Quantum steering borders in three-qubit systems

Kalaga, J. K.; Leoński, W.

doi:10.1007/s11128-017-1627-6

Cited by 29 publications

(13 citation statements)

References 62 publications

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“…We show that additional coupling which transforms the geometry of the model from the linear one to that of triangle form considerably changes the systems' ability to produce quantum steering effects. The system can be a physical realization of the ideas discussed in our previous paper [9].…”

Section: Introductionmentioning

confidence: 99%

“…It is important to consider not only such systems but also to determine the conditions for the most efficient steerable states generation. Moreover, as we have mentioned above that steering effects are strongly related to quantum entanglement [9], it is important to find the relation between the appearance of those two types of correlations in particular models. Therefore, we shall consider here one of the most promising models in a context of such problems.…”

Section: Introductionmentioning

confidence: 99%

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Quantum steering and entanglement in three-mode triangle Bose–Hubbard system

Kalaga

Leoński

Szczȩśniak

2017

Quantum Inf Process

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We consider the possibility of generation steerable states in Bose-Hubbard system composed of three interacting wells in the form of a triangle. We show that although our system still fulfills the monogamy relations, the presence of additional coupling which transforms a chain of wells onto triangle gives a variety of new possibilities for the generation of steerable quantum states. Deriving analytical formulas for the parameters describing steering and bipartite entanglement, we show that interplay between two couplings influences quantum correlations of various types. We compare the time evolution of steering parameters to those describing bipartite entanglement and find the relations between the appearance of maximal entanglement and disappearance of steering effect.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum steering and entanglement in three-mode triangle Bose–Hubbard system

Kalaga

Leoński

Szczȩśniak

2017

Quantum Inf Process

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“…It should be emphasized here that superconducting properties of the Ba-Ge type compounds are used for the implementation of systems that perform quantum information processing [4]. Relevant information on the various forms of quantum correlations can be found in [5][6][7][8]. Particularly noteworthy is [9], in which the arrangement called the nonlinear quantum scissors was proposed for the first time.…”

Section: Introductionmentioning

confidence: 99%

Characteristics of the s–Wave Symmetry Superconducting State in the BaGe3 Compound

et al. 2019

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Thermodynamic properties of the s–wave symmetry superconducting phase in three selected structures of the BaGe 3 compound ( P 6 3 / m m c , A m m 2 , and I 4 / m m m ) were discussed in the context of DFT results obtained for the Eliashberg function. This compound may enable the implementation of systems for quantum information processing. Calculations were carried out within the Eliashberg formalism due to the fact that the electron–phonon coupling constant falls within the range λ ∈ 0 . 73 , 0 . 86 . The value of the Coulomb pseudopotential was assumed to be 0 . 122 , in accordance with the experimental results. The value of the Coulomb pseudopotential was assumed to be 0 . 122 , in accordance with the experimental results. The existence of the superconducting state of three different critical temperature values, namely, 4 . 0 K, 4 . 5 K and 5 . 5 K, depending on the considered structure, was stated. We determined the differences in free energy ( Δ F ) and specific heat ( Δ C ) between the normal and the superconducting states, as well as the thermodynamic critical field ( H c ) as a function of temperature. A drop in the H c value to zero at the temperature of 4.0 K was observed for the P 6 3 / m m c structure, which is in good accordance with the experimental data. Further, the values of the dimensionless thermodynamic parameters of the superconducting state were estimated as: R Δ = 2 Δ ( 0 ) / k B T c ∈ { 3 . 68 , 3 . 8 , 3 . 8 } , R C = Δ C ( T c ) / C N ( T c ) ∈ { 1 . 55 , 1 . 71 , 1 . 75 } , and R H = T c C N ( T c ) / H c 2 ( 0 ) ∈ { 0 . 168 , 0 . 16 , 0 . 158 } , which are slightly different from the predictions of the Bardeen–Cooper–Schrieffer theory ( [ R Δ ] B C S = 3 . 53 , [ R C ] B C S = 1 . 43 , and [ R H ] B C S = 0 . 168 ). This is caused by the occurrence of small retardation and strong coupling effects.

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“…Various systems have been theoretically studied for the creation of quantum steering [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. The experimental realization of quantum steering has been accomplished in several systems [27][28][29][30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Creation of bipartite steering correlations by a fast damped auxiliary mode

Sun¹,

Zhang²,

Xia³

et al. 2018

J. Phys. B: At. Mol. Opt. Phys.

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We consider a three-mode system and show how steering correlations can be created between two modes of the system using the fast dissipation of the third mode. These correlations result in a directional form of entanglement, called quantum or EPR steering. We illustrate this on examples of the interactions among damped radiation modes in an optomechanical three-mode system. By assuming that one of the modes undergoes fast dissipation, we show that the coupling of that mode to one or two other modes of the system may result in oneor two-way quantum steering. Explicit analytical results are given for the steering parameters. We find that two modes coupled by the parametric-type interaction and damped with the same rates can be entangled but cannot exhibit quantum steering. When, in addition, one of the modes is coupled to a fast damped mode, steering correlations are created and the modes then exhibit one-way steering. The creation of the steering correlations is interpreted in the context of the variances of the quadrature components of the modes that the steering correlations result from an asymmetry in the variances of the quadrature components of the modes induced by the auxiliary mode. It is found that the fluctuations act directionally that quantum steering may occur only when the variance of the steering mode is larger that the variance of the steered mode. The scheme is shown to be quite robust against the thermal excitation of the modes if the fluctuations of the steering mode are larger than the fluctuations of the steered mode.

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Quantum steering borders in three-qubit systems

Cited by 29 publications

References 62 publications

Quantum steering and entanglement in three-mode triangle Bose–Hubbard system

Quantum steering and entanglement in three-mode triangle Bose–Hubbard system

Characteristics of the s–Wave Symmetry Superconducting State in the BaGe3 Compound

Creation of bipartite steering correlations by a fast damped auxiliary mode

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