33 citations · 54 across the 3 of their papers we have counts for
3 papers
quant-ph2021★ 33 cited
Randomized benchmarking for non-Markovian noise
Pedro Figueroa-Romero, Kavan Modi, Thomas M. Stace +1
Estimating the features of noise is the first step in a chain of protocols that will someday lead to fault tolerant quantum computers. The randomized benchmarking (RB) protocol is…
quant-ph2015★ 15 cited
Exponential Decay of Matrix -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 -Sobolev inequalities and an exponential decrease of the -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 spaces, and have proven useful in bounding the…