共查询到18条相似文献,搜索用时 812 毫秒
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光束分离器是一个具有广泛应用的线性光学器件,它在非经典量子态特别是纠缠态的制备中具有重要作用.基于单个光束分离器的表象表示,本文进一步考察多个级联光束分离器的纠缠特性,特别是结合有序算符内的积分技术推导了级联光束分离器的正规乘积、紧指数表示及级联算符的表象表示.作为应用,本文利用两个级联光束分离器获得了量子力学表象及其Schmidt分解,并结合量子条件测量制备了qubit态的叠加态.本文的研究方法已被直接推广至多个光束分离器级联情况,相关研究内容为多模纠缠态、多模qubit态的制备提供了一种有效的途径,且为由光束分离器组成的线性器件系统总作用的算符正规乘积及其紧指数表示提供了一般方法. 相似文献
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运用有序算符内积分(IWOP)技术,构建了(x)2—p1和.(x)1—P2的共同本征态|η〉,并分析了该新纠缠表象的Schmidt分解形式.另外,我们还得到纠缠态|η>的共轭态|ξ〉,同时计算了它们的内积.最后我们给出了新双模压缩算符S2=μ∫d2η/π|μη〉〈η|的显式,并分析了其压缩特性. 相似文献
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Kai-Min Zheng Shi-You Liu Hao-Liang Zhang Cun-Jin Liu Li-Yun Hu 《Frontiers of Physics》2014,9(4):451-459
Using the technique of integration within an ordered product of operators we construct a generalized two-mode entangled state, which can be generated by an asymmetrical beam splitter (BS). Some important properties of this state, such as orthogonality and Schmidt decomposition, are also dis- cussed by deriving the expression of BS operator in coordinate representation. As its applications, to conjugate state, obtain operator identities, generate new squeezing operators (squeezed state) are also presented. It is shown that the fidelity of quantum teleportation can be enhanced under certain case by using the asymmetrical new squeezed state as entangled resource. 相似文献
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Jian-ming Du Jian-guo Ma Gang Ren 《International Journal of Theoretical Physics》2012,51(6):1911-1916
Using the identity of operator decomposition we obtain a normal ordered form of the time-evolution operator for cross coupling
quantum harmonic oscillator Hamiltonian system in two dimensions, which is just a special two-mode Fresnel operator. The Feynman
propagator for the Hamiltonian system is found by a direct calculation by means of the method deriving the matrix element
of two-mode Fresnel operator in the entangled state representation. The technique of integration within an ordered product
(IWOP) of operators is employed to derive the matrix elements of the operator in the coherent state and the entangled state
representations. 相似文献
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A beam splitter operator is a very important linear device in the field of quantum optics and quantum information. It can not only be used to prepare complete representations of quantum mechanics, entangled state representation, but it can also be used to simulate the dissipative environment of quantum systems. In this paper, by combining the transform relation of the beam splitter operator and the technique of integration within the product of the operator, we present the coherent state representation of the operator and the corresponding normal ordering form. Based on this, we consider the applications of the coherent state representation of the beam splitter operator, such as deriving some operator identities and entangled state representation preparation with continuous-discrete variables. Furthermore, we extend our investigation to two single and two-mode cascaded beam splitter operators, giving the corresponding coherent state representation and its normal ordering form. In addition, the application of a beam splitter to prepare entangled states in quantum teleportation is further investigated, and the fidelity is discussed. The above results provide good theoretical value in the fields of quantum optics and quantum information. 相似文献
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New operator identities with regard to the two-variable Hermite polynomial by virtue of entangled state representation
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By virtue of the entangled state representation we concisely derive some new operator identities with regard to the two-variable Hermite polynomial (TVHP). By them and the technique of integration within an ordered product (IWOP) of operators we further derive new generating function formulas of the TVHP. They are useful in quantum optical theoretical calculations. It is seen from this work that by combining the IWOP technique and quantum mechanical representations one can derive some new integration formulas even without really performing the integration. 相似文献
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FAN Hong-Yi LIANG Xian-Ting 《理论物理通讯》2005,44(11)
A quantum teleportation scheme to teleport a kind of tripartite entangled states of continuous variables by using a quantum channel composed of three bipartite entangled states is proposed. The joint Bell measurement is feasible because the bipartite entangled states are complete and the squeezed state has a natural representation in the entangled state basis. The calculation is greatly simplified by using the Schmidt decomposition of the entangled states. 相似文献
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FAN Hong-Yi LIANG Xian-Ting 《理论物理通讯》2005,44(5):833-836
A quantum teleportation scheme to teleport a kind of tripartite entangled states of continuous variables by using a quantum channel composed of three bipartite entangled states is proposed. The joint Bell measurement is feasible because the bipartite entangled states are complete and the squeezed state has a natural representation in the entangled state basis. The calculation is greatly simplified by using the Schmidt decomposition of the entangled states. 相似文献
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XU Xing-Lei LI Hong-Qi 《理论物理通讯》2008,49(6):1453-1456
By using the technique of integration within an ordered product (IWOP) of operator we derive Wigner function of density operator for negative binomial distribution of radiation field in the mixed state case, then we derive the Wigner function of squeezed number state, which yields negative binomial distribution by virtue of the entangled state representation and the entangled Wigner operator. 相似文献