Some constructions of optimal subsystem codes derived from GRS codes

Subsystem codes (or operator quantum error correction codes) are one of the most versatile class of quantum error-correcting codes known to date that combine the best features of all known passive and active error control schemes. This paper introduces several new constructions of optimal subsystem...

Full description

Saved in:
Bibliographic Details
Published in:Quantum information processing 2022-08, Vol.21 (8), Article 271
Main Authors: Wang, Guohui, Tang, Chunming
Format: Article
Language:English
Subjects:
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Subsystem codes (or operator quantum error correction codes) are one of the most versatile class of quantum error-correcting codes known to date that combine the best features of all known passive and active error control schemes. This paper introduces several new constructions of optimal subsystem codes. It is shown how one can derive subsystem codes from Hermitian self-orthogonal GRS codes and extended GRS codes. Notably, through our construction methods, a large number of optimal subsystem codes can be generated.
ISSN:1573-1332
1573-1332
DOI:10.1007/s11128-022-03622-6