Quantum Information and Wave function Collapse

Abstract

Inofrmation-theoretical restrictions on information transferred in the measurement of object S by information system O are studied. It is shown that such constraints, induced by Heisenberg commutation relations, result in the loss of information about the purity of S state. Consequently, it becomes impossible for O to discriminate pure and mixed S states. In individual events this effect is manifested by the stochastic outcomes of pure S state measurement, i.e. the collapse of pure S state.