Minimax estimation of the Wigner function in quantum homodyne tomography with ideal detectors

DOI10.3103/S1066530707010012zbMath1283.62084arXivmath/0611117MaRDI QIDQ2440593

Yanyan Li

Publication date: 19 March 2014

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611117

zbMATH Keywords

Wigner functionkernel estimatornonparametric statisticsquantum homodyne tomographyminimax efficient rates

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Minimax procedures in statistical decision theory (62C20)

Related Items (7)

Optimal large-scale quantum state tomography with Pauli measurements ⋮ Adaptive sup-norm estimation of the Wigner function in noisy quantum homodyne tomography ⋮ Nonparametric goodness-of fit testing in quantum homodyne tomography with noisy data ⋮ Nonparametric estimation of the purity of a quantum state in quantum homodyne tomography with noisy data ⋮ A note on estimating a smooth monotone regression by combining kernel and density estimates ⋮ A SIMPLE MINIMAX ESTIMATOR FOR QUANTUM STATES ⋮ Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data

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