摘要
本文首先给出了双模量子连续纠缠态及它的本征方程。利用有序算符内的积分技术可以证明该态满足正交归一性,因此,它可以构成纠缠态表象。随后文中把它推广到多模量子连续纠缠态,同样根据IWOP技术得到它们的正交归一性。
并且在文中分别讨论了利用光分束器、起偏器以及参数下转换过程来构成这些纠缠态和实现过程。此外,还研究了在量子纠缠态作为量子通讯和量子计算的载体,已被广泛地应用于量子压缩理论、量子光学相算符、及量子隐形传态等领域。然后在此基础上,我们构建了非线性多模量子连续纠缠态,由非线性的IWOP技术证实这些态是完备的,最后讨论了其实现过程及应用。
First, we introduce EPR entangled state in Fock space. The completeness relation and non-orthonormal property of such states are proven. Second, it is spreaded to multipartite entanglement, we have shown the completeness relation and non-orthonormal property of such multipartite entangled states.
The scheme to generate these state are presented by combining a symmetrical beamsplitter, a parametric down-conversion and a polarizer. we consider an application of the entangled state in quantum squeezing theory、optical phase operator theory and quantum teleportation. Lastly, kinds of nonlinear multipartite entanglement are shown, and its applications are also discussed.
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