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The entanglement of an optically generated electron-hole pair in artificial quantum dot molecules is calculated considering the effects of decoherence by interaction with environment. Since the system evolves into a mixed states and due to…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 H. S. Borges , L. Sanz , A. M. Alcalde

In closed systems, dynamical symmetries lead to conservation laws. However, conservation laws are not applicable to open systems that undergo irreversible transformations. More general selection rules are needed to determine whether, given…

Quantum Physics · Physics 2013-03-19 Borzu Toloui , Gilad Gour

Bound entanglement was shown to be activated [P. Horodecki \textit{et al.,} Phys. Rev. Lett. \textbf{82,} 1056 (1999)] in the sense that the entanglement of a spatially separated two-qutrit system can be increased with nonzero probability…

Quantum Physics · Physics 2022-03-01 Fatih Ozaydin , Cihan Bayindir , Azmi Ali Altintas

It was recently noted that the entanglement entropy for a subsystem of a chaotic eigenstate exhibits an enhanced correction when the subsystem approaches a phase transition at half the total system size. This enhanced correction was derived…

High Energy Physics - Theory · Physics 2023-03-02 Sean McBride , Fernando Iniguez

We analyze the convergence behavior of \emph{globally weakly} and \emph{locally strongly contracting} dynamics. Such dynamics naturally arise in the context of convex optimization problems with a unique minimizer. We show that convergence…

Optimization and Control · Mathematics 2024-05-17 Veronica Centorrino , Alexander Davydov , Anand Gokhale , Giovanni Russo , Francesco Bullo

Superselection rules severly constrain the operations which can be implemented on a distributed quantum system. While the restriction to local operations and classical communication gives rise to entanglement as a nonlocal resource,…

Quantum Physics · Physics 2009-11-10 Norbert Schuch , Frank Verstraete , J. Ignacio Cirac

We extend the concept of the negativity, a good measure of entanglement for bipartite pure states, to mixed states by means of the convex-roof extension. We show that the measure does not increase under local quantum operations and…

Quantum Physics · Physics 2009-11-10 Soojoon Lee , Dong Pyo Chi , Sung Dahm Oh , Jaewan Kim

A simple argument shows that negative energy cannot be isolated far away from positive energy in a conformal field theory and strongly constrains its possible dispersal. This is also required by consistency with the Bekenstein bound written…

High Energy Physics - Theory · Physics 2013-11-28 David D. Blanco , Horacio Casini

We consider the evolution of entanglement entropy in a two-dimensional conformal field theory with a holographic dual. Specifically, we are interested in a class of excited states produced by a combination of pure-state (local operator) and…

High Energy Physics - Theory · Physics 2026-01-30 Kazuki Doi , Tadashi Takayanagi

We present a general and simple formula for computing the entanglement negativity in free fermions. Our formula allows for deriving several universal bounds on negativity and its rate of change in dynamics. The bound on negativity directly…

Quantum Physics · Physics 2025-07-29 Ryota Matsuda , Zongping Gong

This article is devoted to characterize all possible effective behaviors of composite materials by means of periodic homogenization. This is known as a $G$-closure problem. Under convexity and $p$-growth conditions ($p>1$), it is proved…

Analysis of PDEs · Mathematics 2015-06-26 Jean-Francois Babadjian , Marco Barchiesi

We derive a monogamy inequality for any local quantum resource and entanglement. It results from the fact that there is always a convex measure for a quantum resource, as shown here, and from the relation between entanglement and local…

Quantum Physics · Physics 2017-09-20 S. Camalet

We introduce variants of relative entropy of entanglement based on the optimal distinguishability from unentangled states by means of restricted measurements. In this way, we are able to prove that the standard regularized entropy of…

Quantum Physics · Physics 2010-01-29 M. Piani

We examine the evaluation of entanglement measures in weakly correlated gaussian states. It is shown that they can be expressed in terms of the singular values of a particular block of the generalized contraction matrix. This result enables…

Quantum Physics · Physics 2013-04-17 J. M. Matera , R. Rossignoli , N. Canosa

Entanglement monotone is defined as a convex measure of entanglement that does not increase on average under local operations and classical communication (LOCC). Here we call an entanglement monotone a strict entanglement monotone (SEM) if…

Quantum Physics · Physics 2019-04-03 Yu Guo

We consider graph states of arbitrary number of particles undergoing generic decoherence. We present methods to obtain lower and upper bounds for the system's entanglement in terms of that of considerably smaller subsystems. For an…

Quantum Physics · Physics 2009-07-15 Daniel Cavalcanti , Rafael Chaves , Leandro Aolita , Luiz Davidovich , Antonio Acin

We investigate the time evolution towards the asymptotic steady state of a one dimensional interacting system after a quantum quench. We show that at finite time the latter induces entanglement between right- and left- moving density…

Strongly Correlated Electrons · Physics 2017-08-18 Alessio Calzona , Filippo Maria Gambetta , Fabio Cavaliere , Matteo Carrega , Maura Sassetti

We introduce a new entanglement measure based on optimal entanglement witness. First of all, we show that the entanglement measure satisfies some necessary properties, including zero entanglements for all separable states, convexity,…

Quantum Physics · Physics 2024-02-20 Nan Yang , Jiaji Wu , Xianyun Dong , Longyu Xiao , Jing Wang , Ming Li

We study the entanglement in a chain of harmonic oscillators driven out of equilibrium by preparing the two sides of the system at different temperatures, and subsequently joining them together. The steady state is constructed explicitly…

Statistical Mechanics · Physics 2014-12-11 Viktor Eisler , Zoltan Zimboras

We investigate entanglement growth for a pair of coupled kicked rotors. For weak coupling, the growth of the entanglement entropy is found to be initially linear followed by a logarithmic growth. We calculate analytically the time after…

Quantum Physics · Physics 2020-12-30 Sanku Paul , Arnd Bäcker
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