1 citations · 1 across the 6 of their papers we have counts for
8 papers
Conditioning on Subalgebras - Entropy Duality and Generalized Quantum Stein's Lemma in von Neumann Algebras
Bjarne Bergh, Li Gao, Mizanur Rahaman
We establish duality relations for conditional entropies relative to subalgebras of arbitrary von Neumann algebras, including the Umegaki relative entropy as well as the sandwiched…
Tight Entropy Contraction of Generalized Quantum Depolarization
Li Gao, Long Zhao
We establish upper and lower bounds for relative entropy contraction of generalized quantum depolarizing channels and semigroups. Our bound provides tight first order asymptotic of…
A solution to 2-copy distillability of Werner states
Jinshi Fu, Li Gao, Sang-Jun Park
Entanglement distillation is a fundamental task in quantum information theory. In this work, we prove that Werner states in arbitrary dimension are -copy distillable if and only…
Emulation Capacity between Idempotent Channels
Idris Delsol, Omar Fawzi, Li Gao +1
We study the optimal rates of emulation (also called interconversion) between quantum channels, in three regimes: when the encoder and the decoder are unassisted, when they share c…
Dimension-free maximal inequalities for noncommutative spherical means over cyclic groups
Li Gao, Bang Xu
In this paper, we establish dimension-free -estimates for operator-valued maximal spherical means over cyclic groups for all and . The key ingredien…
Modified logarithmic Sobolev inequalities for CSS codes
Sebastian Stengele, Ángela Capel, Li Gao +5
We consider the class of Davies quantum semigroups modelling thermalization for translation-invariant Calderbank-Shor-Steane (CSS) codes in D dimensions. We prove that conditions o…
Reverse-type Data Processing Inequality
Paula Belzig, Li Gao, Graeme Smith +1
The quantum data processing inequality asserts that two quantum states become harder to distinguish when a noisy channel is applied. On the other hand, a reverse quantum data proce…
Generalized Stein's lemma and asymptotic equipartition property for subalgebra entropies
Li Gao, Mizanur Rahaman
The quantum Stein's lemma is a fundamental result of quantum hypothesis testing in the context of distinguishing two quantum states. The ``generalized quantum Stein's lemma'' asser…