Quick Navigation
Topics
Quantum Error Correction Fault Tolerance
Codeword Stabilized Quantum Codes
arXiv
Authors: Andrew Cross, Graeme Smith, John A. Smolin, Bei Zeng
Year
2007
Paper ID
49426
Status
Preprint
Abstract Read
~2 min
Abstract Words
63
Citations
N/A
Abstract
We present a unifying approach to quantum error correcting code design that encompasses additive (stabilizer) codes, as well as all known examples of nonadditive codes with good parameters. We use this framework to generate new codes with superior parameters to any previously known. In particular, we find ((10,18,3)) and ((10,20,3)) codes. We also show how to construct encoding circuits for all codes within our framework.
Why This Paper Matters
- This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
- It adds a 2007 reference point for readers tracking recent quantum research.
- We present a unifying approach to quantum error correcting code design that encompasses additive (stabilizer) codes, as well as all known examples of nonadditive codes with...
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.