6 papers
Supersaturation for Eventown via Generator Switching
Zicheng Han, Xiande Zhang, Yuhao Zhao
An eventown family is a family of even-sized subsets of in which every two distinct members have an even-sized intersection. A classical theorem of Berlekamp and Graver shows…
Robust Quantum Extremal Numbers
Wanchen Zhang, Zicheng Han, Xiande Zhang
Absolutely maximally entangled states require every reduction of at most half of the parties to be maximally mixed, a condition that is both rigid and often impossible for qubit sy…
Automated Construction and Verification of Unextendible Product Bases
Zicheng Han, Wanchen Zhang, Fei Shi +1
Unextendible product bases (UPBs) are important structures in quantum information theory, with applications to completely entangled subspaces, bound entanglement, and local indisti…
A five-qubit 1-resistant graph state and stabilizer marginal certificates
Zicheng Han, Wanchen Zhang, Xiande Zhang
We study particle-loss resistant entanglement within the framework of stabilizer and graph states. A pure state is \(m\)-resistant if it remains entangled after the loss of any \(m…
A Hypergraph Container Method for Spread SAT: Approximation and Speedup
Zicheng Han, Yupeng Lin, Jie Ma +1
We develop a hypergraph container method for the Boolean Satisfiability Problem (SAT) via the newly developed container results [Campos and Samotij (2026)]. This provides an explic…
New constructions of multipartite entanglement resistant to particle loss
Wanchen Zhang, Zicheng Han, Fei Shi +1
An entangled state is called m-resistant if it remains entangled after losing an arbitrary subset of mparticles but becomes fully separable after losing any number of particles lar…