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Jisuanji yingyong yanjiu

Quantum network coding based on butterfly network

Ying Guo

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

Based on the typical example of butterfly network,this paper promoted a quantum network coding scheme including the transmission of classical information and the unknown qubit.It improved effectively the overall performance of the network which could achieve the maximizing information transmission in quantum network.Remarkably,here it did not require classic channel,only had quantum channel.It mad use of qubit as register to transmit classical information.No matter what send was unknown qubit or classical bit,both could be encoded with register and decoded without classical assistant information.It's effective to improve security of this scheme.

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Based on the typical example of butterfly network,this paper promoted a quantum network coding scheme including the transmission of classical information and the unknown qubit.It improved effectively the overall performance of the network which could achieve the maximizing information transmission in quantum network.Remarkably,here it did not require classic channel,only had quantum channel.It mad use of qubit as register to transmit classical information.No matter what send was unknown qubit or classical bit,both could be encoded with register and decoded without classical assistant information.It's effective to improve security of this scheme.
With the development of quantum network, quantum continuous-variables have practical significance of improving communication. This paper proposes a new continuous-variable quantum network coding protocol (CVQNC) based on the butterfly network model with the hybrid channel of quantum channel and classical channel to realise the cross transmission of quantum information and classical information. The new protocol not only is conducive to the realisation of quantum network, but also can reduce the communication cost of quantum network effectively. It can be seen from the throughput and fidelity analysis that this protocol has a higher throughput than discrete-variable quantum network encoding scheme and classical information network encoding scheme. The ceiling of fidelity in this protocol is 4/9. According to the analysis of simple intercept attack and spectroscope attack, it is secure for the protocol to transmit quantum information and classical information by resisting on the eavesdropping attack of the third-party effectively.
With the development of quantum network, quantum continuous-variables have practical significance of improving communication. This paper proposes a new continuous-variable quantum network coding protocol (CVQNC) based on the butterfly network model with the hybrid channel of quantum channel and classical channel to realise the cross transmission of quantum information and classical information. The new protocol not only is conducive to the realisation of quantum network, but also can reduce the communication cost of quantum network effectively. It can be seen from the throughput and fidelity analysis that this protocol has a higher throughput than discrete-variable quantum network encoding scheme and classical information network encoding scheme. The ceiling of fidelity in this protocol is 4/9. According to the analysis of simple intercept attack and spectroscope attack, it is secure for the protocol to transmit quantum information and classical information by resisting on the eavesdropping attack of the third-party effectively.
Abstract The high-dimensional quantum system greatly improve the quantum channel capacity and information storage space, and achieve high-dimensional quantum information transmission, which enhance the speed of quantum computing and quantum information processing. In this paper, a high-dimensional quantum teleportation protocol without information loss is proposed. We consider pre-sharing a high-dimensional non-maximum entangled state as a quantum channel between sender and receiver. By adding auxiliary particle and performing high-dimensional local operations, it is possible to achieve high-dimensional quantum teleportation without information loss. Simultaneously, we apply the protocol to butterfly network, and propose a novel high-dimensional quantum network coding based on prediction mechanism. In our scheme, we use Z -{|0⟩, |1⟩} basis to predict the transmission of high dimensional states over the butterfly network. When the prediction is successful, the deterministic transmission of high-dimensional quantum states can be realized over the butterfly network. Our scheme greatly saves the usage of quantum and classical channels, which improves the utilization efficiency of both channels.
As a specific example of network coding, the butterfly network often represents the networks with bottlenecks. In this paper, we propose a typical butterfly quantum network coding scheme based on remote state preparation of arbitrary two-qubit states with the assistance of GHZ channels. Firstly, in a butterfly network, each source node simultaneously performs two appropriate projective measurements under suitable measurement basis on their own qubits. Next, their measurement results would be distributed to mid-side nodes. In the following, midside nodes perform encoded operations and send their encoded information to destination nodes. Finally, two destination nodes obtain the target state according to all information they receive with the success probability 1.
Abstract Quantum network coding on the butterfly network has been studied as a typical example of quantum multiple cast network. We propose a secure quantum network code for the butterfly network with free public classical communication in the multiple unicast setting under restricted eavesdropper’s power. This protocol certainly transmits quantum states when there is no attack. We also show the secrecy with shared randomness as additional resource when the eavesdropper wiretaps one of the channels in the butterfly network and also derives the information sending through public classical communication. Our protocol does not require verification process, which ensures single-shot security.
Quantum network coding with classical assistance can transmit quantum information with fidelity one in error-free quantum channels. However, the dependency on classical network solutions leads to higher communication complexity and transmission congestion over a large-scale network with bottleneck channels. We find that certain types of quantum operation are sufficient to support multiple unicast sessions over the extended butterfly network. Furthermore, this construction decouples classical communication (assisting decoding information) from classical network solution. Based on this design, we propose an optimal protocol for this specific network, which significantly reduces the communication cost.