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We present a description of finite dimensional quantum entanglement, based on a study of the space of all convex decompositions of a given density matrix. On this space we construct a system of real polynomial equations describing separable…

量子物理 · 物理学 2008-08-27 J. K. Korbicz , F. Hulpke , A. Osterloh , M. Lewenstein

We study the fully entangled fraction of quantum states. An upper bound is obtained for arbitrary dimensional bipartite systems. This bound is shown to be exact for the case of two-qubit systems. An inequality related the fully entangled…

量子物理 · 物理学 2009-11-13 Ming Li , Shao-Ming Fei , Zhi-Xi Wang

Explicit separable density matrices, for mixed two qubits states, are derived by the use of Hilbert Schmidt decompositions and Peres Horodecki criterion. A strongly separable two qubits mixed state is defined by multiplications of two…

量子物理 · 物理学 2015-10-01 Y. Ben-Aryeh

A general procedure to construct criteria for identifying genuine multipartite continuous variable entanglement is presented. It relies on the proper definition of adequate global operators describing the multipartite system, the positive…

量子物理 · 物理学 2015-12-07 A. Saboia , A. T. Avelar , S. P. Walborn , F. Toscano

Establishing the hybrid entanglement among a growing number of matter and photonic quantum bits is necessary for the scalable quantum computation and long distance quantum communication. Here we demonstrate that charged excitonic complexes…

介观与纳米尺度物理 · 物理学 2014-08-04 M. Khoshnegar , A. Jafari-Salim , M. H. Ansari , A. H. Majedi

We present in detail a statistical approach for the reference-frame-independent detection and characterization of multipartite entanglement based on moments of randomly measured correlation functions. We start by discussing how the…

量子物理 · 物理学 2020-09-23 Andreas Ketterer , Nikolai Wyderka , Otfried Gühne

We review the criteria for separability and quantum entanglement, both in a bipartite as well as a multipartite setting. We discuss Bell inequalities, entanglement witnesses, entropic inequalities, bound entanglement and several features of…

量子物理 · 物理学 2007-05-23 Barbara M. Terhal

Monogamy of entanglement is generally discussed using a bipartite entanglement measure as an upper bound. Here we discuss a new kind of monogamous relation where the upper bound is given by a multipartite measure of entanglement, the…

量子物理 · 物理学 2013-03-27 Marcio F. Cornelio

A complementarity relation is established between the capacity of multiport classical information transmission via quantum states and multiparty quantum correlation measures for three-qubit pure states. The multiparty quantum correlation…

量子物理 · 物理学 2013-04-02 Rabindra Nepal , R. Prabhu , Aditi Sen De , Ujjwal Sen

New kind of matrix inequality known for bipartite system density matrix is obtained for arbitrary density matrix of composite or noncomposite qudit systems including the single qudit state. The examples of two qubit system and qudit with…

量子物理 · 物理学 2019-02-12 V. N. Chernega , O. V. Man'ko , V. I. Man'ko

In the setting of entanglement-assisted quantum error-correcting codes (EAQECCs), the sender and the receiver have access to pre-shared entanglement. Such codes promise better information rates or improved error handling properties.…

量子物理 · 物理学 2024-02-02 Gaojun Luo , Martianus Frederic Ezerman , Markus Grassl , San Ling

Complex forms of quantum entanglement can arise in two qualitatively different ways; either between many qubits or between two particles with higher-than-qubit dimension. While the many-qubit frontier and the high-dimension frontier both…

量子物理 · 物理学 2024-09-24 Gabriele Cobucci , Armin Tavakoli

Entanglement is one of the key resources required for quantum computation, so experimentally creating and measuring entangled states is of crucial importance in the various physical implementations of a quantum computer. In superconducting…

We present a theoretical study of entanglement in ensembles consisting of an arbitrary number of particles. Multipartite entanglement criteria in terms of observables are formulated for a fixed number of particles as well as for systems…

量子物理 · 物理学 2017-06-22 J. Sperling , I. A. Walmsley

The entanglement quantification and classification of multipartite quantum states are two important research fields in quantum information. In this work, we study the entanglement of arbitrary-dimensional multipartite pure states by looking…

量子物理 · 物理学 2013-06-18 Hui Li , Shuhao Wang , Jianlian Cui , Gui-Lu Long

We investigate classification and detection of entanglement of multipartite quantum states in a very general setting, and obtain efficient $k$-separability criteria for mixed multipartite states in arbitrary dimensional quantum systems.…

量子物理 · 物理学 2013-11-26 Ting Gao , Yan Hong , Yao Lu , Fengli Yan

We introduce the notion of maximally multipartite entangled states of n qubits as a generalization of the bipartite case. These pure states have a bipartite entanglement that does not depend on the bipartition and is maximal for all…

量子物理 · 物理学 2008-06-12 Paolo Facchi , Giuseppe Florio , Giorgio Parisi , Saverio Pascazio

In tri-partite systems, there are three basic biseparability, $A$-$BC$, $B$-$CA$ and $C$-$AB$ biseparability according to bipartitions of local systems. We begin with three convex sets consisting of these basic biseparable states in the…

量子物理 · 物理学 2022-04-13 Kil-Chan Ha , Kyung Hoon Han , Seung-Hyeok Kye

We review and generalize the recently introduced framework of entropy vectors for detecting and quantifying genuine multipartite entanglement in high dimensional multicomponent quantum systems. We show that these ideas can be extended to…

量子物理 · 物理学 2013-10-22 Marcus Huber , Martí Perarnau-Llobet , Julio I. de Vicente

The quantitative assessment of the entanglement in multipartite quantum states is, apart from its fundamental importance, a practical problem. Recently there has been significant progress in developing new methods to determine certain…

量子物理 · 物理学 2014-03-17 Christopher Eltschka , Jens Siewert
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