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