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Entropic uncertainty relations in multidimensional position and momentum spaces (1101.2944v2)
Published 15 Jan 2011 in quant-ph
Abstract: Commutator-based entropic uncertainty relations in multidimensional position and momentum spaces are derived, twofold generalizing previous entropic uncertainty relations for one-mode states. They provide optimal lower bounds and imply the multidimensional variance-based uncertainty principle. The article concludes with an open conjecture.
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