46 citations · 202 across the 26 of their papers we have counts for
6 papers · 1 filter
Asymptotic Equipartition Theorems in von Neumann algebras
Omar Fawzi, Li Gao, Mizanur Rahaman
The Asymptotic Equipartition Property (AEP) in information theory establishes that independent and identically distributed (i.i.d.) states behave in a way that is similar to unifor…
Sample optimal tomography of quantum Markov chains
Li Gao, Nengkun Yu
A state on a tripartite quantum system forms a Markov chain, i.e., quantum conditional independence, if it can be re…
Relative entropy decay and complete positivity mixing time
Li Gao, Marius Junge, Nicholas LaRacuente +1
We prove that the complete modified logarithmic Sobolev constant of a quantum Markov semigroup is bounded by the inverse of its complete positivity mixing time. For classical Marko…
Complete Modified Logarithmic Sobolev inequality for sub-Laplacian on
Li Gao, Maria Gordina
We prove that the canonical sub-Laplacian on admits a uniform modified log-Sobolev inequality for all its matrix-valued functions, independent of the matrix dimension. This…
Strong Converse for Privacy Amplification against Quantum Side Information
Yu-Chen Shen, Li Gao, Hao-Chung Cheng
We establish a one-shot strong converse bound for privacy amplification against quantum side information using trace distance as a security criterion. This strong converse bound im…
Rapid thermalization of spin chain commuting Hamiltonians
Ivan Bardet, Ángela Capel, Li Gao +3
We prove that spin chains weakly coupled to a large heat bath thermalize rapidly at any temperature for finite-range, translation-invariant commuting Hamiltonians, reaching equilib…