Quick Navigation
Topics
Quantum State Preparation Representation
Quantum (r,δ)-Locally Recoverable BCH and Homothetic-BCH Codes
arXiv
Authors: Carlos Galindo, Fernando Hernando, Ryutaroh Matsumoto
Year
2026
Paper ID
3087
Status
Preprint
Abstract Read
~2 min
Abstract Words
80
Citations
N/A
Abstract
Quantum (r,δ)-locally recoverable codes ((r,δ)-LRCs) are the quantum version of classical (r,δ)-LRCs designed to recover multiple failures in large-scale distributed and cloud storage systems. A quantum (r,δ)-LRC, Q(C), can be constructed from an (r,δ)-LRC, C, which is Euclidean or Hermitian dual-containing. This article is devoted to studying how to get quantum (r,δ)-LRCs from BCH and homothetic-BCH codes. As a consequence, we give pure quantum (r,δ)-LRCs which are optimal for the Singleton-like bound.
Why This Paper Matters
- This paper contributes to the Quantum State Preparation & Representation research area in the Quantum Articles archive.
- It adds a 2026 reference point for readers tracking recent quantum research.
- Quantum (r,δ)-locally recoverable codes ((r,δ)-LRCs) are the quantum version of classical (r,δ)-LRCs designed to recover multiple failures in large-scale distributed and cloud...
Paper Tools
Become a member to use research tools
Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.
Show Paper arXiv Publisher Share
Cite This Paper
Copy URL
Compare
Copy DOI Add to Reading List
Category Correction Request
Category Correction Request
Help us improve classification quality by proposing a better category. Every request is reviewed by an admin.
Sign in to submit a category correction request for this paper.
Log In to SubmitReferences & Citation Signals
Community Reactions
Quick sentiment from readers on this paper.
Score:
0
Likes: 0
Dislikes: 0
Sign in to react to this paper.
Discussion & Reviews (Moderated)
Average Rating: 0.0 / 5 (0 ratings)
No written reviews yet.