Total, classical, and quantum uncertainty matrices via operator monotone functions

Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Uncertainty relations, also entropic (81S07) Quantum channels, fidelity (81P47)

Cites Work

Metric adjusted skew information and uncertainty relation
On a refinement of Heisenberg uncertainty relation by means of quantum Fisher information
Schrödinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure
Quantum versus classical uncertainty
Non-Hermitian extensions of Heisenberg type and Schrödinger type uncertainty relations
On a correspondence between regular and non-regular operator monotone functions
On the descriptive content of quantum-theoretical kinematics and mechanics.
Zum Heisenbergschen Unschärfeprinzip.
Statistics of local value in quantum mechanics
Monotone metrics on matrix spaces
Non-Hermitian extensions of uncertainty relations with generalized metric adjusted skew information
The uncertainty of quantum channels in terms of variance
An uncertainty view on complementarity and a complementarity view on uncertainty
Classical, quantum and total correlations
Metric adjusted skew information
Entropic uncertainty relations and entanglement
Uncertainty principle and quantum Fisher information. II.
Inequalities for quantum Fisher information
Majorization uncertainty relations for mixed quantum states
Quantum Discord: A Measure of the Quantumness of Correlations
Detecting non-Markovianity via uncertainty relations
INFORMATION CONTENTS OF DISTRIBUTIONS
Generalizations of the Heisenberg and Schrödinger uncertainty relations
Uncertainty and quantum variance at the light of quantum information geometry
Gram matrices of quantum channels via quantum Fisher information with applications to decoherence and uncertainty
From wave-particle duality to wave-particle-mixedness triality: an uncertainty approach
Total, classical and quantum uncertainties generated by channels

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