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Quantum Model Certification Cost Tied to Measurement Correlation, Not Parameters

This paper delves into the computational cost of certifying quantum models, proposing that measurement correlation, rather than parameter count, is the key factor. The research outlines a formula for estimating the circuit executions needed to achieve a specific Frobenius error, considering variables like readout variance and gradient norm. The study also analyzes how different quantum circuit families and hardware configurations, such as IBM Marrakesh and IBM Kingston, impact this certification cost, suggesting that fixed device connectivity can lead to overestimation of costs on larger machines. AI

IMPACT Provides a theoretical framework for understanding the computational resources required for quantum model verification.

RANK_REASON This is a research paper published on arXiv detailing theoretical findings about quantum models. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Quantum Model Certification Cost Tied to Measurement Correlation, Not Parameters

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This is a research paper published on arXiv detailing theoretical findings about quantum models. [lever_c_demoted from research: ic=1 ai=0.4]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Pavel Sulimov, Claude Lehmann ·

    Certification cost of quantum models: measurement correlation, not parameter count

    arXiv:2609.14424v1 Announce Type: cross Abstract: Reporting the Fisher geometry of a trained variational quantum model is routine; quoting the shot budget that would establish it is not. Certifying an empirical Fisher matrix to relative Frobenius error $\varepsilon$ under coordin…