Topological defects in general quantum LDPC codes
Pak Kau Lim, Kirill Shtengel, Leonid P. Pryadko
TL;DR
This paper explores the structure of quantum information-carrying defects in general quantum LDPC codes, extending topological quantum code concepts beyond locality constraints and discussing their relation to topological entanglement entropy.
Contribution
It introduces a framework for understanding defects in non-local quantum LDPC codes and relates them to topological entanglement measures, broadening the scope of topological quantum error correction.
Findings
Defects in general quantum LDPC codes can carry quantum information.
The structure of these defects relates to topological entanglement entropy.
The work generalizes topological quantum code concepts beyond locality constraints.
Abstract
We consider the structure of defects carrying quantum information in general quantum low-density parity-check (LDPC) codes. These generalize the corresponding constructions for topological quantum codes, without the need for locality. Relation of such defects to (generalized) topological entanglement entropy is also discussed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.