54 citations · 170 across the 16 of their papers we have counts for
17 papers
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,…
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…
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…
Almost all even-particle pure states are determined by their half-body marginals
Wanchen Zhang, Fei Shi, Xiande Zhang
Determining whether the original global state is uniquely determined by its local marginals is a prerequisite for some efficient tools for characterizing quantum states. This paper…
Bounds on -Uniform Quantum States
Fei Shi, Yu Ning, Qi Zhao +1
Do -partite -uniform states always exist when ? In this work, we provide new upper bounds on the parameter for the existence of -uni…
Strong quantum nonlocality in -partite systems
Fei Shi, Zuo Ye, Lin Chen +1
A set of multipartite orthogonal quantum states is strongly nonlocal if it is locally irreducible for every bipartition of the subsystems [Phys. Rev. Lett. 122, 040403 (2019)]. Alt…
Strong quantum nonlocality from hypercubes
Fei Shi, Mao-Sheng Li, Mengyao Hu +4
A set of multipartite orthogonal product states is strongly nonlocal if it is locally irreducible in every bipartition. Most known constructions of strongly nonlocal orthogonal pro…
-Uniform states and quantum information masking
Fei Shi, Mao-Sheng Li, Lin Chen +1
A pure state of parties with local dimension is called a -uniform state if all the reductions to parties are maximally mixed. Based on the connections among -unif…
Strong quantum nonlocality with entanglement
Fei Shi, Mengyao Hu, Lin Chen +1
Strong quantum nonlocality was introduced recently as a stronger manifestation of nonlocality in multipartite systems through the notion of local irreducibility in all bipartitions…
Constructions of -uniform states from mixed orthogonal arrays
Fei Shi, Yi Shen, Lin Chen +1
We study -uniform states in heterogeneous systems whose local dimensions are mixed. Based on the connections between mixed orthogonal arrays with certain minimum Hamming distanc…
Unextendible product bases from tile structures and their local entanglement-assisted distinguishability
Fei Shi, Xiande Zhang, Lin Chen
We completely characterize the condition when a tile structure provides an unextendible product basis (UPB), and construct UPBs of different large sizes in $\mathbb{C}^m\otimes\mat…
Constructions of mutually unbiased entangled bases
Fei Shi, Xiande Zhang, Lin Chen
We construct two mutually unbiased bases by maximally entangled states (MUMEB) in . This is the first example of MUMEB in $\mathbb{C}^{d…
Constructions of unextendible entangled bases
Fei Shi, Xiande Zhang, Yu Guo
We provide several constructions of special unextendible entangled bases with fixed Schmidt number (SUEB) in for $2\leq k\leq d\leq d…