Verification of quantum states and processes requires a reconstruction of density matrices and CP maps that describes them. Together with K.M.R.Audenaert (Royal Holloway College) we are developing a novel quantum tomographic reconstruction method based on Bayesian inference via the Kalman filter update equations that also provides complete information about measurement uncertainties (error bars) [1]. This method allows also for a consistent treatment of imperfect photon detection [2].

[1] K.M.R. Audenaert and S. Scheel, Quantum tomographic reconstruction with error bars: a Kalman filter approach, New J. Phys. 11, 023028 (2009)

[2] K.M.R. Audenaert and S. Scheel, Statistical inference from imperfect photon detection, New J. Phys.  11, 113052 (2009)