Correlations between Detectors Allow Violation of the Heisenberg Noise-Disturbance Principle for Position and Momentum Measurements

Abstract

Heisenberg formulated a noise-disturbance principle stating that there is a tradeoff between noise and disturbance when a measurement of position and a measurement of momentum are performed sequentially, and another principle imposing a limitation on the product of the uncertainties in a joint measurement of position and momentum. We prove that the former, the Heisenberg sequential noise-disturbance principle, holds when the detectors are assumed to be initially uncorrelated from each other, but that it can be violated for some properly correlated initial preparations of the detectors.

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• Physical Review Letters - View
• arXiv (Cornell University) - View - PDF
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