Entropic uncertainty relations in multidimensional position and momentum spaces

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.

v2: close to the published version

References in corpus (3)

• Entanglement detection
• Correlation Matrices of Two-Mode Bosonic Systems
• Multimode uncertainty relations and separability of continuous variable states

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