Faithful Multihop Two-Qubit Transmission Through GHZ-GHZ Channel
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Faithful Multihop Two-Qubit Transmission Through GHZ-GHZ Channel Shuangshuang Shuai1 · Na Chen1
· Bin Yan1 · Zhuopeng Wang1
Received: 13 August 2020 / Accepted: 23 September 2020 / © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Quantum teleportation is an important method for transmitting quantum states between two quantum communication nodes. In this paper, we propose a low-latency quantum communication scheme based on Greenberger-Horne-Zeilinger (GHZ) state. To implement two-qubit transmission, the source and all intermediate nodes perform quantum measurements simultaneously and the measurement results are transmitted to the destination node through classical channel independently. The destination node performs appropriate unitary operation on its particles to recover the original two-qubit state based on received measurement results. Our scheme effectively reduces the end-to-end quantum communication delay. Keywords Quantum communication · GHZ state · Two-qubit
1 Introduction Quantum teleportation uses classical channels and previously shared entanglement between the sender and receiver to transmit quantum state information. In 1993, Bennett et al. first proposed the concept of quantum teleportation based on the Einstein-Podolsky-Rosen (EPR) state [1]. Since then, a lot of quantum teleportation have been researched by using GHZ state [2, 3], W state [4], four-vertex graph state [5] and other cluster states [6–8] as quantum channel. In addition, several schemes for quantum teleportation have been proposed to transmit an arbitrary two-qubit [9], three-qubit [10] and N-qubit state [11–13]. In recent years, there have been many breakthroughs in the field of multi-hop quantum teleportation [14–17]. In order to reduce end-to-end transmission delay, Wang et al. proposed the multi-hop Quantum communication scheme based on arbitrary EPR pairs and teleportation [18]. Zhou et al. investigated bidirectional quantum teleportation by using sixqubit cluster state in quantum network [19]. Zhan et al. proposed a multi-hop teleportation scheme based on W state and EPR pairs where the possibility of successful transmission is 2 3
n
after n-hop teleportation [20].
Na Chen
na chen [email protected] 1
College of Electronic and Information Engineering, Shandong University of Science and Technology, Qingdao 266590, China
International Journal of Theoretical Physics
In this paper, we propose a faithful two-qubit transmission scheme based on GHZ-GHZ channel. When the quantum communication starts, every node except the destination node perform quantum measurements simultaneously and then send their measurement results to the destination node through classical channels independently. Finally, based on received measurement results, the destination node preform appropriate unitary operations to recover the original two-qubit state. The rest of the paper is organized as follows. In Section 2, we investigate one-hop quantum communication based on GHZ-GHZ channel. In Section 3, the general multi-hop qua
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