Energy Barrier of Hypergraph Product Codes.

Authors

Guangqi Zhao, Andrew C Doherty, Isaac H Kim

Published in

Physical review letters. Volume 134. Issue 18. Pages 180601. May 09, 2025.

Abstract

A macroscopic energy barrier is a necessary condition for self-correcting quantum memory. In this Letter, we prove tight bounds on the energy barrier applicable to any quantum code obtained from the hypergraph product of two classical codes. If the underlying classical codes are low-density parity-check codes (LDPC), the energy barrier of the quantum code is shown to be the minimum energy barrier of the underlying classical codes (and their transposes) up to an additive O(1) constant.

PMID:
40408667
Bibliographic data and abstract were imported from PubMed on 24 May 2025.

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