Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data
含噪量子零差层析中 Wigner 函数的极小极大与自适应估计
We estimate the quantum state of a light beam from results of quantum homodyne measurements performed on identically prepared quantum systems. The state is represented through the Wigner function, a generalized probability density on ℝ2 which may take negative values and must respect intrinsic positivity constraints imposed by quantum physics. The effect of the losses due to detection inefficiencies, which are always present in a real experiment, is the addition to the…