Monotonic decrease of the quantum nonadditive divergence by projective measurements

Abstract

Nonadditive (nonextensive) generalization of the quantum Kullback-Leibler divergence, termed the quantum q-divergence, is shown not to increase by projective measurements in an elementary manner.

10 pages, no figures. Errors in the published version are corrected

References in corpus (10)

• Axioms and uniqueness theorem for Tsallis entropy
• Single-photon quantum nondemolition detectors constructed with linear optics and projective measurements
• Nonadditive conditional entropy and its significance for local realism
• Implications of Form Invariance to the Structure of Nonextensive Entropies
• Generalized non-additive entropies and quantum entanglement
• Separability and correlations in composite states based on entropy methods
• Generalized entropic criterion for separability
• Nonadditive measure and quantum entanglement in a class of mixed states of N^n-system
• Separable-entangled frontier in a bipartite harmonic system
• Frontier between separability and quantum entanglement in a many spin system

Cited by in corpus (17)

• Fundamental properties of Tsallis relative entropy
• Validity of the second law in nonextensive quantum thermodynamics
• Geometry of escort distributions
• Nonadditive generalization of the quantum Kullback-Leibler divergence for measuring the degree of purification
• Bounding generalized relative entropies: Nonasymptotic quantum speed limits
• Quantifying the imaginarity of quantum states via Tsallis relative entropy
• Quantum Correlation with Sandwiched Relative Entropies: Advantageous as Order Parameter in Quantum Phase Transitions
• Upper continuity bounds on the relative $q$-entropy for $q>1$
• Quantum realism: axiomatization and quantification
• Tsallis relative $\alpha$ entropy of coherence dynamics in Grover's search algorithm
• Coherence dynamics in quantum algorithm for linear systems of equations
• Quantifying the imaginarity via different distance measures
• Coherence and Imaginarity as Resources in Quantum Circuit Complexity
• Coherence and entanglement dynamics in Shor's algorithm
• Uncertainty relations for unified ($\alpha$,$\beta$)-relative entropy of coherence under mutually unbiased equiangular tight frames
• Axiomatic approach to measures of total correlations
• Uncertainty-disturbance relations and applications