Quantum uncertainty based on metric adjusted skew information

DOI10.1142/S0219025718500066zbMath1392.94700arXiv1708.00978OpenAlexW2964297616WikidataQ129764022 ScholiaQ129764022MaRDI QIDQ3174720

Liang Cai

Publication date: 18 July 2018

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00978

zbMATH Keywords

quantum entanglementquantum nonlocalityoperator monotone functionsquantum uncertaintymetric adjusted skew information

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Quantum measurement theory, state operations, state preparations (81P15) Measures of information, entropy (94A17)

Related Items (5)

Gram matrices of quantum channels via quantum Fisher information with applications to decoherence and uncertainty ⋮ Sum uncertainty relations based on metric-adjusted skew information ⋮ The Hammersley-Chapman-Robbins inequality for repeatedly monitored quantum system ⋮ Uncertainty relations based on Wigner–Yanase skew information ⋮ Complementary measurement-induced quantum uncertainty based on metric adjusted skew information

Cites Work

• Unnamed Item
• Quantum detection and estimation theory
• Quantum entropy derived from first principles
• Brukner-Zeilinger invariant information
• Superadditivity of Wigner-Yanase-Dyson information revisited
• On a correspondence between regular and non-regular operator monotone functions
• Means of positive linear operators
• Monotone metrics on matrix spaces
• Possible generalization of Boltzmann-Gibbs statistics.
• Entropic uncertainty relations—a survey
• Metric adjusted skew information
• Inequalities for quantum Fisher information
• Operationally Invariant Information in Quantum Measurements
• Wigner–Yanase information on quantum state space: The geometric approach
• Quantum Discord: A Measure of the Quantumness of Correlations
• Measurement-Induced Nonlocality
• Mixed-state entanglement and quantum error correction
• Metric-adjusted skew information: convexity and restricted forms of superadditivity

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