5 citations · 10 across the 11 of their papers we have counts for
12 papers
Hiai--Petz Skew Informations and Sharp Uncertainty Relations for a Single Observable
Gen Kimura
We study intrinsic quantum uncertainty associated with a single observable from the viewpoint of skew information. By relaxing ordinary additivity while retaining the other fundame…
Another Legacy of Andrzej Kossakowski: A Self-Contained Derivation of the GKLS Equation
Gen Kimura
This note is written for the special issue of OSID dedicated to the 50th anniversary of the Gorini--Kossakowski--Lindblad--Sudarshan equation. Its purpose is not to give a comprehe…
Optimal Uncertainty Relations for a Single Observable
Haruki Yamashita, Aina Mayumi, Gen Kimura
Uncertainty relations are usually formulated as trade-offs between two or more observables. Yet the uncertainty of a single observable can already contain an intrinsically quantum…
Universal bound on the Lyapunov spectrum of quantum master equations
Paolo Muratore-Ginanneschi, Gen Kimura, Frederik vom Ende +1
The spectral properties of positive maps are pivotal for understanding the dynamics of quantum systems interacting with their environment. Furthermore, central problems in quantum…
Universal Bound on the Eigenvalues of 2-Positive Trace-Preserving Maps
Frederik vom Ende, Dariusz Chruściński, Gen Kimura +1
We prove an upper bound on the trace of any 2-positive, trace-preserving map in terms of its smallest eigenvalue. We show that this spectral bound is tight, and that 2-positivity i…
A universal constraint for relaxation rates for quantum Markov generators: complete positivity and beyond
Dariusz Chruściński, Frederik vom Ende, Gen Kimura +1
Relaxation rates are key characteristics of quantum processes, as they determine how quickly a quantum system thermalizes, equilibrates, decoheres, and dissipates. While they play…
Tight Generalization of Robertson-Type Uncertainty Relations
Gen Kimura, Aina Mayumi, Haruki Yamashita
We establish the tightest possible Robertson-type preparation uncertainty relation, which explicitly depends on the eigenvalues of the quantum state. The conventional constant $ \t…
Beyond Robertson-Schrödinger: A General Uncertainty Relation Unveiling Hidden Noncommutative Trade-offs
Gen Kimura, Aina Mayumi, Hiromichi Ohno +2
We report a universal improvement to the standard Robertson--Schrödinger uncertainty relation. Our result shows that the Robertson--Schrödinger lower bound can be supplemented by a…
Universal bound on the relaxation rates for quantum Markovian dynamics
Paolo Muratore-Ginanneschi, Gen Kimura, Dariusz Chruściński
Relaxation rates provide important characteristics both for classical and quantum processes. Essentially they control how fast the system thermalizes, equilibrates, {decoheres, and…
Uncertainty relations based on state-dependent norm of commutator
Aina Mayumi, Gen Kimura, Hiromichi Ohno +1
We introduce two uncertainty relations based on the state-dependent norm of commutators, utilizing generalizations of the Böttcher-Wenzel inequality. The first relation is mathemat…
Böttcher-Wenzel inequality for weighted Frobenius norms and its application to quantum physics
Aina Mayumi, Gen Kimura, Hiromichi Ohno +1
By employing a weighted Frobenius norm with a positive matrix , we introduce natural generalizations of the famous Böttcher-Wenzel (BW) inequality. Based on the combination of t…
Universal constraint for relaxation rates of semigroups of qubit Schwarz maps
Dariusz Chruściński, Gen Kimura, Farrukh Mukhamedov
Unital qubit Schwarz maps interpolate between positive and completely positive maps. It is shown that relaxation rates of qubit semigroups of unital maps enjoying Schwarz property…