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arXiv:2412.21179

Enhanced Two-Way Teleportation of Entangled States with Six-Qubit Cluster State

R Vedhanayagi, Soubhik De, Basherrudin Mahmud Ahmed A, Alok Sharan

Published Dec 30, 2024• 0 citations
arXivHTMLPDF

Abstract

This work presents a two-way teleportation protocol for the transfer of an unknown two-qubit quantum state between two parties Alice and Bob, utilizing a six-qubit cluster state. This bidirectional exchange is achieved by performing Bell measurements on the qubit pairs of Alice and Bob, ensuring the successful teleportation of the quantum state for both parties. We demonstrate the proposed protocol by designing a teleportation circuit that incorporates the necessary quantum gates. The fidelity of the teleportation process is evaluated through simulations, confirming the accuracy and reliability of the proposed scheme. The protocol restores teleported states without requiring CNOT operations or auxiliary qubits, offering a significant advantage in resource efficiency(utilization). A comparative analysis of the intrinsic efficiency with previous approaches establishes that the proposed protocol brings forth an efficient approach for achieving two-way quantum teleportation.

DOI
10.48550/arxiv.2412.21179

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Abstract A bidirectional quantum teleportation protocol is proposed for the transfer of two-qubit entangled states between two parties utilizing a six-qubit cluster state quantum channel. The protocol enhances the resource efficiency by allowing the reconstruction of teleported states without the use of CNOT operations or auxiliary qubits at the receiver’s end. Comparative analysis with existing schemes highlights the higher intrinsic efficiency of the proposed approach for bidirectional quantum teleportation. The protocol is further generalized to enable the bidirectional teleportation of arbitrary n-qubit entangled states using the same six-qubit quantum resource, demonstrating scalability. The protocol is simulated under various noise models to evaluate its robustness, with fidelity assessments carried out using the IBM Qiskit SDK. A complete teleportation circuit implementing the protocol is designed using standard quantum gates.
Quantum teleportation is considered as the most basic process of quantum communication. It is undoubtedly beneficial for the realization of quantum teleportation while transmitting the maximum number of quantum bits with the minimum number of quantum channel resources. An improved bidirectional quantum teleportation protocol based on a quantum channel of six-qubit cluster state is proposed. In this paper, the user Alice can transmit an unknown three-qubit entangled state to the user Bob, and at the same time, the user Bob can transmit an arbitrary single-qubit state to the user Alice by utilizing GHz-state measurement, bell-state measurement, single-qubit Von Neumann measurement, and unitary operations. Compared with other schemes in quantum resource consumption, necessary operation complexity including operation difficulty and intensity, classical resource consumption, quantum information bits transmitted, and intrinsic efficiency, our scheme has the remarkable advantages in transmitting more quantum information and possesses higher intrinsic efficiency.
Abstract This paper proposes a symmetric bidirectional quantum teleportation protocol through an eight-qubit cluster state as a quantum channel to achieve GHZ state interchange between two parties. Alice and Bob must first perform two CNOT gate operations on the unknown GHZ state to be sent in our scheme. Next, they need to complete the Bell state measurements and the corresponding unitary operations to obtain the corresponding GHZ state. Our protocol has lower operational complexity and higher inherent efficiency compared to other protocols. In addition, we have simulated the quantum circuit on the IBM qasm simulator to verify the feasibility of the protocol.
In this paper, a theoretical scheme for bidirectional quantum teleportation by using a four-qubit GHZ state and two Bell states as a quantum channel is proposed. In this scheme, two arbitrary single-qubit quantum states and an unknown three-qubit state can be mutually transmitted between the two communication participants Alice and Bob. The quantum state information can be transmitted if Alice performs four single-qubit measurement operations on her qubits and Bob carries out a four-qubit joint measurement on his qubits, respectively. Then both Alice and Bob can reconstruct the target quantum state by means of appropriate unitary operations. Then we take comparisons with the other bidirectional quantum teleportation protocols in five aspects of quantum information bits transmitted, necessary operations, consumption of quantum resource, consumption of classical resource and intrinsic efficiency. Furthermore, we use channel authentication method to ensure the channel security and prove that our protocol can withstand four attack scenarios. It is concluded that our scheme has significant advantages of more qubits number transmitted, higher intrinsic efficiency and high security.
Abstract Using a five-qubit cluster state as quantum channel, a novel bidirectional quantum teleportation protocol has been proposed by Wang and Li (2022 Quantum Inf. Process. 21 44) recently in which there are two legitimate parties, Alice and Bob. Alice can teleport a two-qubit pure entangled state to Bob, simultaneously Bob can teleport a single-qubit state to Alice. In this paper, based on the same five-qubit cluster state as quantum resource, we put forward an optimized protocol. A comparison with Wang and Li’s protocol is made which reveals distinct advantages of the optimized protocol in reducing the classical resources and degrading the complexity of necessary quantum operations, as well as increasing the inherent efficiency. Additionally, some mistakes in Wang and Li’s protocol are pointed out and amended.