Multi‐hop non‐destructive qudit teleportation via non‐maximally entangled GHZ channels

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 ddimensional (d ≥ 2) 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.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

Multi‐hop teleportation of arbitrary multi‐qudit states based on d ‐level GHZ channels

“…Particularly, significantly different with Ref. [60], we discover an explicit relationship between the measurement results and the receiver's state, and show it as the general matrix formula, which could help the receiver to restore the unknown state easily. Compared with previous reports, our scheme has the following advantages: (1) more quantum information can be transmitted, (2) more practical and more flexible and (3) lower computational complexity and higher efficiency.…”

“…In high-dimensional systems, the qudits are employed to encode the quantum information instead of qubits in two-dimensional systems. Each qudit has d levels with j0〉, j1〉,…, jd − 1〉 [58][59][60]. In 2022, Pan et al [61] proposed a high-dimensional non-destructive teleportation protocol to transmit unknown single-qudit states by employing highdimensional non-maximally entangled Bell states as the quantum channels.…”

“…In high‐dimensional systems, the qudits are employed to encode the quantum information instead of qubits in two‐dimensional systems. Each qudit has d levels with $$\vert 0\rangle $$, $$\vert 1\rangle $$,…, $$\vert d-1\rangle $$ [58–60]. In 2022, Pan et al.…”

Multi‐hop joint remote state preparation of general hybrid entangled multi‐qudit states via distinct Einstein‐Podolsky‐Rosen channels

“…In the past decades, quantum information technology [1][2][3][4][5] has received much attention and the anticipation to realise the application of quantum communication and quantum computing. By exploiting the non-locality of entanglements, quantum information processing (QIP) plays a vital role in quantum communication and it has branched out many applications, such as quantum cryptography [6], quantum dialogue [7], quantum teleportation (QT) [8], superdense coding [9,10], quantum secret sharing [11,12] and remote state preparation (RSP) [13][14][15][16][17][18][19][20].…”