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Seven bit quantum channel coding and error correction

Author: ChenZuo
Tutor: ZhouXiaoQing
School: Jishou University
Course: Condensed Matter Physics
Keywords: Quantum communication communication protocol quantumencoding quantum error correction fidelity
CLC: O413
Type: Master's thesis
Year: 2013
Downloads: 14
Quote: 0
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Abstract


In this paper, qubits must be sent again between the two communication siteswhen some qubit errors occur in the data frame of the quantum network. Althoughthis method can guarantee the accuracy of the data, the pressure of the communicationchannel is increased. In order to reduce the pressure of the channel and improve theefficiency of selective repeat protocol, we analyze existing selective repeat protocolfrom the process of quantum replicated states and quantum teleportation. Thus thecache of the channel is introduced and the selective repeat protocol of the data linklayer is improved. Furthermore, we compare the efficiency of protocol and theutilization ratio of channel with previous scheme.It provides a reference of seekingmore effective communication means in the future.The quantum coding circuit of five-particle and seven-particle entangled states isdesigned for the senders and the diagram of quantum error correction circuit isdevised for the receivers. The function of circuit is to correct the qubit reversal orphase reversal of one, two, three quantum states and isn’t limited to correct thereversal of one state. For quantum error correction, single quantum state which will betransmitted is encode into five particles and seven particle entangled state in thesenders. The automatic circuit of quantum error correction is designed in the receiverswhich will finish the process of quantum error correction. The circuit can correct theerror caused by noise and alleviate the channels’ pressure for overtime and resending.Under the same channel conditions,the efficiency and the capability of errorcorrection of schemes, the five and seven entangled particles error correction, iscompared. Finally, we can get the conclusion that the efficiency and fidelity ofparticle error correction is increased by the particle number and the reference formultiparticle error correction is provided.

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Quantum theory
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