The determination of bounds of the \(\beta\)-entropic sum of two noncommuting observables

DOI10.1016/S0034-4877(01)80051-3zbMath0978.81006MaRDI QIDQ5945642

Vladimir Majernik, E. Majerníková

Publication date: 4 February 2002

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

variational methoddispersion measureHavrda-Charvat \(\beta\)-entropyShannon entropyspin-\({1\over 2}\) particleuncertainty measures

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15) Measures of information, entropy (94A17)

Related Items (6)

Bounds of the Pinsker and Fannes types on the Tsallis relative entropy ⋮ Fano type quantum inequalities in terms of \(q\)-entropies ⋮ Notes on entropic uncertainty relations beyond the scope of Riesz's theorem ⋮ Entropic uncertainty relations—a survey ⋮ Entropic uncertainty relations and entanglement ⋮ Upper continuity bounds on the relative q-entropy for q > 1

Cites Work

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• On measures of information and their characterizations
• Possible generalization of Boltzmann-Gibbs statistics.
• The Sobolev inequality and the Tsallis entropic uncertainty relation
• The R-norm information measure
• Superspace geometry: the exact uncertainty relationship between complementary aspects
• States of minimal joint uncertainty for complementary observables in three-dimensional Hilbert space

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