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Deterministic joint remote preparation of an equatorial hybrid state via high-dimensional Einstein–Podolsky–Rosen pairs: active versus passive receiver

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Abstract

Entanglement plays a vital and in many cases non-replaceable role in the quantum network communication. Here, we propose two new protocols to jointly and remotely prepare a special so-called bipartite equatorial state which is hybrid in the sense that it entangles two Hilbert spaces with arbitrary different dimensions D and N (i.e., a type of entanglement between a quDit and a quNit). The quantum channels required to do that are however not necessarily hybrid. In fact, we utilize four high-dimensional Einstein–Podolsky–Rosen pairs, two of which are quDit–quDit entanglements, while the other two are quNit–quNit ones. In the first protocol the receiver has to be involved actively in the process of remote state preparation, while in the second protocol the receiver is passive as he/she needs to participate only in the final step for reconstructing the target hybrid state. Each protocol meets a specific circumstance that may be encountered in practice and both can be performed with unit success probability. Moreover, the concerned equatorial hybrid entangled state can also be jointly prepared for two receivers at two separated locations by slightly modifying the initial particles’ distribution, thereby establishing between them an entangled channel ready for a later use.

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Acknowledgements

This work is supported by the Vietnam Foundation for Science and Technology Development (NAFOSTED) under a Project No. 103.01-2017.08.

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Authors and Affiliations

  1. Center for Theoretical Physics, Institute of Physics, Vietnam Academy of Science and Technology (VAST), 18 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam

    Cao Thi Bich & Nguyen Ba An

  2. Physics Department, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

    Le Thanh Dat & Nguyen Van Hop

  3. Thang Long Institute of Mathematics and Applied Sciences (TIMAS), Thang Long University (TLU), Nghiem Xuan Yem, Hoang Mai District, Hanoi, Vietnam

    Nguyen Ba An

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  1. Cao Thi Bich
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  2. Le Thanh Dat
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  3. Nguyen Van Hop
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  4. Nguyen Ba An
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Correspondence to Nguyen Ba An.

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Bich, C.T., Dat, L.T., Van Hop, N. et al. Deterministic joint remote preparation of an equatorial hybrid state via high-dimensional Einstein–Podolsky–Rosen pairs: active versus passive receiver. Quantum Inf Process 17, 75 (2018). https://doi.org/10.1007/s11128-018-1848-3

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