Genuine multipartite concurrence for entanglement of Dirac fields in noninertial frames

Qiang, Wen-Chao; Sun, Guo-Hua; Qian, Dong; Dong, Shi‐Hai

doi:10.1103/physreva.98.022320

Cited by 66 publications

(41 citation statements)

References 46 publications

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“…)] for describing the degrees of the GTE for the pure state | , where χ = {A i |B i } denotes the set of all possible bipartitions of the tripartite system, and ρ A χ i is the reduced density operator of system A corresponding to the bipartition χ i [42,49]. The GTE for a mixed state ρ can be obtained by a convex roof construction…”

Section: Measure Of Gtnmentioning

confidence: 99%

Genuine tripartite nonlocality and entanglement in curved spacetime

Zeng

2022

Eur. Phys. J. C

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We study the genuine tripartite nonlocality (GTN) and the genuine tripartite entanglement (GTE) of Dirac fields in the background of a Schwarzschild black hole. We find that the Hawking radiation degrades both the physically accessible GTN and the physically accessible GTE. The former suffers from “sudden death” at some critical Hawking temperature, and the latter approaches to the nonzero asymptotic value in the limit of infinite Hawking temperature. We also find that the Hawking effect cannot generate the physically inaccessible GTN, but can generate the physically inaccessible GTE for fermion fields in curved spacetime. These results show that on the one hand the GTN cannot pass through the event horizon of black hole, but the GTE do can, and on the other hand the surviving physically accessible GTE and the generated physically inaccessible GTE for fermions in curved spacetime are all not nonlocal. Some monogamy relations between the physically accessible GTE and the physically inaccessible GTE are found.

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Section: Measure Of Gtnmentioning

confidence: 99%

Genuine tripartite nonlocality and entanglement in curved spacetime

Zeng

2022

Eur. Phys. J. C

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“…More recently, a new type of Heisenberg relation, i.e., the quantum memory assisted entropic uncertainty relation, has been derived [ 12 ] according to the conjecture of Renes and Boileau [ 13 ]. Owing to its versatile applications, entropic uncertainty relation can be potentially applied to quantum key distribution [ 14 , 15 ], probing quantum correlations [ 16 , 17 , 18 , 19 , 20 ], quantum randomness [ 21 ], cryptographic security [ 22 , 23 ], entanglement witness [ 24 , 25 , 26 , 27 , 28 , 29 ], and quantum metrology [ 30 , 31 , 32 ]. It is worth mentioning that the close relation between mixedness and uncertainty has been discussed widely as a concerned topic [ 33 , 34 , 35 , 36 , 37 ].…”

Section: Introductionmentioning

confidence: 99%

Entropic Uncertainty in Spin XY Model with Long-Range Interactions

Zidan

2020

Entropy

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The behavior of the uncertainty relations and their tightness for a system, consisting of two qubits interacting thermally with a magnetic field in the presence of Dzyaloshinskii–Moriya interaction, is discussed, where different types of interaction strengths are considered. It is shown that both coupling and the magnetic field parameters decay the degree of entanglement, and increasing the uncertainty relations and the degree of mixedness. The phenomena of the sudden changes in the investigated quantities are depicted at large values of the field and coupling parameters. Concerning the type of the coupling parameters, distance and the trigonometric coupling have a clear effect on the behavior of the studied physical quantities.

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“…The Minkowski vacuum state [12] can be expressed in terms of a product of two-mode squeezed states of the Rindler vacuum. Therefore, the respective transformations between two coordinated systems for the fermion field can be written as…”

Section: Entanglement Teleportation In Non-inertial Framesmentioning

confidence: 99%

The effect of acceleration parameter on thermal entanglement and teleportation of a two-qubit Heisenberg XXX model with Dzyaloshinski-Moriya interaction in non-inertial frames

Zhang

2021

Results in Physics

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Thermal entanglement and teleportation properties in non-inertial frames are investigated when a two-qubit Heisenberg XXX model with Dzyaloshinski-Moriya (DM) interaction is used as the quantum channel. We find that thermal entanglement and the teleportation fidelity of a teleported state decrease with the acceleration parameter or temperature, in other words, the quantum entanglement teleportation will degenerate in non-inertial frames. Furthermore, our results also show that the average fidelity may be promoted by DM interaction for the ferromagnetic case, which is opposite to the antiferromagnetic case in non-inertial frames, although hindered by acceleration parameter, and their influence can be counteracted.

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Genuine multipartite concurrence for entanglement of Dirac fields in noninertial frames

Cited by 66 publications

References 46 publications

Genuine tripartite nonlocality and entanglement in curved spacetime

Genuine tripartite nonlocality and entanglement in curved spacetime

Entropic Uncertainty in Spin XY Model with Long-Range Interactions

The effect of acceleration parameter on thermal entanglement and teleportation of a two-qubit Heisenberg XXX model with Dzyaloshinski-Moriya interaction in non-inertial frames

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