https://doi.org/10.1140/epjp/s13360-026-07710-9
Regular Article
Cross-dimensional controlled bidirectional teleportation via high-dimensional entangled channels
1
Department of Mathematics, Sichuan University Jinjiang College, 620860, Meishan, Sichuan, China
2
College of Mathematics and Statistics, Yili Normal University, 835000, Yining, China
3
College of Mathematics and Statistics, Kashi University, 844000, Kashi, China
a This email address is being protected from spambots. You need JavaScript enabled to view it.
, This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
27
October
2025
Accepted:
18
April
2026
Published online:
4
May
2026
Abstract
We propose a novel protocol for controlled bidirectional teleportation of multi-qubit quantum states using high-dimensional entangled channels. The protocol enables simultaneous exchange of arbitrary unknown single-particle states between two users under supervisory control, with both deterministic and probabilistic implementations. By constructing complete orthogonal non-symmetric bases in 
-dimensional Hilbert space and designing maximally entangled five-particle states, we establish a comprehensive framework for quantum state transmission across different dimensional spaces. Our protocol demonstrates 100% success probability for maximally entangled channels and provides analytical solutions for non-maximally entangled cases. The proposed scheme offers enhanced security and flexibility for future quantum communication networks.
Copyright comment 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2026
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.
