Hyper-hybrid entanglement for two indistinguishable bosons has been recently proposed by Li {et al.} [Phy. Rev. Lett, 120, 050404 (2018)]. In the current work, we show that this entanglement exists for two indistinguishable fermions also. Next, we establish two novel {} results: no hyper-hybrid entanglement for two {} particles, and no unit fidelity quantum teleportation using {} particles. If either of these is possible, then the {} would be violated. While several earlier works have attempted extending many results on distinguishable particles to indistinguishable ones, and vice versa, the above two {} results establish, for the first time, a non-trivial separation between the two domains. Finally, we propose an efficient entanglement swapping using only two indistinguishable particles, whereas a minimum number of either three distinguishable or four indistinguishable particles are necessary for existing protocols.

中文翻译：

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超混合纠缠，可区分性和不可区分性以及两粒子纠缠交换

李{et al。}最近提出了两个不可区分的玻色子的超杂交纠缠。Rev. Lett，120，050404（2018）]。在当前的工作中，我们证明了两个不可区分的费米子也存在这种纠缠。接下来，我们建立两个新颖的{}结果：两个{}粒子没有超混合纠缠，并且没有使用{}粒子的单位保真度量子隐形传态。如果这两种情况均可行，则将违反{}。尽管一些早期的工作试图将可区分粒子的许多结果扩展到不可区分的粒子，反之亦然，但上述两个{}结果首次在两个域之间建立了非平凡的分离。最后，我们提出仅使用两个无法区分的粒子进行有效的纠缠交换，