2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132583Information-theoretical restrictions on the information transfer in quantum measurements are studied. They are derived for the measurement of system S by detector D, registrated and processed by information system O. The formalism of inference maps in Hilbert space is used for it; it permit to calculate O restricted state which contains available for O information on S parameters. It's shown that the principal information losses, inevitable in this formalism and induced by Heisenberg commutation relations, stipulate the stochasticity of measurement outcomes, registrated by O in the individual events.9 pages; Latex; more calculations and comments addedQuantum Physicstext