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Quantum Error Correction Fault Tolerance

Proposals for 3D self-correcting quantum memory

arXiv
Authors: Ting-Chun Lin, Hsin-Po Wang, Min-Hsiu Hsieh

Year

2024

Paper ID

37207

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • A self-correcting quantum memory is a type of quantum error correcting code that can correct errors passively through cooling.

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