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.

Highlights

  • Quantum teleportation (QT) is a communication protocol that transmits the information using an arbitrary and unknown quantum bit without the physical transmission of that specific qubit [1]

  • Without the transmission of the qubit ψ⟩ itself, the teleportation protocol reconstructs a replica of the original qubit at the receiver using the classical information communicated over the classical channel as well as one of the preshared entangled qubit that was communicated over the quantum channel

  • Decode with quantum TCs (QTCs): The corresponding QTC decoding process is implemented at the receiver [QTC decoding at the transmitter is needed, if the EPR pairs are prepared by a third party [16].] and is based on the error syndromes [20, 21]

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Summary

Introduction

Quantum teleportation (QT) is a communication protocol that transmits the information using an arbitrary and unknown quantum bit (qubit) without the physical transmission of that specific qubit [1]. The single qubit state can be represented by ψ⟩ = α 0⟩ + β 1⟩, where α, β ∈ C and α 2 + β 2 = 1 This qubit can be teleported from the transmitter to the receiver by using the transmission of classical information and with the aid of an additional entangled pair of qubits. Information about the qubit ψ⟩ is extracted at the transmitter by a Bell measurement and the outcome is communicated to the receiver over the classical channel. Secure QT protocols are explored by authenticating entangled qubit pairs via a trusted third-party and with the aid of quantum-secure-direct-communication (QSDC) [10] scheme.

Teleportation over perfect channels
Teleportation over imperfect classical channel
Classical turbo-coded teleportation
Quantum depolarising channel
Classical turbo-coded teleportation over imperfect quantum channel
Quantum turbo-coded secure teleportation
Secure and reliable teleportation
Secure error ratio threshold with QTC
Reliable QT
Findings
Conclusion
Full Text
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