6 papers
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 2-copy distillable if and only i…
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…
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…
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. When the source and the target channels are idempotent, we give a single-letter expr…
Modified logarithmic Sobolev inequalities for CSS codes
Sebastian Stengele, Ãngela Capel, Ángela Capel +9
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…