Quantum

Threshold-Free Symmetry-Enriched Topological Quantum Memory

Read full article at source ↗

Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 06/11/2026, 05:13:24 UTC.

Briefings

A new theoretical framework proposes non-Abelian symmetry enrichment using Sp(N) rotors to protect toric code memory against electric noise at any bond error probability. The study constructs an efficient minimum-weight decoder ensuring logical error probability decays exponentially with system size for N≥40, while ruling out strong-to-weak spontaneous symmetry breaking in the fundamental channel of Sp(N) under local decoherence in two dimensions.

Key points

• The study constructs an efficient minimum-weight decoder for toric code memory on the honeycomb lattice coupled to Sp(N) rotors.
• The decoder ensures logical error probability decays exponentially with system size for N≥40, providing a conservative sufficient bound.

Context

This research addresses quantum memory protection against incoherent electric noise using non-Abelian symmetry enrichment, extending previous work on toric codes to broader symmetries including SU(N).

Limitations

The findings are based on theoretical construction and analysis of the Sp(N) fundamental channel; experimental validation and performance at higher N values remain unverified.

Generated by Bittrees-hosted qwen35-2b sha256:aaf42c8b7c3c on 06/11/2026, 06:08:28 UTC. Based on publisher-provided feed evidence; may not cover the full original article. Check the source for details.

View archived briefing on IPFS
bafybeibwsdyxxujfkh5lgpzn6rhpmnx75uvbm6jre6krrb2o4aynmqlpte