On the energy barrier of hypergraph product codes

Understand

A macroscopic energy barrier is a necessary condition for self-correcting quantum memory.

• In this paper, 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.