Multi-qudit state sharing via various high-dimensional Bell channels

Wen Zhang, Xueqin Zuo, Ziyun Zhang

Min Jiang, Daoyi Dong

Tie-Jun Wang, Hong-Yu Zhou, Fu‐Guo Deng

Qin Liu, Yuzhen Wei, Shibei Xue +1 more

Abstract A scheme for the multihop non‐destructive teleportation of an arbitrary single‐qudit state based on various non‐maximally entangled Greenberger–Horne–Zeilinger channels is proposed here. The parallel entanglement swap is used to form a direct d ‐dimensional () entangled channel shared between the sender and the receiver. The authors’ propose a novel idea that the third‐party Charlie with high quantum information processing technology executes the channel modulation, which reduces the technical requirements of the sender and the receiver. In addition, if the teleportation fails, the unknown state will be restored by the sender. This work provides a feasible method for teleportation and ensures the integrity of the unknown quantum information.

Yinxiang Long, Daowen Qiu, Dongyang Long

In the past decades, various schemes of teleportation of quantum states through different types of quantum channels (a prior shared entangled state between the sender and the receiver), e.g. EPR pairs, generalized Bell states, qubit GHZ states, standard W states and its variations, genuine multiqubit entanglement states, etc., have been developed. Recently, three-qutrit quantum states and two-qudit quantum states have also been considered as quantum channels for teleportation. In this paper, we investigate the teleportation of an unknown qudit using a d level GHZ state, i.e. a three-qudit maximally entangled state, as quantum channel. We design a general scheme of faithful teleportation of an unknown qudit using a d-level GHZ state shared between the sender and the receiver, or among the sender, the receiver and the controller; an unknown two-qudit of Schmidt form using a d level GHZ state shared between the sender and the receiver; as well as an unknown arbitrary two-qudit using two shared d level GHZ states between the sender, the receiver and the controller, or using one shared d level GHZ state and one shared generalized Bell state. We obtain the general formulas of Alice's measurement basis, Charlie's measurement basis and Bob's unitary operations to recover the input state of Alice. It is intuitionistic to generalize the protocols of teleporting an arbitrary two-qudit state to teleporting an arbitrary n-qudit state.

Runhua Shi, Liusheng Huang, Wei Yang +1 more