Turbo‐coded secure and reliable quantum teleportation

Abstract

Quantum teleportation allows an unknown arbitrary quantum state to be transmitted between two separate locations. To achieve this, the system requires both classical and quantum channels, for communicating two classical bits and an entangled quantum bit from the transmitter to the receiver. It is commonly assumed that both channels are error-free, however, under realistic conditions, this is unlikely to be the case. This study proposed and investigated a secure and reliable quantum teleportation scheme when both classical and quantum channels exhibit errors. It was found that the security and reliability of the teleportation could be improved when powerful turbo codes are employed.

Large teleportation of two-qubit state between non-neighboring nodes based on the utilization of multiple cluster states within quantum networks

“…Upon receiving the measurement results from the source node and all intermediary nodes, destination node N n can apply suitable Pauli unitary operators as depicted in figure 4. The final state at the destination node of the particle pair (4n, 4n + 1) can be expressed, using logical algebraic expressions (appendix A), as In the two-hop quantum teleportation of a two-qubit state, if the shared four-qubit cluster states was ñ |C 4 11 and ñ |C 4 13 respectively, the discriminating vector at destination node B will be P 4 . Similarly, alternative discriminating vectors can be found for other forward four-qubit cluster state combinations.…”

“…The seamless integration of these elements underscores the broad-reaching impact of quantum teleportation on diverse areas of quantum technology. Expanding on the landscape of point-to-point teleportation, numerous schemes have emerged, employing diverse entangled channels encompassing states such as Bell states [9][10][11], GHZ states [12][13][14], W states [15][16][17], cluster states [18][19][20] and hybrid states [21]. Simultaneously, the domain of experimental quantum teleportation has experienced rapid evolution, achieving realizations across a spectrum of physical systems.…”

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

“…Bennett et al [6] proposed the first quantum teleportation protocol based on the Einstein-Podolsky-Rosen (EPR) pairs for teleporting an unknown photon state. Subsequently, many point-to-point teleportation schemes have been proposed, where various states are utilised as the entangled channels, such as Bell states [7][8][9], GHZ states [10][11][12], W states [13][14][15] and cluster states [16][17][18]. Meanwhile, experimental quantum teleportation has also been rapidly developed.…”

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

“…It will increase the risk of information loss and reduce the fidelity of the channel. Afterwards, several probabilistic teleportation schemes [26][27][28][29] were presented with various non-maximally entangled states as quantum channels such as Einstein-Podolsky-Rosen (EPR) state [28,30], cluster state [31], W state [32], mixed state [33] and so on. For example, Li et al [26] proposed a probabilistic teleportation scheme to transmit an unknown qudit state with various non-maximally entangled Bell states as the quantum channel.…”

“…It will increase the risk of information loss and reduce the fidelity of the channel. Afterwards, several probabilistic teleportation schemes [26–29] were presented with various non‐maximally entangled states as quantum channels such as Einstein–Podolsky–Rosen (EPR) state [28, 30], cluster state [31], W state [32], mixed state [33] and so on. For example, Li et al.…”