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Multipartite entanglement determines the strength and range of interactions in many-body quantum systems. Yet, it is hard to evaluate it, due to the complex structures of quantum states. Here, we introduce a generic method to quantify the k…

量子物理 · 物理学 2026-02-16 Francois Payn , Michele Minervini , Davide Girolami

This paper presents a new measure of entanglement which can be employed for multipartite entangled systems. The classification of multipartite entangled systems based on this measure is considered. Two approaches to applying this measure to…

量子物理 · 物理学 2018-08-20 Seyed Arash Sheikholeslam , Thomas Aaron Gulliver

We propose a entanglement measure for pure $M \otimes N$ bipartite quantum states. We obtain the measure by generalizing the equivalent measure for a $2 \otimes 2$ system, via a $2 \otimes 3$ system, to the general bipartite case. The…

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

Interaction with environment may lead to the transition of quantum system from pure state to the mixed one. In this case, the problem of definition of entanglement may arise. In particular, quantitative measure of entanglement concurrence…

量子物理 · 物理学 2008-09-16 Levan Chotorlishvili

Amount of entanglement carried by a quantum bipartite state is usually evaluated in terms of concurrence (see Ref. 1). We give a physical interpretation of concurrence that reveals a way of its direct measurement and discuss possible…

量子物理 · 物理学 2016-08-16 Alexander Klyachko , Barış Öztop , Alexander S. Shumovsky

A method is proposed to characterize and quantify multipartite entanglement in terms of the probability density function of bipartite entanglement over all possible balanced bipartitions of an ensemble of qubits. The method is tested on a…

量子物理 · 物理学 2007-05-25 P. Facchi , G. Florio , S. Pascazio

In this contribution we present a concise introduction to quantum entanglement in multipartite systems. After a brief comparison between bipartite systems and the simplest non-trivial multipartite scenario involving three parties, we review…

量子物理 · 物理学 2024-09-10 Pawel Horodecki , Łukasz Rudnicki , Karol Życzkowski

Quantifying entanglement is vital to understand entanglement as a resource in quantum information processing, and many entanglement measures have been suggested for this purpose. When mathematically defining an entanglement measure, we…

量子物理 · 物理学 2024-03-12 Minjin Choi , Eunok Bae , Soojoon Lee

Entanglement is a unique nature of quantum theory and has tremendous potential for application. Nevertheless, the complexity of quantum entanglement grows exponentially with an increase in the number of entangled particles. Here we…

量子物理 · 物理学 2018-01-17 S. M. Zangi , Jun-Li Li , Cong-Feng Qiao

We introduce the challenges of multi-party quantum entanglement and explain a recent success in learning to take its measure. Given the widely accepted reputation of entanglement as a counter-intuitive feature of quantum theory, we first…

量子物理 · 物理学 2023-11-21 Songbo Xie , J. H. Eberly

We discuss entanglement of multiparticle quantum systems. We propose a potential measure of a type of entanglement of pure states of n qubits, the n-tangle. For a system of two qubits the n-tangle is equal to the square of the concurrence,…

量子物理 · 物理学 2009-11-06 Alexander Wong , Nelson Christensen

We introduce a protocol to classify three-qubit pure states into different entanglement classes and implement it on an NMR quantum processor. The protocol is designed in such a way that the experiments performed to classify the states can…

量子物理 · 物理学 2024-11-07 Vaishali Gulati , Arvind , Kavita Dorai

We use concurrence as an entanglement measure and experimentally demonstrate the entanglement classification of arbitrary three-qubit pure states on a nuclear magnetic resonance (NMR) quantum information processor. Computing the concurrence…

量子物理 · 物理学 2018-10-29 Amandeep Singh , Kavita Dorai , Arvind

For a given pure state of a composite quantum system we analyze the product of its projections onto a set of locally orthogonal separable pure states. We derive a bound for this product analogous to the entropic uncertainty relations. For…

量子物理 · 物理学 2015-05-28 Łukasz Rudnicki , Paweł Horodecki , Karol Życzkowski

Measurement of entanglement remains an important problem for quantum information. We present the design and simulation of an experimental method for entanglement estimation for a general multiqubit state. The system can be in a pure or a…

量子物理 · 物理学 2012-11-09 E. C. Behrman , J. E. Steck

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…

量子物理 · 物理学 2011-12-08 Julio I. de Vicente , Marcus Huber

In this work we study the entanglement of pure fourpartite of qubit states. The analysis is realized through the comparison between two different entanglement measures: the Groverian entanglement measure and the residual entanglement…

量子物理 · 物理学 2009-02-04 David Sena Oliveira , Rubens Viana Ramos

We derive a classification and a measure of classical- and quantum-correlation of multipartite qubit, qutrit, and in general, $n$-level systems, in terms of SU$(n)$ representations of density matrices. We compare the measure for the case of…

量子物理 · 物理学 2010-10-26 Y. B. Band , I. Osherov

Entanglement is at the heart of most quantum information tasks, and therefore considerable effort has been made to find methods of deciding the entanglement content of a given bipartite quantum state. Here, we prove a fundamental limitation…

量子物理 · 物理学 2016-06-15 Claudio Carmeli , Teiko Heinosaari , Antti Karlsson , Jussi Schultz , Alessandro Toigo

We show that entanglement of pure multi-party states can be quantified by means of quantum uncertainties of certain basic observables through the use of measure that has been initially proposed in [10] for bipartite systems.

量子物理 · 物理学 2016-08-16 Alexander A. Klyachko , Barış Öztop , Alexander S. Shumovsky