Generation of genuine tripartite entanglement for continuous variables in de Sitter space

Wang, Jieci; Wen, Cuihong; Chen, Songbai; Jing, Jilliang

doi:10.1016/j.physletb.2019.135109

Cited by 23 publications

(59 citation statements)

References 49 publications

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“…In fact, the asymmetry of steering for Gaussian states in flat space has been experimentally demonstrated in [20]. the final state of the entire system is [50] σ ABB (s, r) = I A ⊕ S B,B (γ p ) σ (M)…”

Section: Discussionmentioning

confidence: 99%

Quantum steering for continuous variable in de Sitter space

2020

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We study the distribution of quantum steerability for continuous variables between two causally disconnected open charts in de Sitter space. It is shown that quantum steerability suffers from "sudden death" in de Sitter space, which is quite different from the behaviors of entanglement and discord because the latter always survives and the former vanishes only in the limit of infinite curvature. It is found that the attainment of maximal steerability asymmetry indicates a transition between unidirectional steerable and bidirectional steerable. Unlike in the flat space, the asymmetry of quantum steerability can be completely destroyed in the limit of infinite curvature for the conformal and massless scalar fields in de Sitter space. *

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Section: Discussionmentioning

confidence: 99%

Quantum steering for continuous variable in de Sitter space

2020

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“…In addition, the limit of infinite curvature appears at

p \to 0

. [ 42,44 ] The normalization coefficient for function

χ_{p, σ} false(t_{R false(L false)} false)

N_{p} = \frac{4 \sinh π p \sqrt{\cosh π p - σ \sin π ν}}{\sqrt{π} false| normalΓ (ν + i p + \frac{1}{2}) false|}

. The mass parameter ν is defined by

ν = \sqrt{\frac{9}{4} - \frac{m^{2}}{H^{2}}}

, which has two special values:

ν = 1 / 2

for the conformally coupled scalar field, and

ν = 3 / 2

for the minimally coupled massless scalar field.…”

Section: Quantization Of Scalar Field In De Sitter Spacementioning

confidence: 99%

“…From Equation (3), we can see the Bunch–Davies vacuum for a global observer can be expressed as a two‐mode squeezed state of the R and L vacua. [ 36–38,42,44 ] In the phase space, The two‐mode squeezing transformation can be expressed by a symplectic operator [ 42 ]

\begin{matrix} true \\ right S_{B, \overset{B}{true}} (γ_{p}) = \frac{1}{\sqrt{1 - false| γ_{p} {false|}^{2}}} ((), \begin{matrix} I_{1} & false| γ_{p} false| Z_{1} \\ false| γ_{p} false| Z_{1} & I_{1} \end{matrix}) \end{matrix}

…”

Section: Distribution Of Gaussian Quantum Coherence In De Sitter Spacementioning

confidence: 99%

“…For example, it was found that nonclassical correlations are generated between the open charts in the exponentially expanding de Sitter space. [ 36–42 ] Interestingly, the entanglement remains nonzero even if the distance between the two regions becomes larger than the Hubble length. This means there exists a nonclassical correlation between two causally disconnected regions and the existence of the entanglement means that the Reeh–Schlieder theorem [ 43 ] holds in de Sitter space.…”

Section: Introductionmentioning

confidence: 99%

“…[ 21,24,26,27,42 ] It has a special role in quantum field theory because the field modes in causally disconnected regions are found to be pair‐wise squeezed under the influence of spacetime structure evolution and relativistic effects. [ 20–22,42,45 ] In addition, as the most typical entangled state for continuous variables, the two‐mode squeezed state can be produced with existing technology and be exploited for a few important continuous‐variable quantum information tasks. [ 46 ] It is found that two‐mode and three‐mode quantum coherence are generated among the open charts, even though the observers are causally disconnected.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Distribution and Generation of Quantum Coherence for Gaussian States in de Sitter Space

et al. 2021

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The distribution and generation of quantum coherence for two‐mode and multi‐mode Gaussian states in de Sitter space are studied. It is found that the quantum coherence is redistributed among the mode in different open charts under the curvature effect of de Sitter space. In particular, the Gaussian coherence for the initially correlated state is found to survive in the limit of infinite curvature, while quantum entanglement vanishes in this limit. Unlike entanglement and steering, the coherence of a massive scalar field is more robust than a massless field under the influence of curvature of de Sitter space. In addition, it is shown that the curvature generates two‐mode Gaussian state and three‐mode Gaussian state quantum coherence among the open charts, even though the observers are localized in causally disconnected regions. It is worth noting that the gravity‐generated three‐mode coherence is extremely sensitive to the curvature effect for the conformal and massless scalar fields, which may be in principle employed to design an effective detector for the space curvature.

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Entanglement‐Enhanced Quantum Ranging in Near‐Earth Spacetime

Liu,

Wen,

Jing

et al. 2023

Adv Quantum Tech

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A quantum ranging protocol to determine the distance between an observer and a target in the near‐Earth curved spacetime is proposed. Unlike quantum illumination, the quantum ranging scheme utilizes multiple quantum hypothesis testing to simultaneously determine the presence and location of the target. The interest is in how the Earth's spacetime curvature influences photon propagation as well as the performance of the quantum ranging. It is found that the maximum potential advantage of the quantum ranging strategy in the curved spacetime outperforms its flat spacetime counterpart. It is shown that the number of transmitted modes can enhance the maximum potential advantage of the quantum ranging tasks. In contrast, the maximum potential advantage of quantum ranging cannot be significantly increased by dividing the range into multiple slices in the curved spacetime.

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Generation of genuine tripartite entanglement for continuous variables in de Sitter space

Cited by 23 publications

References 49 publications

Quantum steering for continuous variable in de Sitter space

Quantum steering for continuous variable in de Sitter space

Distribution and Generation of Quantum Coherence for Gaussian States in de Sitter Space

Entanglement‐Enhanced Quantum Ranging in Near‐Earth Spacetime

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