You're viewing papers too quickly. Please wait a moment.<br>This helps keep the archive available for everyone.

Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Quantum Error Correction Fault Tolerance Quantum Simulation

Higher-dimensional quantum hypergraph-product codes

arXiv

Authors: Weilei Zeng, Leonid P. Pryadko

Year

2018

Paper ID

24274

Status

Preprint

Abstract Read

~2 min

Abstract Words

Citations

N/A

Abstract

We describe a family of quantum error-correcting codes which generalize both the quantum hypergraph-product (QHP) codes by Tillich and Zémor, and all families of toric codes on m-dimensional hypercubic lattices. Similar to the latter, our codes form m-complexes {cal K}_m, with mge2. These are defined recursively, with {cal K}_m obtained as a tensor product of a complex {cal K}_m-1 with a 1-complex parameterized by a binary matrix. Parameters of the constructed codes are given explicitly in terms of those of binary codes associated with the matrices used in the construction.

Why This Paper Matters

This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
It adds a 2018 reference point for readers tracking recent quantum research.
We describe a family of quantum error-correcting codes which generalize both the quantum hypergraph-product (QHP) codes by Tillich and Zémor, and all families of toric codes on...

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.

Become a member Sign in

Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:1810.01519 [2] arXiv https://arxiv.org/abs/1810.01519 [3] Publisher https://arxiv.org/abs/1810.01519

Local Citation Graph (Related-Paper Links)

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0

Likes: 0 Dislikes: 0

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.