Geometric relations in classical and quantum information theory using the Lambert-Tsallis \(W_q(x)\) function

DOI10.1016/j.cam.2023.115664OpenAlexW4388461503MaRDI QIDQ6145185

J. L. E. da Silva

Publication date: 30 January 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2023.115664

zbMATH Keywords

Fisher distancequantum information metricdisentropy based RényiLambert-Tsallis \(W_q(x)\) function

Mathematics Subject Classification ID

Equilibrium statistical mechanics (82Bxx) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Fisher information distance: a geometrical reading
• Numerical algorithms for use in quantum information.
• Entanglement, mixedness, and \(q\)-entropies
• On the Lambert \(w\) function
• Enhancing eavesdropping detection in quantum key distribution using disentropy measure of randomness
• Applications of the Lambert-Tsallis \(W_q\) function in quantum photonic Gaussian boson sampling
• Relations between observational entropy and other measures based on Tsallis-\(q\) entropy
• The \(R_{q, Q}\) function and the \(q\)-diode
• The Lambert-Tsallis \(W_q\) function
• Radial basis function network using Lambert-Tsallis \(W_q\) function
• Differential geometry of quantum states, observables and evolution
• Generalized quantum entropy
• Introduction to Nonextensive Statistical Mechanics
• Mathematical Foundations of Nonextensive Statistical Mechanics
• Some properties of \(q\)-logarithm and \(q\)-exponential functions in Tsallis statistics

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