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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. Although such a phenomenon has been shown to any…

量子物理 · 物理学 2024-05-22 Yiyun He , Fei Shi , Xiande Zhang

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)]. Although this property has been shown in three-, four- and…

量子物理 · 物理学 2022-02-18 Fei Shi , Zuo Ye , Lin Chen , Xiande Zhang

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 product set (OPS) are limited to tripartite systems, and they…

量子物理 · 物理学 2021-10-19 Fei Shi , Mao-Sheng Li , Mengyao Hu , Lin Chen , Man-Hong Yung , Yan-Ling Wang , Xiande Zhang

Quantum nonlocality is usually associated with entangled states by their violations of Bell-type inequalities. However, even unentangled systems, whose parts may have been prepared separately, can show nonlocal properties. In particular, a…

量子物理 · 物理学 2019-02-06 Saronath Halder , Manik Banik , Sristy Agrawal , Somshubhro Bandyopadhyay

In multipartite systems, great progress has been made recently on the study of strong quantum nonlocality without entanglement. However, the existence of orthogonal product sets with strong quantum nonlocality in even party systems remains…

量子物理 · 物理学 2023-04-27 Huaqi Zhou , Ting Gao , Fengli Yan

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 states in multipartite quantum systems that is locally…

量子物理 · 物理学 2021-10-27 Mao-Sheng Li , Yan-Ling Wang , Fei Shi , Man-Hong Yung

In this paper, we generalize the concept of strong quantum nonlocality from two aspects. Firstly in $\mathbb{C}^d\otimes\mathbb{C}^d\otimes\mathbb{C}^d$ quantum system, we present a construction of strongly nonlocal quantum states…

量子物理 · 物理学 2020-11-04 Pei Yuan , Guojing Tian , Xiaoming Sun

Recently, Halder \emph{et al.} [S. Halder \emph{et al.}, Phys. Rev. Lett. \textbf{122}, 040403 (2019)] present two sets of strong nonlocality of orthogonal product states based on the local irreducibility. However, for a set of locally…

量子物理 · 物理学 2020-07-27 Zhi-Chao Zhang , Guojing Tian , Tian-Qing Cao

Strong quantum nonlocality was introduced recently as a stronger manifestation of nonlocality in multipartite systems through the notion of local irreducibility in all bipartitions. Known existence results for sets of strongly nonlocal…

量子物理 · 物理学 2020-10-07 Fei Shi , Mengyao Hu , Lin Chen , Xiande Zhang

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…

量子物理 · 物理学 2022-01-04 Fei Shi , Mao-Sheng Li , Lin Chen , Xiande Zhang

The construction of nonlocal sets of quantum states has attracted much attention in recent years. We first introduce two Lemmas related to the triviality of orthogonality-preserving local measurements. Then we propose a general construction…

量子物理 · 物理学 2023-01-02 Xiao-Fan Zhen , Shao-Ming Fei , Hui-Juan Zuo

In this paper, we investigate the construction of orthogonal product states with strong nonlocality in multiparty quantum systems. Firstly, we focus on the tripartite system and propose a general set of orthogonal product states exhibiting…

量子物理 · 物理学 2020-11-17 Bichen Che , Zhao Dou , Min Lei , Yixian Yang

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…

量子物理 · 物理学 2023-09-13 Mao-Sheng Li , Yan-Ling Wang

Quantum nonlocality based on state discrimination describes the global property of the set of orthogonal states and has a wide range of applications in quantum cryptographic protocols. Strongest nonlocality is the strongest form of quantum…

量子物理 · 物理学 2024-08-15 Hong-Run Li , Hui-Juan Zuo , Fei Shi , Shao-Ming Fei

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 way to prove that a set is locally…

量子物理 · 物理学 2022-01-12 Fei Shi , Mao-Sheng Li , Mengyao Hu , Lin Chen , Man-Hong Yung , Yan-Ling Wang , Xiande Zhang

In this paper, we consider the orthogonal product set (OPS) with strong quantum nonlocality. Based on the decomposition of plane geometry, we present a sufficient condition for the triviality of orthogonality-preserving POVM on fixed…

量子物理 · 物理学 2022-11-23 Huaqi Zhou , Ting Gao , Fengli Yan

In the general bipartite quantum system $m \otimes n$, Wang \emph{et al.} [Y.-L Wang \emph{et al.}, Phys. Rev. A \textbf{92}, 032313 (2015)] presented $3(m+n)-9$ orthogonal product states which cannot be distinguished by local operations…

量子物理 · 物理学 2016-01-13 Zhi-Chao Zhang , Fei Gao , Ya Cao , Su-Juan Qin , Qiao-Yan Wen

Local distinguishability of orthogonal product states is an area of active research in quantum information theory. However, most of the relevant results about local distinguishability found in bipartite quantum systems and very few are…

量子物理 · 物理学 2025-08-21 Atanu Bhunia , Indrani Chattopadhyay , Debasis Sarkar

A set of orthogonal product states of a composite Hilbert space is genuinely nonlocal if the states are locally indistinguishable across any bipartition. In this work, we construct a minimal set of party asymmetry genuine nonlocal set in…

量子物理 · 物理学 2025-08-21 Atanu Bhunia , Indrani Chattopadhyay , Debasis Sarkar

In this paper, we construct genuinely multipartite entangled bases in $(\mathbb{C}^{3})^{\otimes N}$ for $N\geq3$, where every state is one-uniform state. By modifying this construction, we successfully obtain strongly nonlocal orthogonal…

量子物理 · 物理学 2025-03-26 Mengying Hu , Ting Gao , Fengli Yan
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