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International Conference on Parallel and Distributed Computing, Applications and Technologies (PDCAT)

Faithful Multi-Hop Qubit Transmission Based on GHZ States

Na Chen, Bin Yan, Shuangshuang Shuai, Changxing Pei

Published Dec 1, 2019• 0 citations
Publisher

Abstract

Quantum teleportation faithfully transfers quantum bits (qubits) between distant nodes, which enables global quantum communication network. In this paper, a scheme for faithful multi-hop qubit transmission is proposed employing parallel quantum measurements. In terms of communication delay, the proposed scheme transports a qubit in time almost the same as the one-hop quantum teleportation does regardless of the number of hops between the source and destination.

DOI
10.1109/pdcat46702.2019.00042

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Quantum teleportation faithfully transfers quantum bits (qubits) between distant nodes, which enables global quantum communication network. In this paper, a scheme for faithful multi-hop qubit transmission is proposed employing parallel quantum measurements. In terms of communication delay, the proposed scheme transports a qubit in time almost the same as the one-hop quantum teleportation does regardless of the number of hops between the source and destination.
Quantum teleportation faithfully transfers the quantum state of a physical system, instead of the system itself, which underlies the proposal of global quantum communication network. In this paper, we propose a faithful multi-hop quantum communication scheme. In a quantum network, different types of Greenberger-Horne-Zeilinger (GHZ) states are previously shared on quantum links. To implement qubits transmission, the sender and intermediate nodes perform quantum measurements in parallel, and then send their measurement results and the types of previously shared GHZ states to the receiver independently. A general formula is deduced for the receiver, who chooses an appropriate unitary operation to perform on the local particle, the original qubit can be retrieved. Our scheme shows advantages in quantum communication delay.
This paper solved the problem of transmitting quantum bits (qubits) in a multi-hop and bidirectional way. Considering that the Greenberger–Horne–Zeilinger (GHZ) states are less prone to the decoherence effects caused by the surrounding environment, we proposed a bidirectional quantum communication scheme based on quantum teleportation and the composite GHZ-GHZ states. On a multi-hop quantum path, different types of GHZ states are previously shared between the adjacent intermediate nodes. To implement qubit transmission, the sender and intermediate nodes perform quantum measurements in parallel, and then send their measurement results and the types of previously shared GHZ states to the receiver independently. Based on the received information, the receiver performs unitary operations on the local particle, thus retrieving the original qubit. Our scheme can avoid information leakage at the intermediate nodes and can reduce the end-to-end communication delay, in contrast to the hop-by-hop qubit transmission scheme.
The combination of quantum communication technology and wireless networks brings a flexible and secure communication method, which adapts to a more complex network environment. In this paper, a new multi-hop teleportation scheme is investigated for transferring an unknown qutrit state between distant parties. The intermediate nodes are introduced and linked with each other via partially entangled Greenberger-Horne-Zeilinger (GHZ) states as quantum channels. In this multi-hop teleportation protocol, the source node and all the intermediate nodes can perform the entanglement measurement and transmit the measurement results simultaneously. Furthermore, we find the relationship between the measurement results and the receiver’s state, which is given as the matrix form. Compared with previous protocols for multi-hop transmission, our scheme can reduce the transmission delay and save the transmission overhead.
In this paper, we propose a mesh-topology-based multi-hop teleportation scheme for a quantum network. By using the proposed scheme, quantum communication can be realized between two arbitrary nodes, even when they do not share a direct quantum channel. Einstein–Podolsky–Rosen pairs are used as quantum channels. The source node (initial sender) and all intermediate nodes make Bell measurements independently. They send the results to the destination node (final receiver) by classical channels. The quantum state can be determined from the Bell measurement result, and only the destination node is required for simple unitary transformation. This method of simultaneous measurement contributes significantly to quantum network by reducing the hop-by-hop transmission delay.
Motivated by multi-particle entanglement, we propose a multi-party quantum parallel teleportation scheme in quantum wireless multi-hop networks (QWMNs) investigated with four-vertex graph-based entanglement. We show an ar- bitrary single-qubit quantum teleportation with graph state between directly connected two-party and an arbitrary two- qubit quantum teleportation based on four-vertex graph state followed by the multi-parity quantum teleportation based on four-vertex graph state where source node do not need share any entangled pairs with destination node but via intermediate nodes’ quantum swapping to finish the teleportation. Source node and intermediate nodes conduct von Neumann measurement and transmit their classical outcomes to the destination node independently in a parallel manner. Then destination node applies appropriate unitary operation to recover the source quantum state according to the received outcomes. This graph- based scheme extends the entanglement pattern in quantum teleportation, provides a perfect multi-party teleportation model. The proposed scheme improves the constructing flexibility of the network and reduces the communication delay, which has a wide application in quantum route selection.
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.