Violation of Heisenberg's Measurement-Disturbance Relationship by Weak Measurements

TL;DR

This paper experimentally demonstrates that the traditional Heisenberg measurement-disturbance relationship can be violated using weak measurements, confirming a revised relationship proposed by Ozawa, with significant implications for quantum foundations.

Contribution

The study provides the first experimental violation of Heisenberg's original measurement-disturbance relationship using weak measurements, validating Ozawa's revised formulation.

Findings

Violation of Heisenberg's traditional relationship observed

Confirmation of Ozawa's revised measurement-disturbance relation

Implications for quantum measurement theory and foundations

Abstract

While there is a rigorously proven relationship about uncertainties intrinsic to any quantum system, often referred to as "Heisenberg's Uncertainty Principle," Heisenberg originally formulated his ideas in terms of a relationship between the precision of a measurement and the disturbance it must create. Although this latter relationship is not rigorously proven, it is commonly believed (and taught) as an aspect of the broader uncertainty principle. Here, we experimentally observe a violation of Heisenberg's "measurement-disturbance relationship", using weak measurements to characterize a quantum system before and after it interacts with a measurement apparatus. Our experiment implements a 2010 proposal of Lund and Wiseman to confirm a revised measurement-disturbance relationship derived by Ozawa in 2003. Its results have broad implications for the foundations of quantum mechanics and for practical issues in quantum mechanics.