# Scattering theory of the bifurcation in quantum measurement

## TL;DR

This paper develops a quantum field theory-based model of measurement for a two-level system, explaining how microscopic details influence measurement outcomes and confirming the Born rule through statistical analysis.

## Contribution

It introduces a quantum field theory approach to quantum measurement, clarifying the role of device details in state transitions and outcome probabilities.

## Key findings

- Microscopic device details affect measurement transitions.
- Outcome probabilities align with the Born rule.
- Efficient initial states lead to eigenstates with correct probabilities.

## Abstract

We model quantum measurement of a two-level system $\mu$. Previous obstacles for understanding the measurement process are removed by basing the analysis of the interaction between $\mu$ and the measurement device on quantum field theory. We show how microscopic details of the measurement device can influence the transition to a final state. A statistical analysis of the ensemble of initial states reveals that those initial states that are efficient in leading to a transition to a final state, result in either of the expected eigenstates for $\mu$, with probabilities that agree with the Born rule.