Adaptive sup-norm estimation of the Wigner function in noisy quantum homodyne tomography
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Publication:1650080
DOI10.1214/17-AOS1586zbMath1393.62136arXiv1506.06941OpenAlexW2614012752MaRDI QIDQ1650080
Karim Lounici, Katia Meziani, Gabriel Peyré
Publication date: 29 June 2018
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.06941
inverse problemRadon transformWigner functionadaptive estimationquantum statequantum homodyne tomography\(\mathbb{L}_{2}\) and \(\mathbb{L}_{\infty}\) risksnonparametric minimax estimation
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Minimax nonparametric estimation of pure quantum states, Wavelet matrix operations and quantum transforms
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