Continuous variable methods in relativistic quantum information: characterization of quantum and classical correlations of scalar field modes in noninertial frames

Adesso, Gerardo; Ragy, Sammy; Girolami, Davide

doi:10.1088/0264-9381/29/22/224002

Cited by 29 publications

(31 citation statements)

References 83 publications

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“…In this recent work the discord was calculated for a two-mode squeezed state in the Unruh mode setting. We have verified that using an Unruh mode initial state and the optimal detector mode (18) in our setting, the covariance matrix (2) becomes identical to the one found in [19] after accounting for the different squeezing definition s → −s and making the replacement r = Arcsinh( n U ) which follows from equation (21). However, it should be noted that the discord calculated in [19] was a Renyi entropy characterized by α = 2, whereas α = 1 corresponds to the usual von Neumann entropy that we have used here.…”

supporting

confidence: 56%

Entanglement and discord: Accelerated observations of local and global modes

et al. 2013

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We investigate the amount of entanglement and quantum discord extractable from a two mode squeezed state as considered from the viewpoint of two observers, Alice (inertial) and Rob (accelerated). We find that using localized modes produces qualitatively different correlation properties for large accelerations than do Unruh modes. Specifically, the entanglement undergoes a sudden death as a function of acceleration and the discord asymptotes to zero in the limit of infinite acceleration. We conclude that the previous Unruh mode analyses do not determine the acceleration dependent entanglement and discord degradation of a given quantum state.

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confidence: 56%

Entanglement and discord: Accelerated observations of local and global modes

et al. 2013

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“…Second, if so, does the temperature depend linearly on the acceleration? To answer the first question let us recall the definition of a thermal state in the Gaussian formalism [25]. In the case of a single-mode thermal state, the covariance matrix is diagonal: σ therm d = diag(ν, ν), where ν is the state's symplectic eigenvalue.…”

Section: Non-perturbative Detection Of the Unruh Effect And Thermamentioning

confidence: 99%

Detectors for probing relativistic quantum physics beyond perturbation theory

et al. 2013

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We develop a general formalism for a non-perturbative treatment of harmonic-oscillator particle detectors in relativistic quantum field theory using continuous-variables techniques. By means of this we forgo perturbation theory altogether and reduce the complete dynamics to a readily solvable set of first-order, linear differential equations. The formalism applies unchanged to a wide variety of physical setups, including arbitrary detector trajectories, any number of detectors, arbitrary time-dependent quadratic couplings, arbitrary Gaussian initial states, and a variety of background spacetimes. As a first set of concrete results, we prove non-perturbatively-and without invoking Bogoliubov transformations-that an accelerated detector in a cavity evolves to a state that is very nearly thermal with a temperature proportional to its acceleration, allowing us to discuss the universality of the Unruh effect. Additionally we quantitatively analyze the problems of considering single-mode approximations in cavity field theory and show the emergence of causal behaviour when we include a sufficiently large number of field modes in the analysis. Finally, we analyze how the harmonic particle detector can harvest entanglement from the vacuum. We also study the effect of noise in time dependent problems introduced by suddenly switching on the interaction versus ramping it up slowly (adiabatic activation).

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“…One may clearly see that, compared with the classical correlation, the quantum discord will be more easily effected by the Earth's curved space-time. Such tendency has been firstly noted and extensively discussed in the previous works 44 . Moreover, the three type of correlations between mode b 1 and b 2 have exhibited very similar behaviors, i.e., they all initially increase for a specific range of height parameter h ≃ r A 2 and then gradually approach to a finite value with www.nature.com/scientificreports/ increasing h. One possible explanation to such findings lies in the different roles played by gravitational frequency shift and special relativistic effects, with the increase of the satellite's height.…”

Section: The Influence Of Earth's Curved Space-time On Three Types Ofmentioning

confidence: 69%

Characterization of quantum and classical correlations in the Earth’s curved space-time

Liu

Cao

2020

Sci Rep

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The preparation of quantum systems and the execution of quantum information tasks between distant users are always affected by gravitational and relativistic effects. In this work, we quantitatively analyze how the curved space-time background of the Earth affects the classical and quantum correlations between photon pairs that are initially prepared in a two-mode squeezed state. More specifically, considering the rotation of the Earth, the space-time around the Earth is described by the Kerr metric. Our results show that these state correlations, which initially increase for a specific range of satellite’s orbital altitude, will gradually approach a finite value with increasing height of satellite’s orbit (when the special relativistic effects become relevant). More importantly, our analysis demonstrates that the changes of correlations generated by the total gravitational frequency shift could reach the level of $$<0.5\%$$ < 0.5 % within the satellite’s height at geostationary Earth orbits.

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Continuous variable methods in relativistic quantum information: characterization of quantum and classical correlations of scalar field modes in noninertial frames

Cited by 29 publications

References 83 publications

Entanglement and discord: Accelerated observations of local and global modes

Entanglement and discord: Accelerated observations of local and global modes

Detectors for probing relativistic quantum physics beyond perturbation theory

Characterization of quantum and classical correlations in the Earth’s curved space-time

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