On uniqueness of quantum measurement theory

TL;DR

This paper explores the foundational structure of quantum mechanics, emphasizing the uniqueness of its postulates, especially the Born rule and von Neumann projection, and their implications for quantum measurement theory.

Contribution

It provides a theoretical analysis demonstrating the fixed nature of the Born rule and the von Neumann projection within quantum measurement, highlighting their fundamental roles.

Findings

Born rule fixed by nonexistence of quantum telepathy

Von Neumann projection describes state transformation during measurement

Projection postulate as transition to conditional probability

Abstract

The paper discuss the structure of quantum mechanics and uniqueness of its postulates. The Born rule for quantum probabilities is fixed by requirement of nonexistence of quantum telepathy. Von Neumann projection postulate describes the transformation of quantum state under the condition of no-interaction measurement. Projection postulate could be considered as transition to conditional probability under the condition of a certain result of quantum measurement.