Entropic uncertainty relations in multidimensional position and momentum spaces

Details Entropic uncertainty relations in multidimensional position and momentum spaces Entropic uncertainty relations in multidimensional position and momentum spaces

2011-01-15

arxiv.org/abs/1101.2944v1

Physical Review A 83, 052124 (2011)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.83.052124

Commutator-based entropic uncertainty relations in multidimensional position and momentum spaces are derived, twofold generalizing previous entropic uncertainty relations for one-mode states. The lower bound in the new relation is optimal, and the new entropic uncertainty relation implies the famous variance-based uncertainty principle for multimode states. The article concludes with an open conjecture.

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