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In this article, we investigate the quantum circuit complexity and entanglement entropy in the recently studied black hole gas framework using the two-mode squeezed states formalism written in arbitrary dimensional spatially flat…

High Energy Physics - Theory · Physics 2021-09-03 Kiran Adhikari , Sayantan Choudhury , Satyaki Chowdhury , K. Shirish , Abinash Swain

We consider ensembles of bipartite states resulting from a random passive Gaussian unitary applied to a fiducial pure Gaussian state. We show that the symplectic spectra of the reduced density operators concentrate around that of a thermal…

Quantum Physics · Physics 2019-12-02 Motohisa Fukuda , Robert Koenig

We calculate the quantum Renyi entropy in a phase space representation for either fermions or bosons. This can also be used to calculate purity and fidelity, or the entanglement between two systems. We show that it is possible to calculate…

Other Condensed Matter · Physics 2015-05-28 Laura E. C. Rosales-Zárate , P. D. Drummond

A Gaussian degree of entanglement for a symmetric two-mode Gaussian state can be defined as its distance to the set of all separable two-mode Gaussian states. The principal property that enables us to evaluate both Bures distance and…

Quantum Physics · Physics 2009-11-13 Paulina Marian , Tudor A. Marian

We consider a system of two coupled Tomonaga-Luttinger liquids (TLL) on parallel chains and study the Renyi entanglement entropy $S_n$ between the two chains. Here the entanglement cut is introduced between the chains, not along the…

Strongly Correlated Electrons · Physics 2013-03-08 Shunsuke Furukawa , Yong Baek Kim

We study the entanglement properties of two-mode bosonic Gaussian states based on their multi-mode counting statistics. We exploit the idea that measuring high-order correlations of particle numbers can reveal entanglement without making…

A new numerical approach to entanglement entropies of the Renyi type is proposed for one-dimensional quantum field theories. The method extends the truncated conformal spectrum approach and we will demonstrate that it is especially suited…

Statistical Mechanics · Physics 2016-06-23 T. Palmai

Generic non-equilibrium many-body systems display a linear growth of bipartite entanglement entropy in time, followed by a volume law saturation. In stark contrast, the Page curve dynamics of black hole physics shows that the entropy peaks…

Quantum Physics · Physics 2025-06-24 Rishabh Jha , Salvatore R. Manmana , Stefan Kehrein

We show that for a fixed amount of entanglement, two-mode squeezed states are those that maximize Einstein-Podolsky-Rosen-like correlations. We use this fact to determine the entanglement of formation for all symmetric Gaussian states…

Quantum Physics · Physics 2013-01-14 G. Giedke , M. M. Wolf , O. Krueger , R. F. Werner , J. I. Cirac

We present a study of the entanglement properties of Gaussian cluster states, proposed as a universal resource for continuous-variable quantum computing. A central aim is to compare mathematically-idealized cluster states defined using…

Quantum Physics · Physics 2010-11-30 Hugo Cable , Daniel E. Browne

We show how a straightforward Bayesian updating procedure allows one to detect and quantify entanglement from any finite set of measurement results. The measurements do not have to be tomographically complete, and may consist of POVMs…

Quantum Physics · Physics 2009-08-03 Pavel Lougovski , S. J. van Enk

Thanks to Pfaffian techniques, we study the R\'enyi entanglement entropies and the entanglement spectrum of large subsystems for two-dimensional Rokhsar-Kivelson wave functions constructed from a dimer model on the triangular lattice. By…

Statistical Mechanics · Physics 2012-02-13 Jean-Marie Stéphan , Grégoire Misguich , Vincent Pasquier

We study odd entanglement entropy (odd entropy in short), a candidate of measure for mixed states holographically dual to the entanglement wedge cross section, in two-dimensional free scalar field theories. Our study is restricted to…

High Energy Physics - Theory · Physics 2020-12-02 Ali Mollabashi , Kotaro Tamaoka

We study the entanglement dynamics generated by quantum quenches in the quantum cellular automaton Rule $54$. We consider the evolution from a recently introduced class of solvable initial states. States in this class relax (locally) to a…

Statistical Mechanics · Physics 2021-12-22 Katja Klobas , Bruno Bertini

The concept of entangled quantum states is considered in the context of systems of identical particles, based on the requirement that in order to represent physical states both for the overall system and the sub-systems which may be…

Quantum Physics · Physics 2014-01-03 Bryan Dalton , Libby Heaney , John Goold , Thomas Busch , Barry Garraway

Subdominant contributions to the entanglement entropy of quantum fields include logarithmic corrections to the area law characterized by universal coefficients that are independent of the ultraviolet regulator and capture detailed…

High Energy Physics - Theory · Physics 2021-12-28 Rodolfo Soldati , L. S. Menicucci , N. Yokomizo

Entanglement entropy is a powerful tool to detect continuous, discontinuous and even topological phase transitions in quantum as well as classical systems. In this work, von Neumann and Renyi entanglement entropies are studied numerically…

Statistical Mechanics · Physics 2023-10-30 Christophe Chatelain , Andrej Gendiar

We study the $n=2$ R\' enyi entanglement entropy of the triangular quantum dimer model via Monte Carlo sampling of Rokhsar-Kivelson(RK)-like ground state wavefunctions. Using the construction proposed by Kitaev and Preskill [Phys. Rev.…

Statistical Mechanics · Physics 2013-03-19 Alexander Selem , C. M. Herdman , K. Birgitta Whaley

Quantum entanglement is a particularly useful characterization of topological orders which lack conventional order parameters. In this work, we study the entanglement in topologically ordered states between two arbitrary spatial regions,…

Strongly Correlated Electrons · Physics 2023-08-01 Chao Yin , Shang Liu

We study the dynamics of the pump mode in the down-conversion Hamiltonian using the cumulant expansion method, perturbation theory, and the full numerical simulation of systems with a pump mean photon number of up to one hundred thousand.…

Quantum Physics · Physics 2024-08-21 Karthik Chinni , Nicolás Quesada