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Quantum Convolutional Codes Based on the Stabilizer of Linear Codes

2005 Asia-Pacific Conference on Communications, 2005
A quantum error correction scheme is proposed to protect a flow of transmitted quantum information. It is largely inspired by the theory of classical convolutional codes and the construction of the linear quantum code for error correction using the stabilizer formalism. Also, we provide an explicit encoding circuit to describe the process of the online
null Ying Guo, null Guihua Zeng
openaire   +1 more source

Upper bound on quantum stabilizer codes

Physical Review A, 2009
By studying sets of operators having constant weight, we present an analytical upper bound on the pure quantum stabilizer codes whose underlying quantum system can be of arbitrary dimension, which outperforms the well-known quantum Hamming bound, the optimal analytical upper bound so far for small code length.
Zhuo Li, Li-Juan Xing
openaire   +1 more source

Variations on Encoding Circuits for Stabilizer Quantum Codes

2011
Quantum error-correcting codes (QECC) are an important component of any future quantum computing device. After a brief introduction to stabilizer quantum codes, we present two methods to efficiently compute encoding circuits for them.
openaire   +1 more source

An Explicit Construction of Quantum Stabilizer Codes From Quasi-Cyclic Codes

IEEE Communications Letters, 2020
Jingjie Lv, Ruihu Li, Junli Wang
exaly  

A Construction of Optimal Nonbinary Pure Quantum Stabilizer Codes

International Journal of Theoretical Physics, 2022
Zhonghua Sun, Shixin Zhu
exaly  

A Finite Gilbert–Varshamov Bound for Pure Stabilizer Quantum Codes

IEEE Transactions on Information Theory, 2004
Keqin Feng, Zhi Ma
exaly  

Quantum Stabilizer Codes and Beyond

2021
Ivan B Djordjevic
exaly  

Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement

Quantum Information Processing, 2015
Carlos Galindo   +2 more
exaly  

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