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

Description
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 noisedisturbance principle, does not hold.