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Author

Premanshu Chatterjee

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Preprint Sep 2026

Uniqueness, Cram\'er-Rao Efficiency and Concentration Bounds for Quantum U-Statistics

We study unbiased estimation of scalar-valued polynomial functionals of quantum states from independent copies. We establish an equivalence between the first-order marginal of a permutation-invariant finite-copy observable and the functional gradient. We then prove that, among unbiased permutation-invariant estimators,...

Ayanava Dasgupta, Naqueeb Ahmad Warsi, Premanshu Chatterjee · 0 citations
Preprint Sep 2026

Uniqueness and Cram\'er-Rao Efficiency of Quantum U-Statistics

We study unbiased estimation of scalar-valued polynomial functionals of quantum states from independent copies. We establish an equivalence between the first-order marginal of a permutation-invariant finite-copy observable and the functional gradient. We then prove that, among unbiased permutation-invariant estimators,...

Ayanava Dasgupta, Naqueeb Ahmad Warsi, Premanshu Chatterjee · 0 citations

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