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Asian Control Conference (ASCC)

Multi-hop teleportation of unknown qutrit state based on the GHZ channels

Yi Ding, Min Jiang

Published May 4, 2022• 1 citation
Publisher

Abstract

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.

DOI
10.23919/ascc56756.2022.9828272

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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.
Abstract The combination of quantum communication technology and wireless networks brings a flexible and secure communication method that adapts to a more complex and open network environment. A new multi‐hop teleportation scheme is investigated for transferring arbitrary unknown multi‐qudit states between two distant parties. Based on a more general quantum routing protocol, intermediate nodes are introduced and linked with each other via d ‐level entangled Greenberger‐Horne‐Zeilinger 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, thus reducing the time consumption largely. Furthermore, a general matrix formula is derived between the measurement results and the receiver's state, which enables the receiver to restore the unknown state efficiently. Compared with previous multi‐hop teleportation protocols, the teleportation protocol of arbitrary unknown multi‐qudit states of the authors can transfer more information, and it demonstrates lower computational complexity and higher flexibility.
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.
Quantum multi-hop teleportation is important in the field of quantum communication. In this study, we propose a quantum multi-hop communication model and a quantum routing protocol with multihop teleportation for wireless mesh backbone networks. Based on an analysis of quantum multi-hop protocols, a partially entangled Greenberger–Horne–Zeilinger (GHZ) state is selected as the quantum channel for the proposed protocol. Both quantum and classical wireless channels exist between two neighboring nodes along the route. With the proposed routing protocol, quantum information can be transmitted hop by hop from the source node to the destination node. Based on multi-hop teleportation based on the partially entangled GHZ state, a quantum route established with the minimum number of hops. The difference between our routing protocol and the classical one is that in the former, the processes used to find a quantum route and establish quantum channel entanglement occur simultaneously. The Bell state measurement results of each hop are piggybacked to quantum route finding information. This method reduces the total number of packets and the magnitude of air interface delay. The deduction of the establishment of a quantum channel between source and destination is also presented here. The final success probability of quantum multi-hop teleportation in wireless mesh backbone networks was simulated and analyzed. Our research shows that quantum multi-hop teleportation in wireless mesh backbone networks through a partially entangled GHZ state is feasible.
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.
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.
Quantum teleportation is important for quantum communication. We propose a protocol that uses a partially entangled Greenberger–Horne–Zeilinger (GHZ) state for single hop teleportation. Quantum teleportation will succeed if the sender makes a Bell state measurement, and the receiver performs the Hadamard gate operation, applies appropriate Pauli operators, introduces an auxiliary particle, and applies the corresponding unitary matrix to recover the transmitted state.We also present a protocol to realize multiple teleportation of partially entangled GHZ state without an auxiliary particle. We show that the success probability of the teleportation is always 0 when the number of teleportations is odd. In order to improve the success probability of a multihop, we introduce the method used in our single hop teleportation, thus proposing a multiple teleportation protocol using auxiliary particles and a unitary matrix. The final success probability is shown to be improved significantly for the method without auxiliary particles for both an odd or even number of teleportations.