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We study solvable spin chains where either fields or couplings vary linearly in space and create a sandwich-like structure of the ground state. We find that the entanglement entropy between two halves of a chain varies logarithmically with…

统计力学 · 物理学 2009-11-13 V. Eisler , F. Igloi , I. Peschel

We study entanglement in a system of three coupled quantum harmonic oscillators. Specifically, we use the Schmidt decomposition to analyze how the entanglement is distributed among the three subsystems. The Schmidt decomposition is a…

量子物理 · 物理学 2024-09-30 Abdeldjalil Merdaci , Ahmed Jellal

We analyze theoretically the many-body dynamics of a dissipative Ising model in a transverse field using a variational approach. We find that the steady state phase diagram is substantially modified compared to its equilibrium counterpart,…

统计力学 · 物理学 2017-09-29 Vincent R. Overbeck , Mohammad F. Maghrebi , Alexey V. Gorshkov , Hendrik Weimer

An asymptotic entanglement measure for any bipartite states is derived in the light of the dense coding capacity optimized with respect to local quantum operations and classical communications. General properties and some examples with…

量子物理 · 物理学 2015-06-26 Tohya Hiroshima

Multipartite entanglement is an essential resource for quantum communication, quantum computing, quantum sensing, and quantum networks. The utility of a quantum state, $|\psi\rangle$, for these applications is often directly related to the…

量子物理 · 物理学 2022-01-05 Jacob L. Beckey , N. Gigena , Patrick J. Coles , M. Cerezo

We explore the structure of multipartite quantum systems which are entangled in multiple degrees of freedom. We find necessary and sufficient conditions for the characterization of tripartite systems and necessary conditions for any number…

量子物理 · 物理学 2013-01-16 Marcus Huber , Julio I. de Vicente

We analyze the quantum phase transitions taking place in a one-dimensional transverse field Ising model with long-range couplings that decay algebraically with distance. We are interested in the Kibble-Zurek universal scaling laws emerging…

量子物理 · 物理学 2019-09-25 Ricardo Puebla , Oliver Marty , Martin B. Plenio

We investigate the relation between the entanglement properties of a quantum state and its energy for macroscopic spin models. To this aim, we develop a general method to compute energy bounds for states without certain forms of…

量子物理 · 物理学 2007-05-23 Otfried Gühne , Geza Toth

We present a measure of entanglement that can be computed effectively for any mixed state of an arbitrary bipartite system. We show that it does not increase under local manipulations of the system, and use it to obtain a bound on the…

量子物理 · 物理学 2009-11-07 G. Vidal , R. F. Werner

We present a method to detect entanglement partitions of multipartite quantum systems, by exploiting their inherent symmetries. Structures like genuinely multipartite entanglement, $m$-separability and entanglement depth are detected as…

量子物理 · 物理学 2025-11-19 Albert Rico , Dmitry Grinko , Robin Krebs , Lin Htoo Zaw

A new formulation called as entanglement measure for simplification, is presented to characterize genuine tripartite entanglement of $(2\times 2\times n)-$dimensional quantum pure states. The formulation shows that the genuine tripartite…

量子物理 · 物理学 2008-12-05 Chang-shui Yu , He-shan Song , Hai-tao Cui

The inhomogeneous transverse field Ising models mainly impurity based and the joint chain are analysed analytically using Jordan-Wigner transformations. The effects of inhomogeneities on the phase transition have been discussed in detail.…

量子物理 · 物理学 2018-12-19 Abhijit P. Chaudhari , Rajeev Singh , Sunil K. Mishra

Scrambling unitary dynamics in a quantum system transmutes local quantum information into a non-local web of correlations which manifests itself in a complex spatio-temporal pattern of entanglement. In such a context, we show there can…

量子物理 · 物理学 2025-06-02 Alan Sherry , Sthitadhi Roy

Preparation of a non-classically correlated state is the first step of any quantum-enhanced interferometric protocol. An efficient method is the one-axis twisting, which entangles a collection of initially uncorrelated particles by means of…

量子物理 · 物理学 2015-10-28 K. Gietka , P. Szankowski , T. Wasak , J. Chwedenczuk

We present a new measure of entanglement for mixed states. It can be approximately computable for every state and can be used to quantify all different types of multipartite entanglement. We show that it satisfies the usual properties of a…

量子物理 · 物理学 2007-05-23 Fernando G. S. L. Brandao , Reinaldo O. Vianna

The quantum entanglement $E$ of a bipartite quantum Ising chain is compared with the mutual information $I$ between the two parts after a local measurement of the classical spin configuration. As the model is conformally invariant, the…

统计力学 · 物理学 2015-06-11 Jaegon Um , Hyunggyu Park , Haye Hinrichsen

A convergent iterative procedure is proposed for the calculation of the relative entropy of entanglement of a given bipartite quantum state. When this state turns out to be non-separable the algorithm provides the corresponding optimal…

量子物理 · 物理学 2009-11-07 Jaroslav Rehacek , Zdenek Hradil

In quantum physics, multiparticle systems are described by quantum states acting on tensor products of Hilbert spaces. This product structure leads to the distinction between product states and entangled states; moreover, one can quantify…

量子物理 · 物理学 2026-03-06 Lisa T. Weinbrenner , Albert Rico , Kenneth Goodenough , Xiao-Dong Yu , Otfried Gühne

We propose a phase-space Wigner harmonics entropy measure for many-body quantum dynamical complexity. This measure, which reduces to the well known measure of complexity in classical systems and which is valid for both pure and mixed states…

量子物理 · 物理学 2010-10-22 Vinitha Balachandran , Giuliano Benenti , Giulio Casati , Jiangbin Gong

We develop a method for visualizing the internal structure of multipartite entanglement in pure stabilizer states. Our algorithm graphically organizes the many-body correlations in a hierarchical structure. This provides a rich taxonomy…

量子物理 · 物理学 2025-07-15 Vaibhav Sharma , Erich J Mueller