9 papers · 1 filter
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…
Quantum state determinability from local marginals is universally robust
Wenjun Yu, Fei Shi, Giulio Chiribella +1
A fundamental problem in quantum physics is to establish whether a multiparticle quantum state can be uniquely determined from its local marginals. In theory, this problem has been…
Exploring quantum weight enumerators from the -qubit parallelized SWAP test
Fei Shi, Kaiyi Guo, Xiande Zhang +1
Quantum weight enumerators are fundamental tools for analyzing quantum error-correcting codes and multipartite entanglement, offering insights into the existence of quantum error-c…
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…
Linear Programming Bounds on -Uniform States
Yu Ning, Fei Shi, Tao Luo +1
The existence of -uniform states has been a widely studied problem due to their applications in several quantum information tasks and their close relation to combinatorial objec…