Quantum Inf Process (2010) 9:663–666
Erratum to: “Fast quantum codes based on Pauli block
Ying Guo · Moon Ho Lee
Published online: 12 January 2010
© Springer Science+Business Media, LLC 2010
Erratum to: Quantum Inf Process (2009) 8:361–378
In our recent paper entitled “Fast quantum codes based on Pauli block Jacket matrices”
[Quantum Inf Process (2009) 8:361–378], it was claimed that the constructed codes
were asymptotically good. However, the further investigation shows that minimum
distances of those code are always two. Some defects of the original paper are also
provided in detail.
Quantum error-correction code (QECC), an important issue in quantum information
processing as well as in quantum communication, has demonstrated a formal possi-
bility of storing and manipulating quantum data in the presence of noise . Recently,
several types of QECCs have been developed and investigated [2–8]. As these codes are
mostly based on the stabilizer formalism, a well-designed structure should be involved.
Usually, this code is called the stabilizer quantum code because of the stabilizer’s
involvement. However, the ﬁxed structure of the stabilizer is usually inconvenient
when considering constructions of long-length quantum codes with fast algorithms.
The online version of the original article can be found under doi:10.1007/s11128-009-0113-1.
Y. G u o (
School of Information Science and Engineering, Central South University, 410083 Changsha, China
e-mail: firstname.lastname@example.org; email@example.com
M. H. Lee
Institute of Information and Communication, Chonbuk National University, Chonju 561-756, Korea