TH2.R2.3

Quantum Codes Derived from One-Generator Quasi-Twisted Codes

Akram Saleh, Mohammad Reza Soleymani, Concordia University, Canada
Session:
Quantum Coding Theory 1
Track:
6: Quantum Information and Coding Theory
Location:
Ypsilon I-II-III
Presentation Time:
Thu, 11 Jul, 12:10 - 12:30
Session Chair:
Hiram Lopez,
Abstract
In this paper, we investigate one-generator quasi-twisted (QT) codes of index 3 over finite fields. Our objective is to characterize the dual code for this class of codes in terms of Hermitian inner product. We also establish sufficient conditions for self-orthogonality of these codes with respect to this inner product. As a result of our findings, we present examples of quantum error-correcting codes (QECCs) with good and optimal parameters derived from this family of QT codes.
Session TH2.R2
TH2.R2.1: A Joint Code and Belief Propagation Decoder Design for Quantum LDPC Codes
Sisi Miao, Jonathan Mandelbaum, Holger Jäkel, Laurent Schmalen, Karlsruhe Institute of Technology (KIT), Germany
TH2.R2.2: Upper bounds on the size of entanglement-assisted codeword stabilized codes using semidefinite programming
Ching-Yi Lai, Pin-Chieh Tseng, National Yang Ming Chiao Tung University, Taiwan; Wei-Hsuan Yu, National Central University, Taiwan
TH2.R2.3: Quantum Codes Derived from One-Generator Quasi-Twisted Codes
Akram Saleh, Mohammad Reza Soleymani, Concordia University, Canada
TH2.R2.4: Robust Syndrome Extraction via BCH Encoding
Eren Guttentag, Andrew Nemec, Kenneth R. Brown, Duke University, United States
Resources
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