5 papers
An exact hierarchy for Lebesgue's universal covering constant and a certified 0.834 lower bound
Shuai Zeng
Posed by Lebesgue in 1914, the universal covering problem asks for the smallest-area planar convex set containing a congruent copy of every set of diameter at most one. We introduc…
Renormalization-group locking of finite anisotropic propagation cones in Yukawa networks
Shuai Zeng
Different field species can begin with finite anisotropic propagation geometries whose principal axes need not coincide. We ask whether local Yukawa interactions on a finite graph…
Postselection-Free Reconstruction of Monitored SPT Flux-Charge Responses
Shuai Zeng
A class of monitored topological invariants compares ordinary and symmetry-twisted quantum trajectories with identical stochastic records, so direct estimation requires exponential…
Thermal Activation of Divergent Distillable Entanglement under Non-Abelian Strong Symmetry
Shuai Zeng
Heating usually destroys quantum entanglement. We show that thermalization constrained to a non-Abelian strong-symmetry sector can instead generate a distillable resource that dive…
Reliability Is Not Free in Universal Quantum Work Extraction
Shuai Zeng
Universal work extraction shows that input-state knowledge is unnecessary to attain the asymptotic free-energy rate. We ask whether this first-order universality extends to reliabi…