46 citations · 202 across the 26 of their papers we have counts for
27 papers
Tight entropy contraction beyond detailed balance
Li Gao, Jingyu Guo
We establish quantitative entropy contraction bounds for finite-dimensional quantum channels beyond detailed balance. For channels compatible with a faithful conditional expectatio…
Quantum Entropy Contraction and Factorization from Hypercontractivity
Li Gao, Lijun Wang
We prove that hypercontractivity implies entropy contraction for a single quantum channel, without a detailed balance condition. For primitive quantum Markov semigroups that are KM…
Entropy Uncertainty Relations and Strong Sub-additivity of Quantum Channels
Li Gao, Marius Junge, Nicholas LaRacuente
We prove an entropic uncertainty relation for two quantum channels, extending the work of Frank and Lieb for quantum measurements. This is obtained via a generalized strong super-a…
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…
Entropy decay for Davies semigroups of a one dimensional quantum lattice
Ivan Bardet, Ángela Capel, Li Gao +3
Given a finite-range, translation-invariant commuting system Hamiltonians on a spin chain, we show that the Davies semigroup describing the reduced dynamics resulting from the join…
Ricci curvature of quantum channels on non-commutative transportation metric spaces
Li Gao, Cambyse Rouzé
Following Ollivier's work, we introduce the coarse Ricci curvature of a quantum channel as the contraction of non-commutative metrics on the state space. These metrics are defined…
On a tracial version of Haemers bound
Li Gao, Sander Gribling, Yinan Li
We extend upper bounds on the quantum independence number and the quantum Shannon capacity of graphs to their counterparts in the commuting operator model. We introduce a von Neuma…
Geometric Approach Towards Complete Logarithmic Sobolev Inequalities
Li Gao, Marius Junge, Haojian Li
In this paper, we use the Carnot-Caratheodory distance from sub-Riemanian geometry to prove entropy decay estimates for all finite dimensional symmetric quantum Markov semigroups.…
Complete entropic inequalities for quantum Markov chains
Li Gao, Cambyse Rouzé
We prove that every GNS-symmetric quantum Markov semigroup on a finite dimensional matrix algebra satisfies a modified log-Sobolev inequality. In the discrete time setting, we prov…
Complete Logarithmic Sobolev Inequalities via Ricci Curvature Bounded Below II
Michael Brannan, Li Gao, Marius Junge
Using a non-negative curvature condition, we prove the complete version of modified log-Sobolev inequalities for central Markov semigroups on various compact quantum groups, includ…
Complete Logarithmic Sobolev inequalities via Ricci curvature bounded below
Michael Brannan, Li Gao, Marius Junge
We prove that for a symmetric Markov semigroup, Ricci curvature bounded from below by a non-positive constant combined with a finite -mixing time implies the modified log…
Recoverability for optimized quantum -divergences
Li Gao, Mark M. Wilde
The optimized quantum -divergences form a family of distinguishability measures that includes the quantum relative entropy and the sandwiched Rényi relative quasi-entropy as spe…
Quantum Majorization on Semifinite von Neumann Algebras
Priyanga Ganesan, Li Gao, Satish K. Pandey +1
We extend Gour et al's characterization of quantum majorization via conditional min-entropy to the context of semifinite von Neumann algebras. Our method relies on a connection bet…
Relative entropy for von Neumann subalgebras
Li Gao, Marius Junge, Nicholas LaRacuente
We revisit the connection between index and relative entropy for an inclusion of finite von Neumann algebras. We observe that the Pimsner-Popa index connects to sandwiched Renyi $p…
Quantum Euclidean Spaces with Noncommutative Derivatives
Li Gao, Marius Junge, Edward McDonald
Quantum Euclidean spaces, as Moyal deformations of Euclidean spaces, are the model examples of noncompact noncommutative manifold. In this paper, we study the quantum Euclidean spa…
Fisher Information and Logarithmic Sobolev Inequality for Matrix Valued Functions
Li Gao, Marius Junge, Nicolas LaRacuente
We prove a version of Talagrand's concentration inequality for subordinated sub-Laplacian on a compact Riemannian manifold using tools from noncommutative geometry. As an applicati…
Unifying Entanglement with Uncertainty via Symmetries of Observable Algebras
Li Gao, Marius Junge, Nicholas LaRacuente
Strong subadditivity goes beyond the tensored subsystem and commuting operator models. As previously noted by Petz and later by Araki and Moriya, two subalgebras of observables sat…
Quantum Teleportation and Super-dense Coding in Operator Algebras
Li Gao, Samuel J. Harris, Marius Junge
Let be the unital -algebra generated by the elements , satisfying the relations that is a unitary operator, and let…
Heralded Channel Holevo Superadditivity Bounds from Entanglement Monogamy
Li Gao, Marius Junge, Nicholas LaRacuente
We show that for a particular class of quantum channels, which we call heralded channels, monogamy of squashed entanglement limits the superadditivity of Holevo capacity. Heralded…