Proposals for 3D self-correcting quantum memory
Quantum Physics
2024-11-06 v1 Strongly Correlated Electrons
Abstract
A self-correcting quantum memory is a type of quantum error correcting code that can correct errors passively through cooling. A major open question in the field is whether self-correcting quantum memories can exist in 3D. In this work, we propose two candidate constructions for 3D self-correcting quantum memories. The first construction is an extension of Haah's code, which retains translation invariance. The second construction is based on fractals with greater flexibility in its design. Additionally, we review existing 3D quantum codes and suggest that they are not self-correcting.
Keywords
Cite
@article{arxiv.2411.03115,
title = {Proposals for 3D self-correcting quantum memory},
author = {Ting-Chun Lin and Hsin-Po Wang and Min-Hsiu Hsieh},
journal= {arXiv preprint arXiv:2411.03115},
year = {2024}
}