https://doi.org/10.1140/epjp/s13360-026-07536-5
Regular Article
Quantum teleportation of an f-dimensional multi-particle cat-like state via a d-dimensional entangled state
1
Department of Mathematics, Sichuan University Jinjiang College, 620860, Meishan, Sichuan, China
2
School of Mathematics and Statistics, Kashi University, 844000, Yining, Xinjiang, China
3
School of Mathematics and Information Science, Neijiang Normal University, 641100, Neijiang, Sichuan, China
a
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Received:
4
July
2025
Accepted:
4
March
2026
Published online:
14
March
2026
Abstract
This work investigates quantum teleportation of arbitrary unknown low-dimensional multi-particle cat-like states using high-dimensional entangled states as quantum channels. We first establish a protocol for teleporting f-dimensional unknown two-particle cat-like states through d-dimensional maximally entangled three-qudit channels (
). The sender performs sequential measurements: a single-particle measurement in f-dimensional Hilbert space followed by a non-symmetric basis measurement in (
)-dimensional Hilbert space. Based on these outcomes, the receiver applies corresponding unitary operations to reconstruct the original state. Subsequently, we extend this to non-maximally entangled three-qudit channels, enabling probabilistic state reconstruction via auxiliary qubits and targeted operations. Calculated success probabilities demonstrate that the non-maximally entangled approach generalizes the maximally entangled case. Finally, both protocols are generalized for f-dimensional k-particle cat-like state teleportation via d-dimensional 
-qudit entangled channels.
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.
Huang-rui Lei, Jian-gang Tang, and Jia-yin Peng have contributed equally to this work.
© 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.
