Quantum

Adaptive Protocol for R\'enyi Entropy Estimation

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Based on a feed excerpt; full article content has not been acquired. Source evidence retrieved 10/11/2026, 08:43:25 UTC.

Briefings

A new arXiv preprint proposes an adaptive protocol for estimating R\'enyi entropy in quantum experiments, optimizing the ratio of basis settings to measurements. The method uses gradient-based optimization starting from a small initial set and converges to values comparable to brute-force grid searches. It demonstrates slower growth of measurement budget for fixed accuracy compared to fixed-ratio protocols, promoting efficiency in shot-limited devices.

Key points

• The adaptive protocol iteratively optimizes the ratio of basis settings to measurements using a gradient-based approach.
• Synthetic data tests show the method converges to values comparable to optimal brute-force grid search results.

Context

R\'enyi entropy is a key quantity for characterizing entanglement in quantum many-body experiments. Estimating it requires careful selection of unitary settings and measurement counts, as current methods struggle with shot-limited devices.

Limitations

The evidence is an arXiv preprint (arXiv:2611.10330v1) with limited scope. Results are based on synthetic data and do not constitute experimental validation on real quantum hardware. Specific performance metrics for real-world shot-limited devices remain unverified.

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