Nonparametric estimation of the purity of a quantum state in quantum homodyne tomography with noisy data
From MaRDI portal
Publication:926979
DOI10.3103/S1066530707040047zbMath1140.62092arXivmath/0611512OpenAlexW2952891618MaRDI QIDQ926979
Publication date: 21 May 2008
Published in: Mathematical Methods of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0611512
Radon transformWigner functiondeconvolutionadaptive estimationminimax riskinfinitely differentiable functionsquantum statequadratic functional estimation
Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Applications of statistics to physics (62P35) Quantum optics (81V80)
Related Items
Minimax nonparametric estimation of pure quantum states, 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, Quadratic functional estimation in inverse problems
Cites Work
- Unnamed Item
- Unnamed Item
- Minimax theory of image reconstruction
- Sharp adaptive estimation of quadratic functionals
- Speed of estimation in positron emission tomography and related inverse problems
- Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data
- On estimation of the \(L_r\) norm of a regression function
- Estimating nonquadratic functionals of a density using Haar wavelets
- On optimal adaptive estimation of a quadratic functional
- Efficient estimation of a density in a problem of tomography.
- Adaptive estimation of integrated functionals
- Estimation of integral functionals of a density
- Minimax estimation of the Wigner function in quantum homodyne tomography with ideal detectors
- Goodness-of-fit testing and quadratic functional estimation from indirect observations
- Rates of convergence for nonparametric deconvolution
- Measuring Quantum Entanglement without Prior State Reconstruction
- Sharp Optimality in Density Deconvolution with Dominating Bias. II
- Quantum and classical tomography with equidistant reference angles
- On Quantum Statistical Inference
- An Invitation to Quantum Tomography
