Entanglement Dynamics in Open Two-Qubit Systems via Diffusive Quantum Trajectories

Viviescas, Carlos; Guevara, Ivonne; Carvalho, André; Busse, Marc; Buchleitner, Andreas

doi:10.1103/physrevlett.105.210502

Cited by 42 publications

(51 citation statements)

References 24 publications

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“…Although to arrive to equation (30) it was necessary to integrate the time evolution of the populations on the system, this task demands a substantially smaller effort than the solution of the whole unconditional dynamics. The observation that the entanglement evolution of maximally entangled initial states can be accurately estimate within the quantum trajectory theory has also been reported for various other two-qubit systems [19][20][21].…”

Section: Infinite Temperaturementioning

confidence: 83%

“…Although at this point the way to approach the quantification of the mixed state entanglement within our method seems natural [19,20], its success, as we now explain, is limited by the nature itself of the quantum trajectory ensembles. Notice that in the mixed state entanglement measures (16) and (17) the optimization is taken over all possible decompositions into pure states, regardeless of the way they are generated.…”

Section: B Physically Realizable Pure State Ensemblesmentioning

confidence: 99%

“…The striking scenario of unraveling u + was thorough studied in [20], where it was proved that this upper bound coincides with the concurrence of the unconditional state C(ρ(t)) = C u + (t), and therefore presents an accurate description of the entanglement dynamics in the system. Here, we turn on the analysis of the lower bound for concurrence of assistance dispensed by unraveling u − .…”

Section: Zero Temperature Bathmentioning

confidence: 99%

“…As a consequence, also the entanglement in the system vary according to how the environment is being monitored, and its time evolution can then be systematically characterized in an efficient way [18,19]. Numerical and analytical explorations of this proposal allowed for the description of the dynamics of entanglement [18][19][20][21] and entanglement of assistance [22] in various experimentally relevant situations, and preluded the formulation of new protocols for entanglement protection [23] and quantum computation [24], as well as its extension for the study of general quantum correlations [25]. Here we present a rigorous implementation of the quantum trajectory theory for the systematic study of the dynamics of entanglement in open quantum systems of two-qubits, and lay with clarity the groundwork for its extension to quantum systems of arbitrary size.…”

Section: Introductionmentioning

confidence: 99%

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Average entanglement dynamics in open two-qubit systems with continuous monitoring

Guevara

Viviescas

2014

Phys. Rev. A

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We present a comprehensive implementation of the quantum trajectory theory for the description of the entanglement dynamics in a Markovian open quantum system made of two qubits. We introduce the average concurrence to characterize the entanglement in the system and derive a deterministic evolution equation for it that depends on the ways information is read from the environment. This builded in flexibility of the method is used to address two actual issues in quantum information: entanglement protection and entanglement estimation. We identify general physical situations in which an entanglement protection protocol based on local monitoring of the environment can be implemented. Additionally, we methodically find unravelings of the system dynamics providing analytical tight bounds for the unmonitored entanglement in the system at all times. We conclude by showing the independence of the method on the choice of entanglement measure.

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Section: Infinite Temperaturementioning

confidence: 83%

Section: B Physically Realizable Pure State Ensemblesmentioning

confidence: 99%

Section: Zero Temperature Bathmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Average entanglement dynamics in open two-qubit systems with continuous monitoring

Guevara

Viviescas

2014

Phys. Rev. A

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“…This gives hope for a dynamical characterization of correlations when the dynamics themselves naturally give rise to a decomposition of the quantum state into an ensemble of pure states. For bipartite entanglement this has been exploited to define an average entanglement for open Markovian systems with an evolution described by a Lindblad master equation [7], and much work has been done in recent years to investigate this entanglement measure in various experimentally relevant situations [8][9][10][11][12]. We present an analogous definition for genuine multipartite correlations and show how it can be used to study the dynamical evolution of correlations in open multipartite quantum systems.…”

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confidence: 99%

Dynamics of genuine multipartite correlations in open quantum systems

Grimsmo

Parkins²,

Skagerstam³

2012

Phys. Rev. A

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We propose a measure for genuine multipartite correlations suited for the study of dynamics in open quantum systems. This measure is contextual in the sense that it depends on how information is read from the environment. It is used to study an interacting collective system of atoms undergoing phase transitions as external parameters are varied. We show that the steady state of the system can have a significant degree of genuine multipartite quantum and classical correlations, and that the proposed measure can serve as a witness of critical behavior in quantum systems.PACS numbers: 03.65. Ud,03.67.Mn,05.70.Fh Introduction.-There is a lot of interest in the characterization and quantification of correlations between quantum systems. The fact that quantum systems can be correlated in ways that classical systems can not is generally understood to be essential to emerging quantum technologies [1], and thus understanding the nature of such correlations is one of the most active areas of research in quantum information theory. Recently, there has been much effort made towards quantifying correlations-quantum or classical-for multipartite (as opposed to bipartite) systems. In particular, there exists a question of whether or not a system contains genuine multipartite correlations, i.e., are there correlations that cannot be accounted for by any subsystem alone. A general framework, where a measure for a type of correlation was defined as the "distance", as measured by relative entropy, from one state with a defining property to the closest state without said property, was recently proposed by Modi et al. in [2]. This framework permits a unified view of the measures of relative entropy of entanglement [3], quantum discord [4], classical correlations [5], quantum mutual information and several new quantities. A powerful feature of this framework is that the suggested measures are well defined, and relations between them also hold for multipartite systems, thereby allowing for natural extensions of the above quantities beyond the bipartite case. A natural follow up to the work in [2] was done by Giorgi et al. in [6] where n-partite quantum and classical correlations were further divided into genuine and non-genuine parts. This is not the only effort in this direction however, and it is not known how to correctly measure genuine multipartite correlations. Investigations of the validity of the various measures involving the dynamical evolution of correlations in experimentally relevant situations therefore seem beneficial. This is the purpose of the work presented here.

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Effect of decoherence from a spin environment on the entanglement dynamics of two-qutrit states

Ren

Zhao

et al. 2011

Sci. China Phys. Mech. Astron.

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The entanglement dynamics of a two-qutrit system under decoherence from a spin environment is investigated by using negativity as entanglement measure. Our results imply that the entanglement evolution depends not only on the coupling strength and the tunneling elements of the environment but also on the number of the freedom degrees and the initial state of the environment. entanglement dynamics, quantum decoherence, a spin environment PACS: 03.67.Mn, 03.65.Yz

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Entanglement Dynamics in Open Two-Qubit Systems via Diffusive Quantum Trajectories

Cited by 42 publications

References 24 publications

Average entanglement dynamics in open two-qubit systems with continuous monitoring

Average entanglement dynamics in open two-qubit systems with continuous monitoring

Dynamics of genuine multipartite correlations in open quantum systems

Effect of decoherence from a spin environment on the entanglement dynamics of two-qutrit states

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