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 measurement.
- Received 4 July 2012
- Publisher error corrected 23 October 2012
DOI:https://doi.org/10.1103/PhysRevLett.109.100404
© 2012 American Physical Society
Corrections
23 October 2012
Erratum
Publisher’s Note: Violation of Heisenberg’s Measurement-Disturbance Relationship by Weak Measurements [Phys. Rev. Lett. 109, 100404 (2012)]
Lee A. Rozema, Ardavan Darabi, Dylan H. Mahler, Alex Hayat, Yasaman Soudagar, and Aephraim M. Steinberg
Phys. Rev. Lett. 109, 189902 (2012)
Synopsis
SynopsisThe Certainty of Uncertainty
Published 6 September 2012
State of the art quantum measurements show that the original formulation of Heisenberg’s uncertainty principle can be violated.
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