Erratum: Effect of relativistic acceleration on localized two-mode Gaussian quantum states [Phys. Rev. D 
<b>93</b>
, 124031 (2016)]

We consider a pair of two-level Unruh-DeWitt detectors accelerated uniformly in the Minkowski vacuum of a massless neutral scalar field, and analyze, within the perturbation theory, the entanglement extracted from the vacuum into the Unruh-DeWitt detectors when the switching of the detectors are performed adiabatically enough at the asymptotic past and future. We consider the cases where the detectors are accelerated parallelly, anti-parallelly, and in differently orientated directions. We show that entanglement is extracted if they are accelerated anti-parallelly and the ratios of the excitation energy to the magnitude of the acceleration coincide between the two detectors. On the other hand, we find the detectors are not entangled when the detectors are accelerated parallelly or in orientated directions. We discuss these results from the viewpoint of the energy conservation associated with the timelike boost Killing vector fields tangent to the worldlines of the detectors.

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“…We note here that Eqs. (8) and (10) explicitly show that I E is symmetric under the exchange of the roles of Alice and Bob, A ↔ B.…”

Section: Modelmentioning

confidence: 99%

“…(See, e.g., Refs. [2][3][4][5][6][7][8][9][10][11] and references therein.) Although each detector and a quantum field are entangled naturally due to the coupling between them, why and how a pair of detectors are entangled looks non-trivial, particularly in vacuum and when spatially separated.…”

Section: Introductionmentioning

confidence: 99%

Entanglement extracted from vacuum into accelerated Unruh-DeWitt detectors and energy conservation

Koga

Kimura

2019

Phys. Rev. D

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“…where the symplectic eigenvalues λ 4,5 are calculated again using the formula (16). For squeezed states and heterodyne detection we have to take into account the ancillary mode C at Bob's side.…”

Section: B Collective Attacksmentioning

confidence: 99%

“…Now, we need to properly describe how quantum states are transformed from one reference frame to the other. The most convincing and also flexible tool in this sense has been developed in [16], where the authors were able to formulate the transformation in terms of a quantum channel acting on the covariance matrix of a two mode Gaussian states N (σ (f ) ) = σ (d) ,…”

Section: Effect Of the Acceleration On Gaussian Statesmentioning

confidence: 99%

“…Infact, it has been clarified only recently how Gaussian states are properly affected by acceleration. The efforts have culminated in the work [16], whose method has been succesfully extended [17] and applied to CV quantum information protocols [18]. Several previous works [19][20][21] have meaningfully investigated the effect of the acceleration on a specific cryptographic scheme, where only one of the parties was allowed to accelerate, and the effect of gravity on information transmission [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effects of gravity on continuous-variable quantum key distribution

Pierini

2018

Phys. Rev. D

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The domain of quantum technologies has been recently broaden to satellites orbiting the earth. Long distances communication protocols cannot ignore the presence of the gravitational field and its effects on the quantum states. Here, we provide a general method to investigate how gravity affects the performance of various quantum key distribution protocols for continuous variable states of localized wave packets. We show that the consequences of gravity strongly depend on the configuration and the cryptographic scheme used.

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Monogamy of Einstein‐Podolsky‐Rosen Steering in the Background of an Asymptotically Flat Black Hole

2017

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We study the behavior of monogamy deficit and monogamy asymmetry for Einstein-Podolsky-Rosen steering of Gaussian states under the influence of the Hawking effect. We demonstrate that the monogamy of quantum steering shows an extreme scenario in the curved spacetime: the first part of a tripartite system cannot individually steer two other parties, but it can steer the collectivity of the remaining two parties.We also find that the monogamy deficit of Gaussian steering, a quantifier of genuine tripartite steering, are generated due to the influence of the Hawking thermal bath. Our results elucidate the structure of quantum steering in tripartite quantum systems in curved spacetime.

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Erratum: Effect of relativistic acceleration on localized two-mode Gaussian quantum states [Phys. Rev. D 93 , 124031 (2016)]

Abstract: We have found a sign error in our paper. This error affects parts of Sec. III.B and Sec. VI and Eq. (32). Here we present the corrected results. Equations (17), (20), (23), (32), and (40) are modified as

Cited by 10 publications

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Entanglement extracted from vacuum into accelerated Unruh-DeWitt detectors and energy conservation

Entanglement extracted from vacuum into accelerated Unruh-DeWitt detectors and energy conservation

Effects of gravity on continuous-variable quantum key distribution

Monogamy of Einstein‐Podolsky‐Rosen Steering in the Background of an Asymptotically Flat Black Hole

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