Nonlocality and entanglement via the Unruh effect

Tian, Zehua; Wang, Jieci; Jing, Jiliang

doi:10.1016/j.aop.2013.01.015

Cited by 31 publications

(38 citation statements)

References 39 publications

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“…Based on the model of two‐level detector qubit coupled to a massless scalar field, we have discussed how the Unruh effect affects the quantum coherence of tripartite W state and GHZ state when one of the entangled qubits is in a accelerated setting. The Unruh–Dewitt detector model avoids the problems suffered by free field model, which is more physical and corresponds to the reality further . The results indicated that Unruh thermal noise really destroys the tripartite quantum resources.…”

Section: Discussionmentioning

confidence: 85%

“…Due to the difficulty in observing Unruh effect, researchers employ the semiclassical Unruh–Dewitt detector model, which interacts locally with the neighboring external field. Afterward, much interests have been triggered by the behaviors of quantum entanglement, quantum discord, quantum coherence, and quantum nonlocality of the entangled detectors under the influence of Unruh thermal noise. However, we notice that the above investigations are mainly confined to a two‐detector system, and the character of multipartite even N ‐qubit system is still under study.…”

Section: Introductionmentioning

confidence: 99%

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Multipartite Quantum Coherence and Distribution under the Unruh Effect

Ding

Shi

et al. 2018

Annalen der Physik

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Quantum coherence of the tripartite W state and Greenberger-Horne-Zeilinger (GHZ) state under the Unruh effect are explored based on the model of a two-level detector qubit coupled to a massless scalar field. The results reveal that Unruh thermal noise really destroys tripartite quantum resources. It is worth mentioning that the quantum coherence of the GHZ state reaches zero in the infinite acceleration limit, but that of the W-state always remains nonzero. Coherence of the GHZ state displays a sudden death as the coupling parameter grows, while coherence freezing can be witnessed for the W state. It can be concluded that the W state is more robust than the GHZ state against Unruh radiation. Moreover, the related investigation can be expanded to N-qubit quantum systems and the corresponding analytical solution is obtained. It indicates that the larger number W-type entangled qubit can be as a better quantum resource for quantum information tasks under the Unruh effect.

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Section: Discussionmentioning

confidence: 85%

Section: Introductionmentioning

confidence: 99%

Multipartite Quantum Coherence and Distribution under the Unruh Effect

Ding

Shi

et al. 2018

Annalen der Physik

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“…Here, in particular, we study the Unruh effect [10,11,16] which predicts thermal like effects from observing uniform acceleration of the Minkowski vacuum. This has attracted intense interest [17][18][19][20][21][22][23][24][25][26][27] and has emerged as a natural quest in the direction of relativistic quantum information [28][29][30][31][32][33][34][35][36][37][38][39][40][41].…”

Section: Jhep02(2017)082mentioning

confidence: 99%

Characterization of Unruh channel in the context of open quantum systems

Banerjee

Alok

Omkar

et al. 2017

J. High Energ. Phys.

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Abstract:In this work, we study an important facet of field theories in curved spacetime, viz. the Unruh effect, by making use of ideas of statistical mechanics and quantum foundations. Aspects of decoherence and dissipation, natural artifacts of open quantum systems, along with foundational issues such as the trade-off between coherence and mixing as well as various aspects of quantum correlations are investigated in detail for the Unruh effect. We show how the Unruh effect can be quantified mathematically by the Choi matrix approach. We study how environmentally induced decoherence modifies the effect of the Unruh channel. The differing effects of a dissipative or non-dissipative environment are noted. Further, useful parameters characterizing channel performance such as gate and channel fidelity are applied here to the Unruh channel, both with and without external influences. Squeezing, which is known to play an important role in the context of particle creation, is shown to be a useful resource in a number of scenarios.

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“…The model can be considered as follows: a pair of observers, Alice and Bob, where each of them has a semiclassical Unruh–Dewitt detector modeling via a two‐level noninteracting atom with a fixed energy gap Ω (

Ω > 0

) . The detectors initially share an entangled state as

| ψ_{A B} ⟩ = \cos θ {| 01 ⟩}_{A B} + \sin θ {| 10 ⟩}_{A B}

where

{false| 0 false⟩}_{A false(B false)}

and

{false| 1 false⟩}_{A false(B false)}

denote the unexcited and excited states of Alice's or Bob's detectors, respectively.…”

Section: Model Of the Detector‐field Interactionmentioning

confidence: 99%

“…The famous Unruh effect manifests that a uniformly accelerated detector which interacts with external fields becomes excited in the Minkowski vacuum and the quantum properties of fields is observer dependent . Many researches have been focused on the influence of the Unruh effect on quantum systems in an accelerated setting, which demonstrate that the quantity of quantum resources such as entanglement, nonlocality, and coherence appear a degradation from the viewpoint of noninertial observers owing to the Unruh thermal bath.…”

Section: Introductionmentioning

confidence: 99%

Tighter Bound of Entropic Uncertainty under the Unruh Effect

Ding

Shi

et al. 2020

Annalen der Physik

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The uncertainty principle limits the ability to simultaneously predict measurement outcomes for two non‐commuting observables of a quantum particle. However, the uncertainty can be violated by considering a particle as a quantum memory correlated with the primary particle. By modeling an Unruh–Dewitt detector coupled to a massless scalar field, it is explored how the Unruh effect affects the entropic uncertainty and the tighter lower bound for a pair of entangled detectors is probed when one of them is accelerated. It is found that Unruh thermal noise really gives rise to an increase of entropic uncertainty for the given conditions since the correlation between quantum memory and the measured system is decreased. It is shown that the bound of the entropic uncertainty relations, in the presence of memory, can be formulated by introducing the Holevo quantity and mutual information. It is also noticed that Adabi's lower bound is tighter than that of Berta, and just the optimal bound under the Unruh effect. Moreover, it is shown that Berta's lower bound is unrelated to the choice of complementary observables, while the optimal Adabi's lower bound is dependent on the measurement choice. It is worth mentioning that the investigations may offer a better understanding of the entropic uncertainty in a relativistic motion.

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Nonlocality and entanglement via the Unruh effect

Cited by 31 publications

References 39 publications

Multipartite Quantum Coherence and Distribution under the Unruh Effect

Multipartite Quantum Coherence and Distribution under the Unruh Effect

Characterization of Unruh channel in the context of open quantum systems

Tighter Bound of Entropic Uncertainty under the Unruh Effect

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