Complexity of measurement of a qubit pair

Abstract

Analysis of the process of accumulation of the results of measurements shows that the success of this process substantially depends on the possibility of coordination of actions of two participants of the process - preparator who prepares the series of the states being measured and registrator who chooses in each event of measurement one of incompatible observables. A new value, the complexity of measurement of a state, is used, this characterizes the number of the measurement events needed for solution of the reconstruction problem. By means of this value it is shown that the dependence of the upper limit of the needed number of measurements on the permissible error is a square law one, so a twofold decrease of permissible error corresponds to a fourfold increase of needed number of measurements.