Quantum

Instability of Markov chains under infinitesimal coherent dissipation

Read full article at source ↗

Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 15/10/2026, 04:13:24 UTC.

Briefings

This article investigates Markov chain stability under infinitesimal coherent dissipation, specifically examining conditional mutual information growth. The authors demonstrate that arbitrarily short, strictly local Lindbladians can generate infinite Markov length from initial product states, challenging the assumption that Lieb-Robinson bounds limit this growth. They also construct strictly local Lindbladians converging rapidly to steady states with algebraically decaying conditional mutual information, showing that long-range correlations do not necessarily imply slow relaxation or phase instability. The study concludes that infinite Markov length does not inherently obstruct phase stability when suitably defined.

Key points

• Arbitrarily short strictly local Lindbladians can generate infinite Markov length from initial product states under local Lindbladian evolution.
• Strictly local Lindbladians can converge rapidly to steady states with algebraically decaying conditional mutual information despite long-range correlations.

Context and limitations

The study relies on theoretical construction within the framework of local Lindbladian evolution; specific numerical simulations or experimental validation are not provided in the evidence.

Generated by Bittrees-hosted qwen35-2b sha256:aaf42c8b7c3c on 15/10/2026, 06:15:29 UTC. Based on publisher-provided feed evidence; may not cover the full original article. Check the source for details.

View archived briefing on IPFS
bafybeiexejtbbcti3jh7cordw5zu7l7g76ping7bzls2552ytuvquji6dq