5 citations · 10 across the 11 of their papers we have counts for
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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…