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Uncertainty relations for joint measurements of noncommuting observables
Authors:Masanao Ozawa
Affiliation:

Graduate School of Information Sciences, Tôhoku University, Aoba-ku, Sendai, 980-8579, Japan

Abstract:Universally valid uncertainty relations are proven in a model independent formulation for inherent and unavoidable extra noises in arbitrary joint measurements on single systems, from which Heisenberg's original uncertainty relation is proven valid for any joint measurements with statistically independent noises.
Keywords:Author Keywords: Heisenberg   Uncertainty relation   Uncertainty principle   Joint measurements   Noise   Positive operator-valued measures
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