异性,且随着Γ增长,奇异指数趋于-1/2,并利用有限元算例分析验证了理论结果的正确性.