Entanglement decay versus energy change: A model

Yu, Ting

doi:10.1016/j.physleta.2006.09.047

Cited by 23 publications

(11 citation statements)

References 25 publications

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“…However, entanglement and energy are neither mapped in a one-to-one fashion nor evolve at the same rate. The quantitative relationship between disentanglement and system-environment energy transfer has been developed in more detail by Yu [106]. A two-qubit system in the form of the X-state in Eq.…”

Section: Energy and Temperaturementioning

confidence: 99%

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Finite-Time Destruction of Entanglement and Non-Locality by Environmental Influences

Ann

Jaeger

2009

Found Phys

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Entanglement and non-locality are non-classical global characteristics of quantum states important to the foundations of quantum mechanics. Recent investigations have shown that environmental noise, even when it is entirely local in influence, can destroy both of these properties in finite time despite giving rise to full quantum state decoherence only in the infinite time limit. These investigations, which have been carried out in a range of theoretical and experimental situations, are reviewed here.

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Section: Energy and Temperaturementioning

confidence: 99%

“…The quantitative relationship between disentanglement and system-environment energy transfer has been developed in more detail by Yu [106]. A two-qubit system in the form of the X-state in Eq.…”

Section: Energy and Temperaturementioning

confidence: 99%

Finite-Time Destruction of Entanglement and Non-Locality by Environmental Influences

Ann

Jaeger

2009

Found Phys

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“…Entanglement dynamics including sudden death and birth has been studied theoretically, e.g., in twoqubit systems in several contexts 1,[3][4][5] and in harmonic oscillators 6,7 . The recent observation of these phenomena in photonic systems 8 and ensembles of atoms 9 has attracted great interest.…”

Section: Introductionmentioning

confidence: 99%

Entanglement dynamics in a non-Markovian environment: An exactly solvable model

2012

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We study the non-Markovian effects on the dynamics of entanglement in an exactly-solvable model that involves two independent oscillators each coupled to its own stochastic noise source. First, we develop Lie algebraic and functional integral methods to find an exact solution to the single-oscillator problem which includes an analytic expression for the density matrix and the complete statistics, i.e., the probability distribution functions for observables. For long bath time-correlations, we see non-monotonic evolution of the uncertainties in observables. Further, we extend this exact solution to the two-particle problem and find the dynamics of entanglement in a subspace. We find the phenomena of 'sudden death' and 'rebirth' of entanglement. Interestingly, all memory effects enter via the functional form of the energy and hence the time of death and rebirth is controlled by the amount of noisy energy added into each oscillator. If this energy increases above (decreases below) a threshold, we obtain sudden death (rebirth) of entanglement.

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“…Remarkably, they find that even when there is no interaction (either directly or through a correlated environment), there are certain states whose entanglement decays exponentially with time, while for other closely related states, the entanglement vanishes completely in a finite time. This phenomenon, called entanglement sudden death (ESD), has been well explored in the case of bipartite systems and there are a number of studies looking at ESD in multipartite systems [14][15][16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Tripartite entanglement sudden death in Yang-Baxter systems

Ren

Xue

2011

Quantum Inf Process

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In this paper, we derive unitary Yang-BaxterȒ(θ, ϕ) matrices from the 8 × 8 M matrix and the 4 × 4 M matrix by Yang-Baxteration approach, where M/M is the image of the braid group representation. In Yang-Baxter systems, we explore the evolution of tripartite negativity for three qubits Greenberger-Horne-Zeilinger (GHZ)-type states and W-type states and investigate the evolution of the bipartite concurrence for 2 qubits Bell-type states. We show that tripartite entanglement sudden death (ESD) and bipartite ESD all can happen in Yang-Baxter systems and find that ESD all are sensitive to the initial condition. Interestingly, we find that in the Yang-Baxter system, GHZ-type states can have bipartite entanglement and bipartite ESD, and find that in some initial conditions, W-type states have tripartite ESD while they have no bipartite Entanglement. It is worth noting that the meaningful parameter ϕ has great influence on bipartite ESD for two qubits Bell-type states in the Yang-Baxter system.

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Entanglement decay versus energy change: A model

Cited by 23 publications

References 25 publications

Finite-Time Destruction of Entanglement and Non-Locality by Environmental Influences

Finite-Time Destruction of Entanglement and Non-Locality by Environmental Influences

Entanglement dynamics in a non-Markovian environment: An exactly solvable model

Tripartite entanglement sudden death in Yang-Baxter systems

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