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The Single-Copy Quantum Bandit Collapsed to a Classical Strategy

Adaptive measurements could not beat spectral measurement plus classical KL-UCB at leading order.

Published Updated Story ID: mp-2026-10-01-017
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Summary

Adaptive measurements could not beat spectral measurement plus classical KL-UCB at leading order.

For finite-dimensional bandits whose arms emit quantum states, the paper proves that measuring each copy in the known reward effect's spectral basis and then running classical KL-UCB is asymptotically instance-optimal within the single-copy policy class. Improvements would require measurements outside that class.

Why it matters

Adaptive measurements could not beat spectral measurement plus classical KL-UCB at leading order.

Limits and context

No additional limitation was separately recorded.

Key claims

  1. Adaptive measurements could not beat spectral measurement plus classical KL-UCB at leading order.

    Evidence: source-2026-10-01-019

Sources

  1. arXiv preprint 2609.40339arXiv · primary research

Corrections

No corrections have been recorded for this story.