Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

International Conference on Communications and Networking in China (ChinaCom)

A construction method of quantum low density parity check code based on projective geometry

Shengmei Zhao, Xiu-Li Zhu, Guo-Jun Sun

Published Aug 1, 2009• 1 citation
Publisher

Abstract

With the development of quantum error correction techniques, many counterparts of classical error correction coding techniques have been found in quantum area. As the quantum counterpart of a good error correction code in classical communications, quantum low density parity check code becomes a promising coding technique in quantum error correction area. In this paper, a construction method of quantum low density parity check code (quantum LDPC) based on Projective Geometry is proposed, and the quantum code QLDPC [21,6] is selected as an example to illustrate the whole construction procedures. By numerical simulation, the error correction performance of QLDPC [21,6] is discussed over the bit-flipping channel. It is shown that this method is available and has some advantages.

DOI
10.1109/chinacom.2009.5339860

Related papers

Construction of quantum low density parity check code based on quasi-cyclic sparse sequence

Shengmei Zhao, Bao-yui Zheng, W. F. Wang

In this paper, a construction method of quantum low density parity check codes (quantum LDPC) which based on classical quasi-cyclic sparse sequence is proposed, and the quantum code QLDPC(3,8)(16,6) and QLDPC(3,8)(64,24) are selected as examples to illustrate this construction method. The performances of this kind quantum LDPC codes are discussed over the bit-flipping channel by numerical simulations. The results show that these quantum codes have good ability to correct error in quantum channel.

International Conference on Communications and Networking in China (ChinaCom)•Jan 1, 2008•1 citation

Construction and Complete Circuit for Quantum Low Density Parity Check Code

Shengmei Zhao, Baoyu Zheng

Quantum error correction is the basic technique for realization of quantum communication and quantum computation. So far, the theories of quantum error correction have become more and more perfect, and many counterpart of classical error correction coding technique have been found in quantum area. In this article, we proposed a new method of construction of parity check matrix of quantum low density parity check (LDPC) codes which based on classical quasi-cyclic LDPC codes, and selected the quantum code (3,8)(16,6) as the example to illustrate the construction of quantum code. We also gave its completing circuit by controlled-not gate and Hadamard gate.

International Conference on Genetic and Evolutionary Computing•Sep 1, 2008•0 citations

A Construction Method of Quantum Low-density-parity-check Codes Based on Stabilizer Codes

Jing Liu

Based on the classical LDPC construction method and quantum error correction techniques,a construction method of quantum low-density-parity-check codes based on stabilizer codes is discussed method in this paper.We provide quantum code (12,3) obtained by our methed as example to verify this construction, together with a numerical simulation of the performance of quantum code (32,12) and quantum code (64,24)over the depolarizing channel.

Computer Knowledge and Technology•Jan 1, 2008•0 citations

New quantum LDPC codes based on projective geometry

Chuchen Tang, Chen‐Ming Bai, Ya’nan Feng

With the progress in techniques for correcting errors in quantum computing, quantum low density parity check (QLDPC) codes have gained increasing significance within the field of quantum error correction. This paper focuses on different strategies for the construction of QLDPC codes, which are based on all points and lines as well as partial points and lines from projective geometry. Finally, a series of simulation analyses are presented.

Scientific Reports•Jul 23, 2024•3 citations

A Method of Construction of Quantum Low-Density Parity-Check Codes Based on Sparse Circle Sequence

Shengmei Zhao

Quantum error correction is the basic technique for realization of quantum communication and quantum computation.So far,the theories of quantum error correction has become more and more perfect,many counterpart of classical error correction coding technique have been found in quantum area.In this paper,we improve a method of construction of parity check matrix in quantum low density parity check(LDPC) codes based on sparse circle sequence,and compare the performance of our construction method with that of MacKay's.The result shows that our method is not only able to remove some disadvantages of B and U construction,but also to reserve their advantages and improve the efficiency of coding and decoding.

Journal of Nanjing University of Posts and Telecommunications•Jan 1, 2007•0 citations

Construction of Quantum CSS Codes Based on Euclidean Geometry

LI Miao-miao

Based on the lines and points in finite geometry,a method to construct the low density parity check codes is discussed in this paper.According to the characteristics of these codes,the dual codes of this kind of LDPC codes are obtained by splitting the rows or columns of the check matrix.A novel construction method of quantum low-density-parity-check code is developed according to the theory of quantum CSS codes.Quantum code(15,4) is selected as an example to illustrate the availability of this construction method,and its performance is analyzed under the bit-flipping channel.It is shown that this method is easier to construct the dual codes,and the performance of quantum codes constructed is superior to that of classical ones.

Journal of Nanjing University of Posts and Telecommunications•Jan 1, 2008•0 citations
With the development of quantum error correction techniques, many counterparts of classical error correction coding techniques have been found in quantum area. As the quantum counterpart of a good error correction code in classical communications, quantum low density parity check code becomes a promising coding technique in quantum error correction area. In this paper, a construction method of quantum low density parity check code (quantum LDPC) based on Projective Geometry is proposed, and the quantum code QLDPC [21,6] is selected as an example to illustrate the whole construction procedures. By numerical simulation, the error correction performance of QLDPC [21,6] is discussed over the bit-flipping channel. It is shown that this method is available and has some advantages.
In this paper, a construction method of quantum low density parity check codes (quantum LDPC) which based on classical quasi-cyclic sparse sequence is proposed, and the quantum code QLDPC(3,8)(16,6) and QLDPC(3,8)(64,24) are selected as examples to illustrate this construction method. The performances of this kind quantum LDPC codes are discussed over the bit-flipping channel by numerical simulations. The results show that these quantum codes have good ability to correct error in quantum channel.
Quantum error correction is the basic technique for realization of quantum communication and quantum computation. So far, the theories of quantum error correction have become more and more perfect, and many counterpart of classical error correction coding technique have been found in quantum area. In this article, we proposed a new method of construction of parity check matrix of quantum low density parity check (LDPC) codes which based on classical quasi-cyclic LDPC codes, and selected the quantum code (3,8)(16,6) as the example to illustrate the construction of quantum code. We also gave its completing circuit by controlled-not gate and Hadamard gate.
Quantum error correction is the basic technique for realization of quantum communication and quantum computation.So far,the theories of quantum error correction has become more and more perfect,many counterpart of classical error correction coding technique have been found in quantum area.In this paper,we improve a method of construction of parity check matrix in quantum low density parity check(LDPC) codes based on sparse circle sequence,and compare the performance of our construction method with that of MacKay's.The result shows that our method is not only able to remove some disadvantages of B and U construction,but also to reserve their advantages and improve the efficiency of coding and decoding.
Based on the lines and points in finite geometry,a method to construct the low density parity check codes is discussed in this paper.According to the characteristics of these codes,the dual codes of this kind of LDPC codes are obtained by splitting the rows or columns of the check matrix.A novel construction method of quantum low-density-parity-check code is developed according to the theory of quantum CSS codes.Quantum code(15,4) is selected as an example to illustrate the availability of this construction method,and its performance is analyzed under the bit-flipping channel.It is shown that this method is easier to construct the dual codes,and the performance of quantum codes constructed is superior to that of classical ones.