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We present a family of tri-partite entangled states that, in an asymptotical sense, can be reversibly converted into EPR states shared by only two of parties (say B and C), and tripartite GHZ states. Thus we show that bipartite and genuine…

量子物理 · 物理学 2016-09-08 G. Vidal , W. Dür , J. I. Cirac

We investigate the concentration of multi-party entanglement by focusing on simple family of three-partite pure states, superpositions of Greenberger-Horne-Zeilinger states and singlets. Despite the simplicity of the states, we show that…

量子物理 · 物理学 2007-05-23 Berry Groisman , Noah Linden , Sandu Popescu

We show that not all 4-party pure states are GHZ reducible (i.e., can be generated reversibly from a combination of 2-, 3- and 4-party maximally entangled states by local quantum operations and classical communication asymptotically)…

量子物理 · 物理学 2009-11-06 Shengjun Wu , Yongde Zhang

We describe various results related to the random distillation of multiparty entangled states - that is, conversion of such states into entangled states shared between fewer parties, where those parties are not predetermined. In previous…

量子物理 · 物理学 2013-05-29 Ben Fortescue , Hoi-Kwong Lo

We demonstrate that even under positive partial transpose preserving operations in an asymptotic setting GHZ and W states are not reversibly interconvertible. We investigate the structure of minimal reversible entanglement generating set…

量子物理 · 物理学 2009-11-11 S. Ishizaka , M. B. Plenio

In an effort to simplify the classification of pure entangled states of multi (m) -partite quantum systems, we study exactly and asymptotically (in n) reversible transformations among n'th tensor powers of such states (ie n copies of the…

We consider the transformation of multisystem entangled states by local quantum operations and classical communication. We show that, for any reversible transformation, the relative entropy of entanglement for two parties must remain…

量子物理 · 物理学 2007-05-23 N. Linden , S. Popescu , B. Schumacher , M. Westmoreland

We show that no EPR-like bipartite entanglement can be distilled from a tripartite Haar random state $|\Psi\rangle_{ABC}$ by local unitaries or local operations when each subsystem $A$, $B$, or $C$ has fewer than half of the total qubits.…

量子物理 · 物理学 2026-05-21 Zhi Li , Takato Mori , Beni Yoshida

Bipartite maximally entangled states have the property that the largest Schmidt coefficient reaches its lower bound. However, for multipartite states the standard Schmidt decomposition generally does not exist. We use a generalized Schmidt…

量子物理 · 物理学 2009-11-12 Sayatnova Tamaryan , Tzu-Chieh Wei , DaeKil Park

For a pure state $\psi$ on a composite system $\mathcal{H}_A\otimes\mathcal{H}_B$, both the entanglement cost $E_C(\psi)$ and the distillable entanglement $E_D(\psi)$ coincide with the von Neumann entropy $H(\mathrm{Tr}_{B}\psi)$.…

量子物理 · 物理学 2012-05-22 Wataru Kumagai , Masahito Hayashi

Going beyond the entanglement of microscopic objects (such as photons, spins, and ions), here we propose an efficient approach to produce and control the quantum entanglement of three macroscopic coupled superconducting qubits. By…

量子物理 · 物理学 2009-11-11 L. F. Wei , Yu-xi Liu , Franco Nori

The Greenberger-Horne-Zeilinger (GHZ) argument provides an all-or-nothing contradiction between quantum mechanics and local-realistic theories. In its original formulation, GHZ investigated three and four particles entangled in two…

量子物理 · 物理学 2018-12-14 Manuel Erhard , Mehul Malik , Mario Krenn , Anton Zeilinger

We show that bipartite and tripartite entangled states cannot be used as catalysis states to enable local transformations inbetween inequivalent classes of three-particle entangled states which are non-interchangeable under local…

量子物理 · 物理学 2009-11-11 Iulia Ghiu , Mohamed Bourennane , Anders Karlsson

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

The first characterization of mixed-state entanglement was achieved for two-qubit states in Werner's seminal work [Phys. Rev. A 40, 4277 (1989)]. A physically important extension of this result concerns mixtures of a pure entangled state…

量子物理 · 物理学 2015-06-15 Christopher Eltschka , Jens Siewert

We implemented a triply entangled Greenberger-Horne-Zeilinger(GHZ)-like state and coherently manipulated the spin, path, and energy degrees of freedom in a single neutron system. The GHZ-like state was analyzed with an inequality derived by…

量子物理 · 物理学 2015-05-13 Yuji Hasegawa , Rudolf Loidl , Gerald Badurek , Stephan Sponar , Helmut Rauch

We develop the concept of genuine N-partite Einstein-Podolsky-Rosen (EPR) steering. This nonlocality is the natural multipartite extension of the original EPR paradox. Useful properties emerge that are not guaranteed for genuine…

量子物理 · 物理学 2014-02-18 Q. Y. He , M. D. Reid

The familiar Greenberger-Horne-Zeilinger (GHZ) states can be rewritten by entangling the Bell states for two qubits with a state of the third qubit, which is dubbed entangled entanglement. We show that in this way we obtain all 8…

量子物理 · 物理学 2015-10-06 Gabriele Uchida , Reinhold A. Bertlmann , Beatrix C. Hiesmayr

We provide an example of distillable bipartite mixed state such that, even in the asymptotic limit, more pure-state entanglement is required to create it than can be distilled from it. Thus, we show that the irreversibility in the processes…

量子物理 · 物理学 2009-11-07 G. Vidal , J. I. Cirac

A novel use of Majorana geometric representation brings out distinct entanglement families of permutation symmetric states of qubits. The paradigmatic W and GHZ (Greenberger-Horne-Zeilinger) states of three qubits respectively contain two…

量子物理 · 物理学 2010-02-16 A R Usha Devi , Sudha , A K Rajagopal
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