Tripartite entanglement in a noninertial frame

Hwang, Mi-Ra; Park, DaeKil; Jung, Eylee

doi:10.1103/physreva.83.012111

Cited by 111 publications

(96 citation statements)

References 39 publications

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“…This measure can be used to evaluate the entanglement of one part relative to the other parts of a system with arbitrary dimension [20]. In a similar work Hwang et al have discussed tripartite entanglement in a non-inertial frame [17]. However, in their problem only one of the three observers is accelerating and only bosonic entanglements are discussed.…”

Section: Introductionmentioning

confidence: 99%

“…Now, it is well known that for different observers in uniform relative motion the total amount of entanglement is the same in all inertial frames, although they don't agree on the amount of entanglement among various degree of freedom of the system. Also, more recently, quantum entanglement has been studied in relativistic non-inertial frames [9][10][11][12][13][14][15][16][17]. Alsing and Milburn extended the argument to a situation where one observer is uniformly accelerated [9].…”

Section: Introductionmentioning

confidence: 99%

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Tripartite Entanglements in Noninertial Frames

2011

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Entanglement degradation caused by the Unruh effect is discussed for the tripartite GHZ or W states constructed by modes of a non-interacting quantum field viewed by one inertial observer and two uniformly accelerated observers. For fermionic states, the Unruh effect even for infinite accelerations cannot completely remove the entanglement. However, for the bosonic states, the situation is different and the entanglement vanishes asymptotically. Also, the entanglement is studied for the bipartite subsystems. While for the GHZ states all the bipartite subsystems are identically disentangled, for the W states the bipartite subsystems are somewhat entangled, though, this entanglement can be removed for appropriately accelerated observers. Interestingly, logarithmic negativity as a measure for determining the entanglement of one part of the system relative to the other two parts, is not generally the same for different parts. This means that we encounter tripartite systems where each part is differently entangled to the other two parts. * Electronic address: mshj@iaush.ac.ir † Electronic address: ba_nasre@sci.ui.ac.ir ‡ Electronic address: msoltani@phys.ui.ac.ir

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Tripartite Entanglements in Noninertial Frames

2011

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“…More recently, the dynamics of entanglement in fermionic and bosonic tripartite qubit systems in noninertial frames are studied in Refs. [27,28,29] using π-tangle and logarithmic negativity as the measurement of entanglement. These studies show that the degree of entanglement is degraded by the acceleration of the frames and, like the twotangles in inertial frames for GHZ state, the two-tangles for GHZ state are zero when one or two observers are in the accelerated frames.…”

Section: Introductionmentioning

confidence: 99%

Tripartite entanglement of fermionic system in accelerated frames

Khan

2014

Annals of Physics

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The dynamics of tripartite entanglement of fermionic system in noninertial frames through linear contraction criterion when one or two observers are accelerated is investigated. In one observer accelerated case the entanglement measurement is not invariant with respect to the partial realignment of different subsystems and for two observers accelerated case it is invariant. It is shown that the acceleration of the frame does not generate entanglement in any bipartite subsystems. Unlike the bipartite states, the genuine tripartite entanglement does not completely vanish in both one observer accelerated and two observers accelerated cases even in the limit of infinite acceleration. The degradation of tripartite entanglement is fast when two observers are accelerated than when one observer is accelerated. It is shown that tripartite entanglement is a better resource for quantum information processing than the bipartite entanglement in noninertial frames .

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“…For example, in Ref. [7] the degradation of tripartite entanglement between the modes of free scalar field due to acceleration of the observer is investigated. All these studies are carried by taking single mode approximation.…”

Section: Introductionmentioning

confidence: 99%

Non-Maximal Tripartite Entanglement Degradation of Dirac and Scalar Fields in Non-Inertial Frames

Khan¹,

Khan²,

Khan³

2014

Commun. Theor. Phys.

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The π-tangle is used to study the behavior of entanglement of a nonmaximal tripartite state of both Dirac and scalar fields in accelerated frame. For Dirac fields, the degree of degradation with acceleration of both one-tangle of accelerated observer and π-tangle, for the same initial entanglement, is different by just interchanging the values of probability amplitudes. A fraction of both one-tangles and the π-tangle always survives for any choice of acceleration and the degree of initial entanglement. For scalar field, the one-tangle of accelerated observer depends on the choice of values of probability amplitudes and it vanishes in the range of infinite acceleration, whereas for π-tangle this is not always true. The dependence of π-tangle on probability amplitudes varies with acceleration. In the lower range of acceleration, its behavior changes by switching between the values of probability amplitudes and for larger values of acceleration this dependence on probability amplitudes vanishes. Interestingly, unlike bipartite entanglement, the degradation of π-tangle against acceleration in the case of scalar fields is slower than for Dirac fields.

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Tripartite entanglement in a noninertial frame

Cited by 111 publications

References 39 publications

Tripartite Entanglements in Noninertial Frames

Tripartite Entanglements in Noninertial Frames

Tripartite entanglement of fermionic system in accelerated frames

Non-Maximal Tripartite Entanglement Degradation of Dirac and Scalar Fields in Non-Inertial Frames

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