3 papers
cs.IT2026
Arithmetic of qudit dimensions governs erasure correction on the Fano plane and stabilizer-state entanglement
Xidan Song, Ruifeng Cao
Qudit codes often inherit the parameters of qubit codes, but not necessarily their correctable erasures. We show that a code encoding one qudit of dimension D into seven such qudit…
math.CO2026
Ordered Ruzsa-Szemeredi Numbers at Matching Size Two
Xidan Song, Ruifeng Cao
Bondy and Szwarcfiter defined as the largest number of edges in an -vertex graph whose edge set partitions into induced copies of ; for the defi…
cs.CE2026
Discrete energy as an exact label-free training objective for finite-element surrogates
Ruifeng Cao, Xidan Song
Supervised training of finite-element (FE) surrogate models requires reference solutions, and each reference solution is obtained by solving the system that the surrogate is intend…