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eess.SY2026
Explicit Separators for Consecutive Levels of Parrilo's Sum-of-Squares Hierarchy over the Copositive Cone
Jiachen Shen, Hui Zhong
Parrilo's cones $\Kc{n}{r}$ form a nested sequence of semidefinite-representable inner approximations of the copositive cone $\COP_n$. For their union is all of $\COP_5$, yet…
eess.SY2026
A conditional no-go for resource-free magic-axis measurement on a static surface code
Jiachen Shen, Hui Zhong
Under stated assumptions, a static surface-code patch that adds no fold or \mbox{self-dual} structure cannot perform the magic-axis check that magic-state cultivation relies on whi…