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arXiv:2408.06081 · Laser Physics Letters

Bidirectional quantum teleportation in continuous variables

E. A. Nesterova, S. B. Korolev

Published Aug 30, 2024• 3 citations
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Abstract

Abstract We propose a bidirectional quantum teleportation (BQT) protocol in continuous variables. We use a cluster state in continuous variables as the main resource to realize this protocol. In the paper, we obtain a family of configurations of cluster states in continuous variables that can be used to realize the BQT protocol. From the whole family of configurations, we have chosen those that realize the protocol with the smallest possible error.

DOI
10.1088/1612-202x/ad72df

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Abstract We propose a bidirectional quantum teleportation (BQT) protocol in continuous variables. We use a cluster state in continuous variables as the main resource to realize this protocol. In the paper, we obtain a family of configurations of cluster states in continuous variables that can be used to realize the BQT protocol. From the whole family of configurations, we have chosen those that realize the protocol with the smallest possible error.
Abstract We propose a protocol for tridirectional quantum teleportation in continuous variables. A special feature of the protocol is the possibility to choose one of three scenarios: simultaneous exchange between three participants, exchange between any two participants, or the transfer of two states to a third participant. We use a cluster state in continuous variables as the main resource to realise tridirectional quantum teleportation. In the paper, we obtain several possible configurations of cluster states in continuous variables that can be used as the main resource. From the whole range of configurations, we have chosen those that realise the protocol with the smallest possible error.
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.
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.