Quick Navigation

Topics

Quantum Error Correction Fault Tolerance Quantum Machine Learning

New self-dual additive mathbb{F}4-codes constructed from circulant graphs

arXiv
Authors: Markus Grassl, Masaaki Harada

Year

2015

Paper ID

27212

Status

Preprint

Abstract Read

~2 min

Abstract Words

40

Citations

N/A

Abstract

In order to construct quantum [[n,0,d]] codes for (n,d)=(56,15), (57,15), (58,16), (63,16), (67,17), (70,18), (71,18), (79,19), (83,20), (87,20), (89,21), (95,20), we construct self-dual additive mathbb{F}4-codes of length n and minimum weight d from circulant graphs. The quantum codes with these parameters are constructed for the first time.

Why This Paper Matters

  • This paper contributes to the Quantum Machine Learning research area in the Quantum Articles archive.
  • It adds a 2015 reference point for readers tracking recent quantum research.
  • In order to construct quantum [[n,0,d]] codes for (n,d)=(56,15), (57,15), (58,16), (63,16), (67,17), (70,18), (71,18), (79,19), (83,20), (87,20), (89,21), (95,20), we construct...

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

References & Citation Signals

Local Citation Graph (Related-Paper Links)

Current Paper #27212 #69034 Hardware-aware Low-latency Quan... #69036 CARVE-Q: Quantum-Proposed, Clas... #69025 Machine-Learning Optimization a... #69003 QBugLM: An Agentic Benchmarking...

External citation index: OpenAlex citation signal

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.