Relative entropic uncertainty relation

Abstract

Quantum uncertainty relations are formulated in terms of relative entropy between distributions of measurement outcomes and suitable reference distributions with maximum entropy. This type of entropic uncertainty relation can be applied directly to observables with either discrete or continuous spectra. We find that a sum of relative entropies is bounded from above in a nontrivial way, which we illustrate with some examples.

arXiv comment10 pages, no figures

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Cited by in corpus (5)

• Detecting continuous variable entanglement in phase space with the $Q$-distribution
• Relative entropic uncertainty relation for scalar quantum fields
• Entropic distinguishability of quantum fields in phase space
• Relative Entropy and Mutual Information in Gaussian Statistical Field Theory
• Information and majorization theory for fermionic phase-space distributions