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Journal of the Optical Society of America B

Remote implementation of quantum operations in quantum multihop networks

Fan Wu, Liang Bao Tang, Ming-Qiang Bai, Zhiwen Mo

Published Sep 6, 2022• 7 citations
Publisher

Abstract

Combining the method of the multihop and the idea of the remote implementation of quantum operations, the multihop quantum operation teleportation is proposed in this paper, that is, the remote implementation of quantum operations in quantum multihop networks. Here the source and destination node do not directly share entangled states at first, which can be established through the entanglement swapping of the intermediate nodes. In addition, taking the phase-damping and the bit-flipping noise as typical noisy channels, we use the fidelity to quantify the effect of our protocol in these two types of noise environments. Furthermore, compared with the protocol employing classical sequential entanglement swapping, our protocol can reduce the communication delay using simultaneous measurements.

DOI
10.1364/josab.452277

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Combining the method of the multihop and the idea of the remote implementation of quantum operations, the multihop quantum operation teleportation is proposed in this paper, that is, the remote implementation of quantum operations in quantum multihop networks. Here the source and destination node do not directly share entangled states at first, which can be established through the entanglement swapping of the intermediate nodes. In addition, taking the phase-damping and the bit-flipping noise as typical noisy channels, we use the fidelity to quantify the effect of our protocol in these two types of noise environments. Furthermore, compared with the protocol employing classical sequential entanglement swapping, our protocol can reduce the communication delay using simultaneous measurements.
Communication in quantum wireless multihop networks is useful in global quantum networks. We propose a scheme for faithful quantum communication in quantum wireless multihop networks, by performing quantum teleportation between two distant nodes which do not initially share entanglement with each other. The required entanglement among intermediate nodes is established through entanglement swapping based on arbitrary types of Bell pairs. All the measurement outcomes and the types of Bell pairs are sent to the destination node independently. The initial quantum state can be finally recovered by corresponding local operations. Our scheme can reduce end-to-end communication delay by using simultaneous measurements in contrast to the scheme based on sequential entanglement swapping.
Abstract Implementing quantum wireless multi-hop network communication is essential to improve the global quantum network system. In this paper, we employ eight-level GHZ states as quantum channels to realize multi-hop quantum communication, and utilize the logical relationship between the measurements of each node to derive the unitary operation performed by the end node. The hierarchical simultaneous entanglement switching (HSES) method is adopted, resulting in a significant reduction in the consumption of classical information compared to multi-hop quantum teleportation (QT) based on general simultaneous entanglement switching (SES). In addition, the proposed protocol is simulated on the IBM Quantum Experiment platform (IBM QE). Then, the data obtained from the experiment are analyzed using quantum state tomography, which verifies the protocol’s good fidelity and accuracy. Finally, by calculating fidelity, we analyze the impact of four different types of noise (phase-damping, amplitude-damping, phase-flip and bit-flip) in this protocol.
Abstract Combined with hierarchy simultaneous entanglement swapping, the scheme of the multi-hop quantum teleportation (QT) is proposed by using multi-pair Bell states. The scheme consists of two levels based on simultaneous entanglement swapping, namely Level-1 and Level-2. The former realizes simultaneous entanglement swapping of the inner segment, while the latter completes simultaneous entanglement swapping of the inter segment. Besides, the effect of four different types of noise (phase-damping, amplitude-damping, phase-flip, and bit-flip noise) on our scheme is analyzed by calculating the fidelity and concurrence. The results indicate that the fidelity and concurrence are related to the amplitude parameter, decoherence rate and number of nodes. Furthermore, compared with the scheme of the multi-hop QT adopting simultaneous entanglement swapping, our scheme can greatly reduce classical communication cost, and shows that the optimal classical communication cost can be obtained by selecting different segmentation methods.
We propose a teleportation scheme for nondestructively transmitting an unknown qudit state between two remote communication parties that are linked by sequential Bell pairs. With independent and simultaneous entanglement swapping among the intermediate nodes, a direct entangled channel between the source node and the destination node is established. Our scheme preserves the initial unknown state even if the teleportation fails. Different nonmaximally entangled channels are distributed among the participants so that the quantum channel requirement is reduced. In addition, the communication delay is reduced significantly since the measuring and the transmitting are conducted simultaneously by the intermediate nodes.
Abstract The development of quantum communication technologies has made the efficient transmission and processing of quantum states increasingly important. This paper first introduces a traditional multi-hop quantum teleportation scheme based on simultaneous entanglement swapping(SES). In this scheme, different quantum channels are used for odd-hop and even-hop quantum teleportation, respectively. The specific quantum communication processes of two-hop, three-hop, and four-hop are introduced in turn, and the transmission law of n-hop quantum teleportation is summarized. On this basis, a multi-level hierarchical simultaneous entanglement swapping(MHSES) scheme for multi-hop quantum teleportation is further proposed, which is achieved by dividing the multi-hop quantum network into multiple segments with multiple levels of processing. In each level, the intermediate nodes only need to send the measurement results to the nodes at the end of the segment, thus greatly reducing the forwarding of classical information. IBM Qiskit was used to simulate the operation of these two schemes in ideal and noisy environments. Finally, the proposed scheme is compared with the existing conventional quantum teleportation schemes, and the results show that the proposed scheme achieves better results in terms of reduced classical resource consumption and reduced time delay.
In our previous work [Phys. Rev. A 89, 022329 (2014)], we proposed a teleportation-based quantum communication scheme in a quantum wireless multihop network with arbitrary types of Bell pairs shared between adjacent nodes. Here we revised the scheme by introducing a result-mapping method for halving the classical communication cost, with which the source and intermediate nodes map the measurement outcomes to those corresponding to the target Bell pair type assigned by the destination node. A routing protocol is utilized to piggyback the target Bell pair type notification information which introduces no extra communication cost.