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We study the entanglement properties of random pure stabilizer states in spin-1/2 particles. For two contiguous groups of spins of arbitrary size we obtain a compact and exact expression for the probability distribution for the entanglement…

量子物理 · 物理学 2007-05-23 Oscar Dahlsten , Martin B. Plenio

What is the relation between spin squeezing and entanglement? To clarify this, we derive the full set of generalized spin squeezing inequalities for the detection of entanglement. These are inequalities for the mean values and variances of…

量子物理 · 物理学 2009-05-08 Geza Toth , Christian Knapp , Otfried Gühne , Hans J. Briegel

We present conditions every measure of entanglement has to satisfy and construct a whole class of 'good' entanglement measures. The generalization of our class of entanglement measures to more than two particles is straightforward. We…

量子物理 · 物理学 2009-01-23 V. Vedral , M. B. Plenio , M. A. Rippin , P. L. Knight

A complete set of generalized spin-squeezing inequalities is derived for an ensemble of particles with an arbitrary spin. Our conditions are formulated with the first and second moments of the collective angular momentum coordinates. A…

量子物理 · 物理学 2015-01-27 Giuseppe Vitagliano , Iagoba Apellaniz , Inigo L. Egusquiza , Geza Toth

We determine the complete set of generalized spin squeezing inequalities. These are entanglement criteria that can be used for the experimental detection of entanglement in a system of spin-1/2 particles in which the spins cannot be…

量子物理 · 物理学 2011-11-09 Geza Toth , Christian Knapp , Otfried Gühne , Hans J. Briegel

Entanglement is considered to be one of the most profound features of quantum mechanics. An entangled state of a system consisting of two subsystems cannot be described as a product of the quantum states of the two subsystems. In this sense…

量子物理 · 物理学 2009-11-07 Brian Julsgaard , Alexander Kozhekin , Eugene S. Polzik

We discuss the detection of entanglement in interacting quantum spin systems. First, thermodynamic Hamiltonian-based witnesses are computed for a general class of one-dimensional spin-1/2 models. Second, we introduce optimal bipartite…

量子物理 · 物理学 2009-11-10 L. -A. Wu , S. Bandyopadhyay , M. S. Sarandy , D. A. Lidar

Analyzing the properties of entanglement in many-particle spin-1/2 systems is generally difficult because the system's Hilbert space grows exponentially with the number of constituent particles, $N$. Fortunately, it is still possible to…

量子物理 · 物理学 2007-05-23 John K. Stockton , JM Geremia , Andrew C. Doherty , Hideo Mabuchi

We explore the relation between entanglement entropy of quantum many body systems and the distribution of corresponding, properly selected, observables. Such a relation is necessary to actually measure the entanglement entropy. We show that…

统计力学 · 物理学 2009-11-11 Israel Klich , Gil Refael , Alessandro Silva

Entanglement measures quantify nonclassical correlations present in a quantum system, but can be extremely difficult to calculate, even more so, when information on its state is limited. Here, we consider broad families of entanglement…

量子物理 · 物理学 2021-07-07 Matteo Fadel , Ayaka Usui , Marcus Huber , Nicolai Friis , Giuseppe Vitagliano

We define a polynomial measure of multiparticle entanglement which is scalable, i.e., which applies to any number of spin-1/2 particles. By evaluating it for three particle states, for eigenstates of the one dimensional Heisenberg…

量子物理 · 物理学 2015-06-26 David A. Meyer , Nolan R. Wallach

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

It is generally believed that dispersive polarimetric detection of collective angular momentum in large atomic spin systems gives rise to: squeezing in the measured observable, anti-squeezing in a conjugate observable, and collective spin…

量子物理 · 物理学 2009-10-21 Ben Q. Baragiola , Bradley A. Chase , JM Geremia

We propose a new approach to the problem of defining the degree of entanglement between two particles in a pure state with Hilbert spaces of arbitrary finite dimensions. The central idea is that entanglement gives rise to correlations…

量子物理 · 物理学 2007-05-23 Markus A. Cirone

We quantify the geometric measure of entanglement in terms of mean values of observables of entangled system. For pure states we find the relation of geometric measure of entanglement with the mean value of spin one-half for the system…

量子物理 · 物理学 2017-10-11 A. M. Frydryszak , M. I. Samar , V. M. Tkachuk

We show how entanglement may be quantified in spin and cold atom many-body systems using standard experimental techniques only. The scheme requires no assumptions on the state in the laboratory and a lower bound to the entanglement can be…

量子物理 · 物理学 2013-05-29 M. Cramer , M. B. Plenio , H. Wunderlich

For any mean value of a cartesian component of a spin vector we identify the smallest possible uncertainty in any of the orthogonal components. The corresponding states are optimal for spectroscopy and atomic clocks. We show that the…

量子物理 · 物理学 2009-11-06 Anders Sorensen , Klaus Molmer

We determine the complete set of generalized spin squeezing inequalities, given in terms of the collective angular momentum components, for particles with an arbitrary spin. They can be used for the experimental detection of entanglement in…

量子物理 · 物理学 2015-01-27 Giuseppe Vitagliano , Philipp Hyllus , Inigo L. Egusquiza , Geza Toth

We study entanglement and other correlation properties of random states in high-dimensional bipartite systems. These correlations are quantified by parameters that are subject to the "concentration of measure" phenomenon, meaning that on a…

量子物理 · 物理学 2007-05-23 Patrick Hayden , Debbie W. Leung , Andreas Winter

An inversion method is formulated for extracting entanglement-related information on two-particle interactions in a one-dimensional system from measurable one-particle position- and momentum-distribution functions. The method is based on a…

量子物理 · 物理学 2017-01-31 I. Nagy , M. L. Glasser
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