# Strong quantum nonlocality for unextendible product bases in heterogeneous systems

@article{Shi2021StrongQN, title={Strong quantum nonlocality for unextendible product bases in heterogeneous systems}, author={Fei Shi and Mao-Sheng Li and Lin Chen and Xiande Zhang}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2021}, volume={55} }

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 without entanglement. It is known that unextendible product bases (UPBs) can show the phenomenon of quantum nonlocality without entanglement. Thus it is interesting to investigate the strong quantum nonlocality for UPBs. Most of the UPBs with the minimum size cannot demonstrate strong quantum nonlocality. In this paper…

## 8 Citations

Strong quantum nonlocality and unextendibility without entanglement in $N$-partite systems with odd $N$

- Mathematics, Physics
- 2022

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 entanglement [Phys. Rev.…

Strong quantum nonlocality in general multipartite quantum systems

- Physics
- 2022

The concept of strong quantum nonlocality is introduced by Halder et. al. in [Phys. Rev. Lett. 122, 040403 (2019)]. An orthogonal set of states in multipartite systems is called to be strong quantum…

Strongly nonlocal unextendible product bases do exist

- Mathematics, PhysicsQuantum
- 2022

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 measurements. An effective…

Bounds on the smallest strong nonlocality set of multipartite quantum states

- Mathematics
- 2022

An orthogonal set of states in multipartite systems is called to be strong quantum nonlocality if it is locally irreducible under every bipartition of the subsystems [Phys. Rev. Lett. 122 , 040403…

Unextendible and uncompletable product bases in every bipartition

- Education
- 2022

Unextendible product basis is an important object in quantum information theory and features a broad spectrum of applications, ranging bound entangled states, quantum nonlocality without…

Constructing unextendible product bases from multiqubit ones

- Physics
- 2022

The construction of multipartite unextendible product bases (UPBs) is a basic problem in quantum information. We respectively construct two families of 2× 2× 4 and 2× 2× 2× 4 UPBs of size eight by…

Strong quantum nonlocality in $N$-partite systems

- Education
- 2022

Fei Shi, ∗ Zuo Ye, † Lin Chen, 4, ‡ and Xiande Zhang § School of Cyber Security, University of Science and Technology of China, Hefei, 230026, People’s Republic of China School of Mathematical…

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