Correlations between detectors allow violation of the Heisenberg noise-disturbance principle for position and momentum measurements

Antonio Di Lorenzo

doi:10.1103/physrevlett.110.120403

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arXiv · 1212.2815

Correlations between detectors allow violation of the Heisenberg noise-disturbance principle for position and momentum measurements

Antonio Di Lorenzo

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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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Antonio Di Lorenzo. 2013-03-21. Correlations between detectors allow violation of the Heisenberg noise-disturbance principle for position and momentum measurements. https://doi.org/10.1103/physrevlett.110.120403

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