https://doi.org/10.1140/epjp/s13360-024-05702-1
Regular Article
Deterministic bidirectional hierarchical teleportation of an arbitrary high-dimensional multi-particle state with a partially entangled quantum channel
1
College of Mathematics and Physics, Guangxi Minzu University, 530006, Nanning, Guangxi, People’s Republic of China
2
Key Lab of Quantum Information and Quantum Optics, Organization, 530006, Nanning, Guangxi, People’s Republic of China
Received:
16
May
2024
Accepted:
28
September
2024
Published online:
14
October
2024
We present a scheme for deterministic bidirectional hierarchical teleportation of the unknown high-dimensional multi-particle state with partially entangled states. The arbitrary high-dimensional multi-particle can be bidirectional teleported hierarchical under the controller’s control. Charlie can teleport an unknown high-dimensional multi-particle to Alice and at the same time, Alice can teleport an unknown high-dimensional multiparticle state to Charlie under the controller’s control. The receivers are hierarchized according to their abilities to reconstruct the unknown state. The receiver in the upper grade needs only the cooperation of one the other agent, and the agents in the lower grade need the cooperation of all the other agents to reconstruct the unknown state. The protocol has the advantage of more convenient in application since the success probability for bidirectional hierarchical teleportation can achieve 1 with partially entangled quantum states.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
