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Quantum information science has profoundly changed the ways we understand, store, and process information. A major challenge in this field is to look for an efficient means for classifying quantum state. For instance, one may want to…

量子物理 · 物理学 2017-05-03 Yue-Chi Ma , Man-Hong Yung

Motivated by M\"obius transformation for symmetrical points under the generalized circle in complex plane, the system of symmetrical spin coherent states corresponding to antipodal qubit states is introduced. It implies the maximally…

量子物理 · 物理学 2011-07-08 Oktay Pashaev , Zeynep Nilhan Gurkan

We discuss the relation between fermion entanglement and bipartite entanglement. We first show that an exact correspondence between them arises when the states are constrained to have a definite local number parity. Moreover, for arbitrary…

量子物理 · 物理学 2017-06-21 N. Gigena , R. Rossignoli

High-dimensional quantum systems offer a number of advantages in larger information capacity, stronger noise resiliency, higher improved efficiency and accuracy over the qubit systems. In quantum communication the maximally entangled states…

量子物理 · 物理学 2026-04-15 Si-Qi Du , Guo-Zhu Song , Hai-Rui Wei

We show that all multi-partite pure states can, under local operations, be transformed into bi-partite pairwise entangled states in a "lossless fashion": An arbitrary distinguished party will keep pairwise entanglement with all other…

量子物理 · 物理学 2015-05-13 Dong Yang , Jens Eisert

We classify multipartite entanglement in a unified manner, focusing on a duality between the set of separable states and that of entangled states. Hyperdeterminants, derived from the duality, are natural generalizations of entanglement…

量子物理 · 物理学 2007-05-23 Akimasa Miyake , Miki Wadati

A genuinely $N$-partite entangled state may display vanishing $N$-partite correlations measured for arbitrary local observables. In such states the genuine entanglement is noticeable solely in correlations between subsets of particles. A…

We consider the class of (N+1)-partite states suitable for protocols where there is a powerful party, the authority, and the other N parties play the same role, namely the state of their system live in the symmetric Hilbert space. We show…

量子物理 · 物理学 2014-04-10 Carlos E. González Guillén

We analyze sharing Bell-type nonlocal correlation between two distant parties with optical hybrid states comprising a single photon polarization state and a multiphoton coherent state. By deploying entanglement swapping over the coherent…

量子物理 · 物理学 2025-10-01 Subhankar Bera , Soumyakanti Bose , Hyunseok Jeong , Archan S Majumdar

Quantum nonlocality of several four-qubit states is investigated by constructing a new Bell inequality. These include the Greenberger-Zeilinger-Horne (GHZ) state, W state, cluster state, and the state $|\chi>$ that has been recently…

量子物理 · 物理学 2013-05-29 Chunfeng Wu , Ye Yeo , L. C. Kwek , C. H. Oh

Entanglement between three or more parties exhibits a realm of properties unknown to two-party states. Bipartite states are easily classified using the Schmidt decomposition. The Schmidt coefficients of a bipartite pure state encompass all…

量子物理 · 物理学 2008-12-18 Julia Kempe

Generation of entangled state is of paramount importance both from quantum theoretical foundation and technology applications. Entanglement swapping provides an efficient method to generate entanglement in quantum communication protocols.…

量子物理 · 物理学 2020-11-05 Meng Li , Yun Shang

There has been spectacular progress in the field of quantum information in recent decades. The development of this field highlights the importance of the role of entanglement in quantum computing, quantum teleportation and quantum…

量子物理 · 物理学 2009-02-18 Dax Enshan Koh

We report the discovery of two new invariants for three-qubit states which, similarly to the 3-tangle, are invariant under local unitary transformations and permutations of the parties. These quantities have a direct interpretation in terms…

量子物理 · 物理学 2017-01-26 Shuming Cheng , Michael J. W. Hall

We propose a technique to investigate multipartite entanglement in the symmetric subspace. Our approach is to map an $N$-qubit symmetric state onto a bipartite symmetric state of higher local dimension. We show that this mapping preserves…

量子物理 · 物理学 2025-10-07 Carlo Marconi , Satoya Imai

Hypergraph states, a generalization of graph states, constitute a large class of quantum states with intriguing non-local properties and have promising applications in quantum information science and technology. In this paper, we generalize…

量子物理 · 物理学 2018-02-13 Fei-Lei Xiong , Yi-Zheng Zhen , Wen-Fei Cao , Kai Chen , Zeng-Bing Chen

Sharing genuine multipartite entanglement by considering collective use of copies of biseparable states, which are entangled across all bipartitions but lack genuine multipartite entanglement at the single-copy level, plays a central role…

量子物理 · 物理学 2026-01-26 Swati Choudhary , Ujjwal Sen , Saronath Halder

Entangled quantum states share properties that do not have classical analogs, in particular, they show correlations that can violate Bell inequalities. It is therefore an interesting question to see what happens to entanglement measures --…

量子物理 · 物理学 2022-03-08 Giuseppe Mussardo , Jacopo Viti

Entanglement of multipartite systems is studied based on exchange symmetry under the permutation group S_N. With the observation that symmetric property under the exchange of two constituent states and their separability are intimately…

量子物理 · 物理学 2009-05-18 Tsubasa Ichikawa , Toshihiko Sasaki , Izumi Tsutsui , Nobuhiro Yonezawa

Classifying states as entangled or separable is a highly challenging task, while it is also one of the foundations of quantum information processing theory. This task is higly nontrivial even for relatively simple cases, such as two-qutrit…

量子物理 · 物理学 2022-11-08 Marcin Wieśniak