Hao–Chung Cheng

most citedExponential Decay of Matrix

Φ

-Entropies on Markov Semigroups with Applications to Dynamical Evolutions of Quantum Ensembles

15 citations · 21 across the 2 of their papers we have counts for

collaborators

2 papers

quant-ph2015★ 15 cited

Exponential Decay of Matrix $Φ$ -Entropies on Markov Semigroups with Applications to Dynamical Evolutions of Quantum Ensembles

Hao-Chung Cheng, Min-Hsiu Hsieh, Marco Tomamichel

In the study of Markovian processes, one of the principal achievements is the equivalence between the $Φ$ -Sobolev inequalities and an exponential decrease of the $Φ$ -entropies. In…

quant-ph2015★ 6 cited

Matrix Poincaré, Φ-Sobolev inequalities, and quantum ensembles

Hao-Chung Cheng, Min-Hsiu Hsieh

Sobolev-type inequalities have been extensively studied in the frameworks of real-valued functions and non-commutative $L_{p}$ spaces, and have proven useful in bounding the…

Exponential Decay of Matrix Φ-Entropies on Markov Semigroups with Applications to Dynamical Evolutions of Quantum Ensembles

Matrix Poincaré, Φ-Sobolev inequalities, and quantum ensembles

Exponential Decay of Matrix $Φ$ -Entropies on Markov Semigroups with Applications to Dynamical Evolutions of Quantum Ensembles