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A Quantum Error Correction Coding Method for Quantum Repeater

An error correction coding and repeater technology, applied in the field of quantum error correction coding of quantum repeaters, can solve the problems of low coding rate, inability to correct and delete errors, increase the physical resource overhead of quantum repeaters, etc. error ability, improve error correction efficiency, and reduce the effect of physical resource overhead

Active Publication Date: 2020-04-07
XIDIAN UNIV
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AI Technical Summary

Problems solved by technology

The disadvantage of this method is: due to the low encoding rate of (n,m) QPC code, the physical resource overhead of the quantum repeater is increased, resulting in low error correction efficiency of the quantum repeater
The disadvantages of this method are: because the encoding method used by the quantum repeater is a common encoding method, it cannot correct the deletion errors that occur on random qubits, resulting in low error correction capabilities of the quantum repeater

Method used

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  • A Quantum Error Correction Coding Method for Quantum Repeater
  • A Quantum Error Correction Coding Method for Quantum Repeater
  • A Quantum Error Correction Coding Method for Quantum Repeater

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Embodiment Construction

[0032] Attached below figure 1 , to further describe the specific steps of the present invention.

[0033] Step 1, encode the information to be transmitted.

[0034] The stabilizer generator of quantum Reed-Muller RM codes is generated by using the Kelderbank-Sholl-Stean CSS construction method.

[0035] The specific steps of the Kelderbank-Sholl-Steen CSS construction method are as follows:

[0036] Step 1: Select the first m+1 rows from the generation matrix of the m-2 order m-Virid-Muller RM code to form the generation matrix of the dual code of the Reed-Muller RM code, where m represents the code subspace dimension, the value of m is a positive integer greater than 5;

[0037] Step 2, transpose the generation matrix of the Reed-Muller RM code to find the null space, and obtain the parity check matrix of the Reed-Muller RM code; transpose the generation matrix of the dual code of the Reed-Muller RM code Find the null space to obtain the check matrix of the dual code of ...

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Abstract

The invention discloses a quantum error correction coding method for a quantum repeater, which mainly solves the problems of low efficiency and poor error correction ability of the quantum repeater. The technical scheme is as follows: preparation of auxiliary quantum entangled states in quantum repeater; transmitting a code word of a quantum RM code to a quantum repeater; establishing an entanglement of the received codeword and the ground state; Measuring the received codeword and ground state; correct deletion errors; sending a codeword to the next quantum repeater that does not contain a deleted quantum RM code. The above steps are repeated until the user receiver outputs a codeword that does not contain a deleted error quantum RM code. The invention overcomes the problems of low efficiency and poor error correction ability of the quantum repeater, reduces the physical resource overhead of the quantum repeater, and improves the error correction efficiency and the error correction ability of the quantum repeater.

Description

technical field [0001] The invention belongs to the technical field of communication, and further relates to a quantum error correction coding method used in a quantum repeater in the technical field of quantum communication information processing. The present invention is based on the quantum repeater decomposed by the all-optical Belgi pair, by using the quantum error correction code, and according to the quantum teleportation error correction TEC (Teleportation-based Error Correction) protocol, in the quantum repeater, the quantum information transmission is corrected Delete error in process. Background technique [0002] The current quantum communication method is dominated by quantum optical communication. Due to the influence of channel noise, the transmission of optical quantum signals will decay exponentially with the increase of distance, resulting in a large number of erasure errors. According to the quantum teleportation error correction TEC (Teleportation-based ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L9/08H04B10/70
CPCH04B10/70H04L9/0852H04L9/0858
Inventor 王云江刘洋石莎熊星宇
Owner XIDIAN UNIV
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