Newly about reduction, non-locality and no-cloning

TL;DR

This paper explores quantum state reduction, emphasizing the role of measurement processes, non-locality, and the no-cloning theorem, proposing that the interaction parameters of measurement devices influence state collapse and correlations.

Contribution

It introduces a model considering multiple incompatible measurements and the role of the measurer, highlighting how measurement interactions affect quantum state reduction and correlations.

Findings

Measurement of all quantum properties requires multiple incompatible measurement series.

Quantum state reduction depends on the interaction parameters of measurement devices.

Restrictions like Bell's inequalities can be bypassed by considering measurement interactions.

Abstract

The problem of quantum state reduction in the process of measurement has attracted attention of almost everyone who created, developed or explained quantum physics to the students. Absence of a solution is the basis for the statement that the physical laws alone are not enough to describe the reduction of state of the measured particle. In the presented study, it is taken into account that the measurement of all properties of quantum particles can not be carried out in one physical process (the no-cloning theorem). For such a measurement several series of incompatible observations are needed, each series is to be carried out by means of a separate measuring instrument. Each event of measurement is a separate physical process; combination of different measurement events is performed by the Measurer - a subject capable of recognizing or not recognizing different events as similar depending on the purpose of the measurement, and capable as well of planning the measurements, of obtaining results and making conclusions. Several strategies for measuring the quantum state of photon polarization are considered; it is shown that modeling of a mixed state by a set of photon pure states is possible only if for this set in all the measurements the same measuring devices are used. It is also shown that the reduction of the quantum state is determined by the parameters of interaction of the measuring device with the measured particle. This fact removes the restrictions on the magnitudes of correlations of different observables, known as Bell's inequalities.