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Quantum Uncertainty and Entropy

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abstract

We review the plethora of uncertainty relations that appear in quantum mechanics and their nuances. We present both foundational applications, e.g. in understanding and defining complementarity, and practical applications, e.g. in quantum metrology and cryptography. Both variance- and entropy-based uncertainties are covered here.

fields

quant-ph 1

years

2026 1

verdicts

UNVERDICTED 1

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Tight Entropic Uncertainty Relations

quant-ph · 2026-05-03 · unverdicted · novelty 6.0

A parameterized state-independent entropic uncertainty bound γ_s that is strictly better than Maassen-Uffink and asymptotically tight for all observables as s approaches 2.

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  • Tight Entropic Uncertainty Relations quant-ph · 2026-05-03 · unverdicted · none · ref 3 · internal anchor

    A parameterized state-independent entropic uncertainty bound γ_s that is strictly better than Maassen-Uffink and asymptotically tight for all observables as s approaches 2.