Bayesian nonparametric estimation for Quantum Homodyne Tomography

We show here how to exploit the stochastic master equation governing ρ t , the conditional state of the quantum filter, to derive a general expression of the likelihood function:

The same problem in the noisy setting was treated by Butucea, Guţă and Artiles (2007), they obtain minimax rates for the pointwise risk over the class A(β, r, L) for the

Key Words: Adaptive estimation, deconvolution, nonparametric estimation, infinitely differentiable functions, exact constants in nonparametric smoothing, minimax risk, quantum

Keywords : density matrix, Gaussian noise, L 2 -risk, nonparametric estimation, pattern functions, quantum homodyne tomography, quantum state, Radon transform, Wigner func- tion..

autobiographique, il convient d’entendre un récit linéaire, on commence par une introduction classique qui narre le point de vue de départ de l’histoire, pour ensuite revenir vers

In the numerical implementation part, we have compared the JMAP method with the results of differents reconstruction methods: simple back-projection, filtered back- projection,

Counting two photons in one beam projects the other beam in the desired two-photon Fock state, which is analyzed by using a pulsed homodyne detection.. The Wigner function of

5, the time dependence of the retrieval efficiency follows the expected Gaussian decay. This Doppler decay could in principle be re- duced by placing the atoms in