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International Symposium on Antennas and Propagation

Quantum state propagation in quantum wireless multi-hop network based on EPR pairs

Kan Wang, Xutao Yu, Shengli Lu

Published Oct 1, 2013• 0 citations
OpenAlex

Abstract

Quantum wireless multi-hop network (QWMN) is one emerging area which is relative to quantum communication and information. Long distance delivery of quantum information in network is an important problem in future. This results in our study on quantum state propagation in QWMN by using EPR pairs. In this paper, we present and prove method to transfer quantum state in QWMN. With this method, quantum state can be teleported from source to destination and intermediate nodes can complete teleportation in parallelism and independently in QWMN. The time complexity of this method is independent of number of hops. In addition, we verify that EPR-pair bridging is still applicable for transmitting quantum state in n-hop routing and extend the logical relation of result to n-hop case. Based on these studies, we can propagate quantum states instantaneously in QWMN and destination node can recover the state only with the measurement outcomes of intermediate nodes.

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Quantum wireless multi-hop network (QWMN) is one emerging area which is relative to quantum communication and information. Long distance delivery of quantum information in network is an important problem in future. This results in our study on quantum state propagation in QWMN by using EPR pairs. In this paper, we present and prove method to transfer quantum state in QWMN. With this method, quantum state can be teleported from source to destination and intermediate nodes can complete teleportation in parallelism and independently in QWMN. The time complexity of this method is independent of number of hops. In addition, we verify that EPR-pair bridging is still applicable for transmitting quantum state in n-hop routing and extend the logical relation of result to n-hop case. Based on these studies, we can propagate quantum states instantaneously in QWMN and destination node can recover the state only with the measurement outcomes of intermediate nodes.
Multi-hop teleportation has significant value due to long-distance delivery of quantum information. Many studies about multi-hop teleportation are based on Bell pairs, partially entangled pairs or W state. The possibility of multi-hop teleportation constituted by partially entangled pairs relates to the number of nodes. The possibility of multi-hop teleportation constituted by double W states is after n -hop teleportation. In this paper, a multi-hop teleportation scheme based on W state and EPR pairs is presented and proved. The successful possibility of quantum information transmitted hop by hop through intermediate nodes is deduced. The possibility of successful transmission is after n -hop teleportation.
Multi-hop teleportation has significant value due to long-distance delivery of quantum information. Many studies about multi-hop teleportation are based on Bell pairs, partially entangled pairs or W state. The possibility of multi-hop teleportation constituted by partially entangled pairs relates to the number of nodes. The possibility of multi-hop teleportation constituted by double W states is (4/9)~n after n-hop teleportation. In this paper, a multi-hop teleportation scheme based on W state and EPR pairs is presented and proved. The successful possibility of quantum information transmitted hop by hop through intermediate nodes is deduced. The possibility of successful transmission is (2/3)~n after n-hop teleportation.
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.
Wireless quantum communication networks transfer quantum state by teleportation. Existing research focuses on maximal entangled pairs. In this paper, we analyse the distributed wireless quantum communication networks with partially entangled pairs. A quantum routing scheme with multi-hop teleportation is proposed. With the proposed scheme, is not necessary for the quantum path to be consistent with the classical path. The quantum path and its associated classical path are established in a distributed way. Direct multi-hop teleportation is conducted on the selected path to transfer a quantum state from the source to the destination. Based on the feature of multi-hop teleportation using partially entangled pairs, if the node number of the quantum path is even, the destination node will add another teleportation at itself. We simulated the performance of distributed wireless quantum communication networks with a partially entangled state. The probability of transferring the quantum state successfully is statistically analyzed. Our work shows that multi-hop teleportation on distributed wireless quantum networks with partially entangled pairs is feasible.
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.
Wireless quantum communication networks transfer quantum state by teleportation. Existing research focuses on maximal entangled pairs. In this paper, we analyse the distributed wireless quantum communication networks with partially entangled pairs. A quantum routing scheme with multi-hop teleportation is proposed. With the proposed scheme, is not necessary for the quantum path to be consistent with the classical path. The quantum path and its associated classical path are established in a distributed way. Direct multi-hop teleportation is conducted on the selected path to transfer a quantum state from the source to the destination. Based on the feature of multi-hop teleportation using partially entangled pairs, if the node number of the quantum path is even, the destination node will add another teleportation at itself. We simulated the performance of distributed wireless quantum communication networks with a partially entangled state. The probability of transferring the quantum state successfully is statistically analyzed. Our work shows that multi-hop teleportation on distributed wireless quantum networks with partially entangled pairs is feasible,