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math.CO2025
The codegree Turán density of tight cycles
Jie Ma, Mingyuan Rong
The codegree Turán density of a -uniform hypergraph is the minimum real number such that every -uniform hypergraph on sufficiently many vertices, in w…
math.CO2025
Recent advances in arrow relations and traces of sets
Mingze Li, Jie Ma, Mingyuan Rong
The arrow relation, a central concept in extremal set theory, captures quantitative relationships between families of sets and their traces. Formally, the arrow relation $(n, m) \r…
quant-ph2025
Prescriptive preparation and verification of nonstabilizer states
Jian Li, Ye-Chao Liu, Xiao-Xiao Chen +6
High-fidelity quantum state preparation is a central task in quantum information science. In practice, it is commonly guided either by full quantum state tomography, which becomes…