UNCERTAINTY RELATIONS AND ERROR RELATIONS IN OPTICAL MEASUREMENTS OPTOPHYSICAL MEASUREMENTS
Vadim I. Smirnov
Abstract
We analyze extremal measurement error relations for time and frequency parameters of optical pulses, which are compared with the uncertainty relation. It is shown that the product of the mean-square measurement error limit for a single photon corresponds to the minimum value of ˙/2 in the quantum uncertainty relation for time-energy (coordinate-momentum) and decreases with deviation from a Gaussian pulse shape, for which the information entropy is maximal. The error relation is in the form of the uncertainty relation with the inequality reversed.