Hyper-hybrid entanglement, indistinguishability, and two-particle entanglement swapping

• URL: http://arxiv.org/abs/2101.10089v1
• Date: Mon, 25 Jan 2021 13:55:13 GMT
• Title: Hyper-hybrid entanglement, indistinguishability, and two-particle entanglement swapping
• Authors: Soumya Das, Goutam Paul and Anindya Banerji
• Abstract summary: Hyper-hybrid entanglement for two indistinguishable bosons has been recently proposed by Li textitet al.. In the current paper, we show that this entanglement exists for two indistinguishable fermions also. We establish two em no-go results: no hyper-hybrid entanglement for two em distinguishable particles, and no unit quantum teleportation using em indistinguishable particles.
• Score: 2.9542356825059715
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Hyper-hybrid entanglement for two indistinguishable bosons has been recently proposed by Li \textit{et al.} [Y. Li, M. Gessner, W. Li, and A. Smerzi, \href{https://doi.org/10.1103/PhysRevLett.120.050404}{Phys. Rev. Lett. 120, 050404 (2018)}]. In the current paper, we show that this entanglement exists for two indistinguishable fermions also. Next, we establish two {\em no-go} results: no hyper-hybrid entanglement for two {\em distinguishable} particles, and no unit fidelity quantum teleportation using {\em indistinguishable} particles. If either of these is possible, then the {\em no-signaling principle} would be violated. While several earlier works have attempted extending many results on distinguishable particles to indistinguishable ones, and vice versa, the above two no-go results establish a nontrivial 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 is necessary for existing protocols.

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