Quantum Information and Wave function Collapse

TL;DR

This paper explores how quantum measurement constraints, rooted in Heisenberg relations, lead to information loss about quantum states, causing state collapse and stochastic measurement outcomes.

Contribution

It demonstrates that quantum measurement restrictions inherently cause pure state collapse and prevent discrimination between pure and mixed states.

Findings

Measurement constraints induce pure state collapse.

Pure states appear as stochastic outcomes.

Information about state purity is lost due to quantum restrictions.

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.