Quantifying quantum coherence based on the generalized \(\alpha\)-\(z\)-relative Rényi entropy

DOI10.1007/s11128-019-2291-9zbMath1504.81038arXiv1905.01769OpenAlexW2942869766MaRDI QIDQ2100828

Xue-Na Zhu, Shao-Ming Fei, Zhi-Xiang Jin

Publication date: 25 November 2022

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01769

zbMATH Keywords

quantum coherencecoherence quantificationthe generalized \(\alpha\)-\(z\)-relative Rényi entropy

Mathematics Subject Classification ID

Coherent states (81R30) Measures of information, entropy (94A17) Logic with extra quantifiers and operators (03C80) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (10)

Quantumness of pure-state ensembles via coherence of Gram matrix based on generalized \(\alpha\)-\(z\)-relative Rényi entropy ⋮ Geometry of skew information-based quantum coherence ⋮ Coherence and complementarity based on modified generalized skew information ⋮ \(\alpha\)-\(z\)-Rényi relative entropy related quantities and their preservers ⋮ Tsallis relative α entropy of coherence dynamics in Grover′s search algorithm ⋮ Quantifying the quantumness of ensembles via generalized \(\alpha\)-\(z\)-relative Rényi entropy ⋮ A bound on expectation values and variances of quantum observables via Rényi entropy and Tsallis entropy ⋮ Skew information-based coherence generating power of quantum channels ⋮ Estimating coherence with respect to general quantum measurements ⋮ Average skew information-based coherence and its typicality for random quantum states

Cites Work

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• Measuring coherence with entanglement concurrence
• Stationary quantum coherence and transport in disordered networks
• α-z-Rényi relative entropies
• Sandwiched Rényi divergence satisfies data processing inequality

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