To date, most linear and nonlinear Kalman filters (KFs) have been developed under the Gaussian assumption well-known minimum mean square error (MMSE) criterion. In order to improve robustness with respect impulsive (or heavy-tailed) non-Gaussian noises, maximum correntropy criterion (MCC) has recently used replace MMSE in developing several robust Kalman-type filters. deal more complicated nois...

We study several variations of the question minimum-error discrimination thermal states. Besides providing optimal values for probability error, we also characterize measurements. For case a fixed Hamiltonian, show that general problem measurement is in energy basis Hamiltonian. identify critical temperature, determining whether given temperature best distinguishable from state very high or low...