Tighter sum uncertainty relations based on metric-adjusted skew information

R Ren, P Li, M Ye, Y Li - Physical Review A, 2021 - APS
Uncertainty principle is one of the most essential features of quantum mechanics, and it
reveals the intrinsic difference that distinguishes the quantum world from the classical world …

Quantifying coherence relative to channels via metric-adjusted skew information

Y Sun, N Li, S Luo - Physical Review A, 2022 - APS
In terms of the metric-adjusted skew information (an important and versatile class of
quantum Fisher information), which generalizes the seminal Wigner-Yanase skew …

Skew informations from an operational view via resource theory of asymmetry

R Takagi - Scientific reports, 2019 - nature.com
Abstract The Wigner-Yanase skew information was proposed to quantify the information
contained in quantum states with respect to a conserved additive quantity, and it was later …

Some general properties of unified entropies

AE Rastegin - Journal of Statistical Physics, 2011 - Springer
Basic properties of the unified entropies are examined. The consideration is mainly
restricted to the finite-dimensional quantum case. Bounds in terms of ensembles of quantum …

Average coherence and entropy

Y Fan, N Li, S Luo - Physical Review A, 2023 - APS
Quantum coherence is one of the characteristic features of quantum mechanics and
underpins many quantum mysteries. To eliminate the influence of the reference basis on the …

Sum uncertainty relations based on metric-adjusted skew information

L Cai - Quantum Information Processing, 2021 - Springer
We show that the sum uncertainty relations for Wigner–Yanase skew information introduced
in Chen et al.(Quantum Inf Process 15: 2639–2648, 2016) can hold for an arbitrary metric …

Relations for certain symmetric norms and anti-norms before and after partial trace

AE Rastegin - Journal of Statistical Physics, 2012 - Springer
Abstract Changes of some unitarily invariant norms and anti-norms under the operation of
partial trace are examined. The norms considered form a two-parametric family, including …

A unified approach to local quantum uncertainty and interferometric power by metric adjusted skew information

P Gibilisco, D Girolami, F Hansen - Entropy, 2021 - mdpi.com
Local quantum uncertainty and interferometric power were introduced by Girolami et al. as
geometric quantifiers of quantum correlations. The aim of the present paper is to discuss …

Uncertainty relation based on metric-adjusted skew information with quantum memory

R Ren, Y Li - Laser Physics, 2022 - iopscience.iop.org
The uncertainty principle is one of the most essential features of quantum mechanics.
Recently, uncertainty relations of skew information have been widely studied. In this paper …

[HTML][HTML] Operator monotonicity of some functions

M Nagisa, S Wada - Linear Algebra and its Applications, 2015 - Elsevier
Operator monotonicity of some functions - ScienceDirect Skip to main contentSkip to article
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