Quantum

Long-range entangled criticality from coherent errors

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Briefings

A new arXiv preprint (2611.03811) reports that coherent errors can drive a phase transition from a clean surface code into a long-range entangled critical regime. The study establishes two general results linking topology, mixed-state entanglement, and Markov length, applying them to the honeycomb surface code. This work connects conditional mutual information to conductance in a Majorana network model, suggesting implications for quantum information stability under noise.

Key points

• Coherent errors can induce a phase transition from the clean surface code phase into an extended long-range entangled critical regime with diverging Markov length.
• The study relates conditional mutual information to conductance in a Majorana network model, providing a new connection between quantum information measures and physical transport properties.

Context

This research addresses the stability of topological quantum codes against coherent noise, a critical challenge for fault-tolerant quantum computing. Understanding how coherent errors drive criticality is essential for predicting code failure modes and developing robust error correction strategies.

Limitations

The findings are based on a single arXiv preprint (2611.03811v1) and apply only to the honeycomb surface code. Results regarding the Majorana network model are presented as a byproduct but lack independent verification or broader validation.

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