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We characterize entanglement subject to its definition over real and complex, composite quantum systems. In particular, a method is established to assess quantum correlations with respect to a selected number system, illuminating the deeply…

Entanglement is a striking feature of quantum mechanics, and it has a key property called unextendibility. In this paper, we present a framework for quantifying and investigating the unextendibility of general bipartite quantum states.…

量子物理 · 物理学 2024-03-28 Kun Wang , Xin Wang , Mark M. Wilde

We investigate genuinely entangled $N$-qubit states with no $N$-partite correlations in the case of symmetric states. Using a tensor representation for mixed symmetric states, we obtain a simple characterization of the absence of…

量子物理 · 物理学 2017-10-05 S. Designolle , O. Giraud , J. Martin

In this paper, we present a new approach to study genuine tripartite entanglement existing in $(2\times 2\times n)-$dimensional quantum pure states. By utilizing the approach, we introduce a particular quantity to measure genuine tripartite…

量子物理 · 物理学 2008-12-05 Chang-shui Yu , He-shan Song , Ya-hong Wang

Characterizing entanglement of systems composed of multiple particles is a very complex problem that is attracting increasing attention across different disciplines related to quantum physics. The task becomes even more complex when the…

量子物理 · 物理学 2026-02-12 Shuheng Liu , Qiongyi He , Marcus Huber , Giuseppe Vitagliano

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

Not all entangled states can exhibit quantum steering, and determining whether a given entangled state is steerable is a crucial problem in quantum information theory. The main challenge lies in verifying the existence of a local…

量子物理 · 物理学 2025-12-29 Yanning Jia , Fenzhuo Guo , Mengyan Li , Haifeng Dong , Fei Gao

A bipartite state which is secretly chosen from a finite set of known entangled pure states cannot be immediately useful in standard quantum information processing tasks. To effectively make use of the entanglement contained in this unknown…

量子物理 · 物理学 2015-05-14 Yangjia Li , Runyao Duan , Mingsheng Ying

Werner states are multipartite quantum states that are invariant under the diagonal conjugate action of the unitary group. This paper gives a complete characterization of their entanglement that is independent of the underlying local…

量子物理 · 物理学 2022-11-22 Felix Huber , Igor Klep , Victor Magron , Jurij Volčič

The states of three-qubit systems split into two inequivalent types of genuine tripartite entanglement, namely the Greenberger-Horne-Zeilinger (GHZ) type and the $W$ type. A state belonging to one of these classes can be stochastically…

量子物理 · 物理学 2019-08-19 Gokhan Torun , Ali Yildiz

Genuine 3-qubit entanglement comes in two different inconvertible types represented by the Greenberger-Horne-Zeilinger (GHZ) state and the W state. We describe a specific method based on local positive operator valued measures and classical…

量子物理 · 物理学 2009-11-11 P. Walther , K. J. Resch , A. Zeilinger

Recently, it has been argued that quantum mechanics is a complete theory, and that different quantum states do necessarily correspond to different elements of reality, under the assumptions that quantum mechanics is correct and that…

量子物理 · 物理学 2015-06-23 Giancarlo Ghirardi , Raffaele Romano

We prove that any three linearly independent pure quantum states can always be locally distinguished with nonzero probability regardless of their dimension, entanglement, or multipartite structure. Almost always, all three states can be…

量子物理 · 物理学 2015-06-26 Somshubhro Bandyopadhyay , Jonathan Walgate

Quantum information science has leaped forward with the exploration of high-dimensional quantum systems, offering greater potential than traditional qubits in quantum communication and quantum computing. To advance the field of…

We propose an explicit formula for an entanglement measure of pure multipartite quantum states, then study a general pure tripartite state in detail, and at end we give some simple but illustrative examples on four-qubits and m-qubits…

量子物理 · 物理学 2016-08-16 Hoshang Heydari , Gunnar Björk

Choosing four entangled stets to form an orthogonal and complete basis for a two-particle system, we argue that a local hidden variable model should give the probability of each entangled state if the two-particle system is described by a…

量子物理 · 物理学 2009-11-07 Xiao-Hua Wu , HongShi Zong , Hou-Rong Pang , Fan Wang

We demonstrate a multipartite protocol to securely distribute and reconstruct a quantum state. A secret quantum state is encoded into a tripartite entangled state and distributed to three players. Any two of the three players are able to…

量子物理 · 物理学 2009-11-10 Andrew M. Lance , Thomas Symul , Warwick P. Bowen , Barry C. Sanders , Ping Koy Lam

We discuss the relation between entanglement and nonlocality in the hidden nonlocality scenario. Hidden nonlocality signifies nonlocality that can be activated by applying local filters to a particular state that admits a local…

量子物理 · 物理学 2020-02-12 Lucas Tendick , Hermann Kampermann , Dagmar Bruß

We derive a formal connection between quantum data hiding and quantum privacy, confirming the intuition behind the construction of bound entangled states from which secret bits can be extracted. We present three main results. First, we show…

量子物理 · 物理学 2018-02-21 Matthias Christandl , Roberto Ferrara

Bipartite quantum states are classified into three categories: separable states, bound entangled states, and free entangled states. It is of great importance to characterize these families of states for the development of quantum…

量子物理 · 物理学 2007-05-23 Tohya Hiroshima