54 citations · 300 across the 26 of their papers we have counts for
28 papers
Size-Independent Robustness in Multipartite Bell Self-Testing
Shen Cao, Xingjian Zhang, Fei Shi +1
Practical robust self-testing of multipartite entanglement has so far been restricted to small-scale systems due to error bounds that degrade severely with system size. In this wor…
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…
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…
Toward Engineering AGI: Benchmarking the Engineering Design Capabilities of LLMs
Xingang Guo, Yaxin Li, Xiangyi Kong +62
Modern engineering, spanning electrical, mechanical, aerospace, civil, and computer disciplines, stands as a cornerstone of human civilization and the foundation of our society. Ho…
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…
Entanglement detection length of multipartite quantum states
Fei Shi, Lin Chen, Giulio Chiribella +1
Multipartite entanglement is a valuable resource for quantum technologies. However, detecting this resource can be challenging: for genuine multipartite entanglement, the detection…
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…
Unextendible product bases from orthogonality graphs
Fei Shi, Ge Bai, Xiande Zhang +2
Unextendible product bases (UPBs) play a key role in the study of quantum entanglement and nonlocality. A famous open question is whether there exist genuinely unextendible product…
Unextendible and uncompletable product bases in every bipartition
Fei Shi, Mao-Sheng Li, Xiande Zhang +1
Unextendible product basis is an important object in quantum information theory and features a broad spectrum of applications, ranging bound entangled states, quantum nonlocality w…
Strong quantum nonlocality and unextendibility without entanglement in -partite systems with odd
Yiyun He, Fei Shi, Xiande Zhang
A set of orthogonal product states is strongly nonlocal if it is locally irreducible in every bipartition, which shows the phenomenon of strong quantum nonlocality without entangle…
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 for unextendible product bases in heterogeneous systems
Fei Shi, Mao-Sheng Li, Lin Chen +1
A set of multipartite orthogonal product states is strongly nonlocal if it is locally irreducible in every bipartition, which shows the phenomenon of strong quantum nonlocality wit…
Local discrimination of generalized Bell states via commutativity
Mao-Sheng Li, Fei Shi, Yan-Ling Wang
We studied the distinguishability of generalized Bell states under local operations and classical communication. We introduced the concept of maximally commutative set (MCS), subse…
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…
Unextendible product operator basis
Mengyao Hu, Lin Chen, Fei Shi +2
Quantum nonlocality is associated with the local indistinguishability of orthogonal states. Unextendible product basis (UPB), a widely used tool in quantum information, exhibits no…
Strongly nonlocal unextendible product bases do exist
Fei Shi, Mao-Sheng Li, Mengyao Hu +4
A set of multipartite orthogonal product states is locally irreducible, if it is not possible to eliminate one or more states from the set by orthogonality-preserving local measure…
Local distinguishability based genuinely quantum nonlocality without entanglement
Mao-Sheng Li, Yan-Ling Wang, Fei Shi +1
Recently, Halder \emph{et al.} [Phys. Rev. Lett. \textbf{122}, 040403 (2019)] proposed the concept strong nonlocality without entanglement: an orthogonal set of fully product state…
-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…