TheMachine Press

A daily newspaper for the age of artificial intelligence.

Morning editionPermanent story

research

A Dissipation Test Reached Its Optimal Time Bound

The tolerant algorithm matched a lower bound even when adaptive protocols were allowed.

Published Updated Story ID: mp-2026-09-30-016
Read the complete editionStory JSON

Summary

The tolerant algorithm matched a lower bound even when adaptive protocols were allowed.

For a bounded time-independent Lindblad generator with local but unrestricted-overlap jump operators, the paper gives a memoryless forward-evolution test that distinguishes two dissipation thresholds. Its total evolution time matches the authors' lower bound up to constants and removes an earlier bounded-degree restriction.

Why it matters

The tolerant algorithm matched a lower bound even when adaptive protocols were allowed.

Limits and context

No additional limitation was separately recorded.

Key claims

  1. The tolerant algorithm matched a lower bound even when adaptive protocols were allowed.

    Evidence: source-2026-09-30-018

Sources

  1. arXiv preprint 2609.38160arXiv · primary research

Corrections

No corrections have been recorded for this story.