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quant-ph2025
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…
math.OA2025
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…
quant-ph2025
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…