A bound on expectation values and variances of quantum observables via Rényi entropy and Tsallis entropy

DOI10.1142/S0219749921500192OpenAlexW3189471838MaRDI QIDQ5159112

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Publication date: 26 October 2021

Published in: International Journal of Quantum Information (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219749921500192

zbMATH Keywords

boundTsallis entropyRényi entropyquantum observable

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

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• Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints
• Possible generalization of Boltzmann-Gibbs statistics.
• Quantifying quantum coherence based on the generalized \(\alpha\)-\(z\)-relative Rényi entropy
• Relative entropy bounds on quantum, private and repeater capacities
• Bounds on the concavity of quantum entropy
• Entropy as a bound for expectation values and variances of a general quantum mechanical observable
• Sharp Bounds on the Entropy of the Poisson Law and Related Quantities
• Entropy Bounds for Discrete Random Variables via Maximal Coupling

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