Measures of non-Gaussianity for one-mode field states

Ghiu, Iulia; Marian, Paulina; Marian, Tudor A.

doi:10.1088/0031-8949/2013/t153/014028

Cited by 35 publications

(51 citation statements)

References 35 publications

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“…We have shown that decaying of non-Gaussianity was consistently pointed out by three distance-type measures. Thus, the fidelity-based degree, the Hilbert-Schmidt one, and the entropic measure evolve monotonically, as expected for any good measure of non-Gaussianity [9,10]. Moreover, we have compared this evolution to that of the photon-added thermal states which, by contrast, are non-classical.…”

Section: Discussionmentioning

confidence: 62%

“…Here we have performed numerically the corresponding summations making use of the probability distributions (2.3) and (3.2). As in the case of a PATS [9], non-Gaussianity of a PSTS increases with the number of subtracted photons. As one can see from Figure 1 of Ref.…”

Section: )(23)mentioning

confidence: 96%

“…In Refs. [9,10] we have recently studied the non-Gaussianity of M-photon-added thermal states and investigated their behaviour under damping. Their non-classicality was marked by the negativity of both Wigner and P functions surviving to some extent under damping as well.…”

Section: Multiple-photon-subtracted Thermal Statesmentioning

confidence: 99%

“…[6,7,9]. We just recall the three degrees of nonGaussianity written for a Fock-diagonal stateρ (our case in the following),…”

Section: )(23)mentioning

confidence: 99%

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Loss of non-Gaussianity for damped photon-subtracted thermal states

Ghiu¹,

Marian²,

Marian³

2014

Phys. Scr.

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Abstract. We investigate non-Gaussianity properties for a set of classical one-mode states obtained by subtracting photons from a thermal state. Three distance-type degrees of non-Gaussianity used for these states are shown to have a monotonic behaviour with respect to their mean photon number. Decaying of their nonGaussianity under damping is found to be consistently described by the distancetype measures considered here. We also compare the dissipative evolution of nonGaussianity when starting from M -photon-subtracted and M -photon-added thermal states.

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Section: Discussionmentioning

confidence: 62%

Section: )(23)mentioning

confidence: 96%

Section: Multiple-photon-subtracted Thermal Statesmentioning

confidence: 99%

“…[6,7,9]. We just recall the three degrees of nonGaussianity written for a Fock-diagonal stateρ (our case in the following),…”

Section: )(23)mentioning

confidence: 99%

See 2 more Smart Citations

Loss of non-Gaussianity for damped photon-subtracted thermal states

Ghiu¹,

Marian²,

Marian³

2014

Phys. Scr.

Self Cite

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“…a quantum state? Based on the Hilbert-Schmidt distance between ρ and a reference Gaussian state ρ G , we introduce the non-Gaussianity δ[ρ] of a quantum state [41,42] According to the lemmas in Ref. [41,43], we can know that δ[ρ] is a well-defined non-negative quantity and equals zero if and only if ρ is a Gaussian state.…”

Section: B Wigner Function Of the Mr And Non-gaussianitymentioning

confidence: 99%

Nonclassical non-Gaussian state of a mechanical resonator via selectively incoherent damping in a three-mode optomechanical system

et al. 2016

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We theoretically propose a scheme for the generation of a non-classical single-mode motional state of a mechanical resonator (MR) in the three-mode optomechanical systems, in which two optical modes of the cavities are linearly coupled to each other and one mechanical mode of the MR is optomechanically coupled to the two optical modes with the same coupling strength simultaneously. One cavity is driven by a coherent laser light. By properly tuning the frequency of the weak driving field, we obtain engineered Liouvillian superoperator via engineering the selective interaction Hamiltonian confined to the Fock subspaces. In this case, the motional state of the MR can be prepared into a non-Gaussian state, which possesses the sub-Poisson statistics although its Wigner function is positive.

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Revealing quantum correlation by negativity of the Wigner function

Taghiabadi

Akhtarshenas

Sarbishaei

2016

Quantum Inf Process

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We analyze two two-mode continuous variable separable states with the same marginal states. We adopt the definition of classicality in the form of well-defined positive Wigner function describing the state and find that although the states possess positive local Wigner functions, they exhibit negative Wigner functions for the global states. Using the negativity of Wigner function as an indicator of nonclassicality, we show that despite these states possess different negativities of the Wigner function, they do not reveal this difference as phase space nonclassicalities such as negativity of the Mandel $Q$ parameter or quadrature squeezing. We then concentrate on quantum correlation of these states and show that quantum discord and local quantum uncertainty, as two well-defined measures of quantum correlation, manifest the difference between negativity of the Wigner functions. The non-Gaussianity of these states is also examined and show that the difference in behavior of their non-Gaussianity is the same as the difference between negativity of their Wigner functions. We also investigate the influence of correlation rank criterion and find that when the states can be produced locally from classical states, the Wigner functions can not reveal their quantum correlations.Comment: 11 pages, 7 figure

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Measures of non-Gaussianity for one-mode field states

Cited by 35 publications

References 35 publications

Loss of non-Gaussianity for damped photon-subtracted thermal states

Loss of non-Gaussianity for damped photon-subtracted thermal states

Nonclassical non-Gaussian state of a mechanical resonator via selectively incoherent damping in a three-mode optomechanical system

Revealing quantum correlation by negativity of the Wigner function

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