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We present proper genuine multipartite entanglement (GME) measures for arbitrary multipartite and dimensional systems. By using the volume of concurrence regular polygonal pyramid we first derive the GME measure of four-partite quantum…

Quantum Physics · Physics 2024-08-27 Hui Zhao , Pan-Wen Ma , Shao-Ming Fei , Zhi-Xi Wang

Quantifying genuine entanglement is a crucial task in quantum information theory. Based on the geometric mean of bipartite $\alpha$-concurrences among all bipartitions, we present a class of well-defined genuine multipartite entanglement…

Quantum Physics · Physics 2025-05-12 Ke-Ke Wang , Zhi-Wei Wei , Shao-Ming Fei

We introduce a general framework for detecting genuine multipartite entanglement and non full-separability in multipartite quantum systems of arbitrary dimensions based on correlation tensors. Regarding genuine multipartite entanglement our…

Quantum Physics · Physics 2011-12-08 Julio I. de Vicente , Marcus Huber

We classify quantum gates according to their capability to generate genuine multipartite entanglement (GME), using a hierarchy based on multipartite separable states. In particular, when a fixed unitary operator acts on the set of…

Quantum Physics · Physics 2026-01-19 Mrinmoy Samanta , Sudipta Mondal , Samir Kumar Hazra , Aditi Sen De

We investigate genuine multipartite entanglement in general multipartite systems. Based on the norms of the correlation tensors of a multipartite state under various partitions, we present an analytical sufficient criterion for detecting…

Quantum Physics · Physics 2020-06-09 Jing Yun Zhao , Hui Zhao , Naihuan Jing , Shao-Ming Fei

We derive a general framework to identify genuinely multipartite entangled mixed quantum states in arbitrary-dimensional systems and show in exemplary cases that the constructed criteria are stronger than those previously known. Our…

Quantum Physics · Physics 2013-05-29 Marcus Huber , Florian Mintert , Andreas Gabriel , Beatrix C. Hiesmayr

The standard definition of genuine multipartite entanglement stems from the need to assess the quantum control over an ever-growing number of quantum systems. We argue that this notion is easy to hack: in fact, a source capable of…

Quantum Physics · Physics 2020-12-21 Miguel Navascues , Elie Wolfe , Denis Rosset , Alejandro Pozas-Kerstjens

We study the genuine multipartite entanglement of arbitrary $n$-partite quantum states by representing the density matrices in terms of the generalized Pauli operators. We introduce a general framework for detecting genuine multipartite…

Quantum Physics · Physics 2023-08-08 Yu Lu , Shao-Ming Fei

Absolutely maximally entangled (AME) states of multipartite quantum systems exhibit maximal entanglement across all possible bipartitions. These states lead to teleportation protocols that surpass standard teleportation schemes, determine…

We present a construction of genuinely entangled multipartite quantum states based on the group theory. Analyzed states resemble the Dicke states, whereas the interactions occur only between specific subsystems related by the action of the…

Quantum Physics · Physics 2021-09-01 Adam Burchardt , Jakub Czartowski , Karol Życzkowski

It is a computationally hard task to certify genuine multipartite entanglement (GME). We investigate the relation between the norms of the correlation vectors and the detection of GME for tripartite quantum systems. A sufficient condition…

Quantum Physics · Physics 2017-11-15 Ming Li , Lingxia Jia , Jing Wang , Shuqian Shen , Shao-Ming Fei

We study the feasibility of extracting a pure entangled state of non-complementary, and potentially well separated, regions of a quantum many-body system. It is shown that this can indeed be accomplished in non-equilibrium scenarios as well…

Quantum Physics · Physics 2009-07-14 J. Molina-Vilaplana , H. Wichterich , V. E. Korepin , S. Bose

Genuine multipartite entanglement is a valuable resource in quantum information science, as it exhibits stronger non-locality compared to bipartite entanglement. This non-locality can be exploited in various quantum information protocols,…

Quantum Physics · Physics 2024-09-05 Saesun Kim , Sho Onoe , Alberto M. Marino

The question whether global entanglement of a multiparticle quantum system can be inferred from local properties is of great relevance for the theory of quantum correlations as well as for experimental implementations. We present a method…

Quantum Physics · Physics 2016-03-02 Nikolai Miklin , Tobias Moroder , Otfried Gühne

We address the question of whether or not global entanglement of a quantum state can be inferred from local properties. Specifically, we are interested in genuinely multiparticle entangled states whose two-body marginals are all separable,…

Quantum Physics · Physics 2018-12-05 Marius Paraschiv , Nikolai Miklin , Tobias Moroder , Otfried Gühne

Although genuine multipartite entanglement (GME), as one quantum resource, is indispensable in quantum information processing, most of the existing measures cannot detect GME faithfully. In this paper, we present a novel GME measure, namely…

Quantum Physics · Physics 2024-09-30 Dong-Dong Dong , Li-Juan Li , Xue-Ke Song , Liu Ye , Dong Wang

We propose how to generate genuine multipartite entanglement of electron spin qubits in a chain of quantum dots using the naturally available single-qubit rotations and two-qubit Heisenberg exchange interaction in the system. We show that…

Mesoscale and Nanoscale Physics · Physics 2007-11-14 F. Bodoky , M. Blaauboer

We present a full definition of mixed maximally entangled (MME) states for multipartite systems, generalizing their existing definition for bipartite systems by using multipartite Schmidt decomposition. MME states are a special kind of…

Quantum Physics · Physics 2022-04-01 Samuel R. Hedemann

A complete characterization and quantification of entanglement, particularly the multipartite entanglement, remains an unfinished long-term goal in quantum information theory. As long as the multipartite system is concerned, the relation…

Quantum Physics · Physics 2025-08-20 Yu Guo

We investigate the entanglement properties of pure quantum states describing $n$ qubits. We characterize all multipartite states which can be maximally entangled to local auxiliary systems using controlled operations. A state has this…

Quantum Physics · Physics 2013-05-29 C. Kruszynska , B. Kraus