We theoretically investigate the nonclassicality and entanglement properties of non-Gaussian entangled states generated by using a number-conserving generalized superposition of products (GSP), i.e., \(\left( saa^{\dag }+ta^{\dag }a\right) ^{m}\) with \(s^{2}+t^{2}=1\) on each mode of an input two-mode squeezed coherent (TMSC) state. The simulation results show that, compared to the typical two-mode squeezed vacuum state, the usage of small coherent amplitude is conductive to offering an opportunity for not only effectively enhancing the nonclassicality in terms of antibunching effect and Wigner function, but also significantly improving the entanglement quantified by Einstein–Podolsky–Rosen correlation and Hillery–Zubairy correlation. For the increase of the number of operations, the region of both the existing antibunching effect and the improved entanglement decreases, but this region of the improved teleportation fidelity and the negative distribution of the Wigner function is on the increase. Under an ideal Braunstein and Kimble teleportation protocol, when the generated states are treated as an entangled resource, the optimal teleportation fidelity can be achieved by taking a suitable squeezing parameter and the number of operations for the optimal choices of s. In order to highlight the advantages of the use of the GSP-embedded TMSC, under the same parameters, we also make a comparison about the performances of both the entanglement and the fidelity for different non-Gaussian entangled states, involving the photon-subtracted-then-added TMSC states and the photon-added-then-subtracted TMSC states. It is found that in the regime of small squeezing values, both of the entanglement and the fidelity for the generated states can perform better than the other cases.

中文翻译：

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非高斯纠缠态的非经典性和纠缠性质

我们从理论上研究了使用乘积守恒的广义积（GSP）生成的非高斯纠缠态的非经典性质和纠缠性质，即\（\ left（saa ^ {\ dag} + ta ^ {\ dag} a \ right）^ {m} \）与\（s ^ {2} + t ^ {2} = 1 \）在输入双模压缩相干（TMSC）状态的每个模上。仿真结果表明，与典型的双模压缩真空状态相比，使用较小的相干振幅有助于提供一个机会，不仅可以有效地增强反经典效应和维格纳函数的非经典性，而且还可以显着改善非经典性。纠缠由爱因斯坦-波多尔斯基-罗森相关性和希勒里-祖比里相关性量化。随着操作次数的增加，既存在的反聚束作用和改善的纠缠区域都减小了，但是改善了传送隐形保真度和维格纳函数的负分布的区域却在增加。在理想的布劳恩施泰因和金布尔传送协议下，s。为了突出使用嵌入式GSP的TMSC的优势，在相同参数下，我们还对不同的非高斯纠缠态的纠缠和保真度性能进行了比较，其中涉及到光子减去了然后加上TMSC状态，再加上光子减去之后的TMSC状态。可以发现，在较小的压缩值范围内，生成状态的纠缠和保真度都比其他情况更好。