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We present a mapping which associates pure N-qubit states with a polynomial. The roots of the polynomial characterize the state completely. Using the properties of the polynomial we construct a way to determine the separability and the…

量子物理 · 物理学 2015-05-13 H. Mäkelä , A. Messina

We characterize the entanglement contained in a pure three-qubit state via operational entanglement measures. To this end we derive a new decomposition for arbitrary 3-qubit states which is characterized by five parameters (up to local…

量子物理 · 物理学 2012-02-09 J. I. de Vicente , T. Carle , C. Streitberger , B. Kraus

Recently, Meyer and Wallach [D.A. Meyer and N.R. Wallach (2002), J. of Math. Phys., 43, pp. 4273] proposed a measure of multi-qubit entanglement that is a function on pure states. We find that this function can be interpreted as a physical…

量子物理 · 物理学 2007-05-23 Gavin K. Brennen

We show that the entanglement of a $2\times 2$ bipartite state can be improved and maximized probabilistically through single-qubit operations only. An experiment is proposed and it is numerically simulated.

量子物理 · 物理学 2011-07-25 X. -B. Wang , Z. -W. Yu , J. -Z. Hu , F. Nori

We build, using group-theoretic methods, a general framework for approaching multi-particle entanglement. As far as entanglement is concerned, two states of n spin-1/2 particles are equivalent if they are on the same orbit of the group of…

量子物理 · 物理学 2016-10-26 N Linden , S Popescu

In this paper, we investigate how to reduce the number of measurement configurations needed for sufficiently precise entanglement quantification. Instead of analytical formulae, we employ artificial neural networks to predict the amount of…

量子物理 · 物理学 2022-07-20 Jan Roik , Karol Bartkiewicz , Antonín Černoch , Karel Lemr

In this research, the entanglement within two entangled n-qubit systems is analyzed using the one-tangle, two-tangle, and {\pi}-tangle. The findings indicate that for certain quantum states, such as the generalized W state, where the…

量子物理 · 物理学 2026-05-29 Reza Hamzehofi

A class of two-qubit states called X-states are increasingly being used to discuss entanglement and other quantum correlations in the field of quantum information. Maximally entangled Bell states and "Werner" states are subsets of them.…

量子物理 · 物理学 2015-05-13 A. R. P. Rau

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

It has been recently pointed out by Caves, Fuchs, and Rungta that real quantum mechanics (that is, quantum mechanics defined over real vector spaces provides an interesting foil theory whose study may shed some light on just which…

量子物理 · 物理学 2015-06-26 J. Batle , A. R. Plastino , M. Casas , A. Plastino

In the last years, a relationship has been established between the quantum Fisher information (QFI) and quantum entanglement. In the case of two-qubit systems, all pure entangled states can be made useful for sub-shot-noise interferometry…

量子物理 · 物理学 2019-11-11 Stefano Scali , Roberto Franzosi

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 investigate the geometric characterization of pure state bipartite entanglement of $(2\times{D})$- and $(3\times{D})$-dimensional composite quantum systems. To this aim, we analyze the relationship between states and their images under…

量子物理 · 物理学 2007-10-02 Salvatore M. Giampaolo , Fabrizio Illuminati

Maximally entangled bipartite unitary operators or gates find various applications from quantum information to being building blocks of minimal models of many-body quantum chaos, and have been referred to as "dual unitaries". Dual unitary…

量子物理 · 物理学 2020-08-19 Suhail Ahmad Rather , S. Aravinda , Arul Lakshminarayan

The n-qubit real equally weighted states are employed in some quantum algorithms including Deutsch-Jozsa, Grover, Simon, and so on. We qualitatively investigate the entanglement properties of n-qubit real equally weighted states. Firstly,…

量子物理 · 物理学 2012-07-12 Ri Qu , Yanru Bao

Our investigation aims to study the specific role played by entanglement in the quantum computation process, by elaborating an entangled spin model developed within the 'hidden measurement approach' to quantum mechanics. We show that an…

量子物理 · 物理学 2007-05-23 Diederik Aerts , Ellie D'Hondt , Bart D'Hooghe

In this paper, we study the bipartite entanglement of spin coherent states in the case of pure and mixed states. By a proper choice of the subsystem spins, the entanglement for large class of quantum systems is investigated. We generalize…

量子物理 · 物理学 2015-06-12 K. Berrada , A. Mohammadzade , S. Abdel-Khalek , H. Eleuch , S. Salimi

We qualify the entanglement of arbitrary mixed states of bipartite quantum systems by comparing global and marginal mixednesses quantified by different entropic measures. For systems of two qubits we discriminate the class of maximally…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Fabrizio Illuminati , Silvio De Siena

We present the first experimental demonstration of the ''optimal'' and ''universal'' quantum entangling process involving qubits encoded in the polarization of single photons. The structure of the ''quantum entangling machine'' consists of…

量子物理 · 物理学 2009-11-10 Fabio Sciarrino , Francesco De Martini , Vladimir Buzek

We propose a method to characterize and quantify multipartite entanglement for pure states. The method hinges upon the study of the probability density function of bipartite entanglement and is tested on an ensemble of qubits in a variety…

量子物理 · 物理学 2009-11-13 P. Facchi , G. Florio , S. Pascazio