Verification of the Born rule via direct measurement of superposition wavefunction

TL;DR

This paper proposes a feasible experimental method using weak value-based direct measurement to verify the Born rule, a fundamental axiom of quantum mechanics, directly through superposition wavefunction measurement.

Contribution

It introduces a novel approach for directly testing the Born rule using weak measurements, which has not been demonstrated before.

Findings

Feasibility of weak value-based direct measurement of superposition wavefunction

Suggested experimental setup for verifying the Born rule

Potential to provide direct experimental validation of a foundational quantum axiom

Abstract

The Born rule, which is one of foundational axioms of quantum theory, states that the probability of obtain outcome $a$ for the quantum state $|\psi\rangle$ is determined by $P(a)=|\langle a|\psi\rangle|^{2}$. Despite its great success in predicting the experimental outcomes, there still lacks a direct way to verify the Born rule. Here, we show that the weak value based direct measurement of superposition wavefunction is feasible, which can be used to verify the Born rule directly. The plausible experiment is suggested.