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Related papers: Entanglement Negativity on Random Spin Networks

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We review some of the recent progress on the study of entropy of entanglement in many-body quantum systems. Emphasis is placed on the scaling properties of entropy for one-dimensional multi-partite models at quantum phase transitions and,…

Statistical Mechanics · Physics 2015-05-13 J. I. Latorre , A. Riera

When a quantum pure state is drawn uniformly at random from a Hilbert space, the state is typically highly entangled. This property of a random state is known as generic entanglement of quantum states and has been long investigated from…

Quantum Physics · Physics 2020-06-23 Yoshifumi Nakata , Mio Murao

Nielsen's approach to quantum state complexity relates the minimal number of quantum gates required to prepare a state to the length of geodesics computed with a certain norm on the manifold of unitary transformations. For a bipartite…

High Energy Physics - Theory · Physics 2024-09-18 Stefano Baiguera , Shira Chapman , Giuseppe Policastro , Tal Schwartzman

Quantum entanglement is usually revealed via a well aligned, carefully chosen set of measurements. Yet, under a number of experimental conditions, for example in communication within multiparty quantum networks, noise along the channels or…

We study holographic aspects of mixed state entanglement measures in various large $N$ top-down as well as bottom-up confining models. For the top-down models, we consider wrapped $D3$ and $D4$ branes gravity solutions whereas, for the…

High Energy Physics - Theory · Physics 2021-01-04 Parul Jain , Subhash Mahapatra

The evolution of $N$ spin-$1/2$ system with all-range Ising-type interaction is considered. For this system we study the entanglement of one spin with the rest spins. It is shown that the entanglement depends on the amount of spins and the…

Quantum Physics · Physics 2018-04-18 A. R. Kuzmak

A study of the artificial neural network representation of quantum many-body states is presented. The locality and entanglement properties of states for shallow and deep quantum neural networks are investigated in detail. By introducing the…

Quantum Physics · Physics 2020-05-15 Zhih-Ahn Jia , Lu Wei , Yu-Chun Wu , Guang-Can Guo , Guo-Ping Guo

Tensor networks impose a notion of geometry on the entanglement of a quantum system. In some cases, this geometry is found to reproduce key properties of holographic dualities, and subsequently much work has focused on using tensor networks…

Strongly Correlated Electrons · Physics 2017-10-04 Katharine Hyatt , James R. Garrison , Bela Bauer

Large-scale quantum networks have been employed to overcome practical constraints of transmissions and storage for single entangled systems. Our goal in this article is to explore the strong entanglement distribution of quantum networks. We…

Quantum Physics · Physics 2022-04-18 Xue Yang , Yan-Han Yang , Ming-Xing Luo

Entanglement is one of the most intriguing features of quantum theory and a main resource in quantum information science. Ground states of quantum many-body systems with local interactions typically obey an "area law" meaning the…

High Energy Physics - Theory · Physics 2018-11-12 Fumihiko Sugino , Vladimir Korepin

We study the dynamics of (R\'enyi) mutual information, logarithmic negativity, and (R\'enyi) reflected entropy after exciting the ground state by a local operator. Together with recent results from Ref. [1], we are able to conjecture a…

High Energy Physics - Theory · Physics 2021-03-31 Jonah Kudler-Flam , Yuya Kusuki , Shinsei Ryu

We study the entanglement of an impurity at one end of a spin chain with a block of spins using negativity as a true measure of entanglement to characterize the unique features of the gapless Kondo regime in the spin chain Kondo model. For…

Strongly Correlated Electrons · Physics 2015-05-13 Abolfazl Bayat , Pasquale Sodano , Sougato Bose

We study the logarithmic negativity and the moments of the partial transpose in the ground state of a two dimensional massless harmonic square lattice with nearest neighbour interactions for various configurations of adjacent domains. At…

Statistical Mechanics · Physics 2017-04-20 Cristiano De Nobili , Andrea Coser , Erik Tonni

Recent work has shown how to understand the Page curve of an evaporating black hole from replica wormholes. However, more detailed information about the structure of its quantum state is needed to fully understand the dynamics of black hole…

High Energy Physics - Theory · Physics 2022-07-01 Xi Dong , Sean McBride , Wayne W. Weng

We compute the bipartite entanglement properties of the spin-half square-lattice Heisenberg model by a variety of numerical techniques that include valence bond quantum Monte Carlo (QMC), stochastic series expansion QMC, high temperature…

Strongly Correlated Electrons · Physics 2013-04-16 Ann B. Kallin , Matthew B. Hastings , Roger G. Melko , Rajiv R. P. Singh

Both reflected entropy and entanglement negativity provide valid measures of entanglement between subsystems of a mixed state. For general 2D eternal black holes coupled with CFT matters in large $c$ limit, we perform the replica-trick…

High Energy Physics - Theory · Physics 2022-07-29 Jiong Lin , Yizhou Lu

We consider the logarithmic negativity, a measure of bipartite entanglement, in a general unitary 1+1-dimensional massive quantum field theory, not necessarily integrable. We compute the negativity between a finite region of length $r$ and…

High Energy Physics - Theory · Physics 2016-12-20 Olivier Blondeau-Fournier , Olalla A. Castro-Alvaredo , Benjamin Doyon

We report on a systematic approach for the calculation of the negativity in the ground state of a one-dimensional quantum field theory. The partial transpose rho_A^{T_2} of the reduced density matrix of a subsystem A=A_1 U A_2 is explicitly…

Statistical Mechanics · Physics 2015-06-11 Pasquale Calabrese , John Cardy , Erik Tonni

The notion of non-classical correlations is a powerful contrivance for explaining phenomena exhibited in quantum systems. It is well known, however, that quantum systems are not free to explore arbitrary correlations---the church of the…

Quantum Physics · Physics 2017-03-07 Grant W. Allen , David A. Meyer

In this paper we study the application of holographic entanglement negativity proposal for bipartite states in the 2d Galilean conformal field theory ($GCFT_2$) dual to bulk asymptotically flat spacetimes in the context of generalized…

High Energy Physics - Theory · Physics 2022-03-09 M. R. Setare , M. Koohgard