54 citations · 170 across the 16 of their papers we have counts for
4 papers · 1 filter
A Minimum-Cardinality Genuinely Unextendible Product Basis in Three Qutrits
Fei Shi, Ge Bai, Xiande Zhang +2
It has remained an open question whether a genuinely unextendible product basis (GUPB) exists. We resolve this problem by constructing an explicit three-qutrit GUPB of cardinality…
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…
Complete Existence Classification of Seven-Partite Absolutely Maximally Entangled States
Fei Shi, Xiande Zhang, Qi Zhao +1
We prove that an absolutely maximally entangled state of seven qudits exists if and only if the local dimension satisfies . Prior to this work, to the best of our knowledg…
On the Smallest Eigenvalues and Quantum Chromatic Numbers of Hamming Graphs and Generalizations
Yu Ning, Jack H. Koolen, Xiande Zhang
The smallest eigenvalues of (distance-j) Hamming graphs with distance parameter j at least half the length were completely determined by Brouwer et al. (2018). In the present work,…