Gaussian quantum discord and EPR steering in optomechanical system

Amazioug, M.; Nassik, Mostafa; Habiballah, Nabil

doi:10.1016/j.ijleo.2017.12.160

Cited by 18 publications

(7 citation statements)

References 27 publications

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“…3(d) . Here, in a region, where the logarithmic negativity is zero, the Gaussian quantum discord appears non zero 24 . The behavior of the discord does not tell us whether the state is separable or inseparable.…”

Section: Resultsmentioning

confidence: 99%

“…Bell non-locality, quantum steering, quantum entanglement, quantum discord, and quantum coherence 2 – 16 , mainly due to their useful applications to quantum information processing. In general, all kinds of quantum correlations satisfy the conditions: quantum coherence ⊇ quantum discord ⊇ quantum entanglement ⊇ quantum steering ⊇ Bell non-locality 3 , 17 – 24 where, for example, P ⊇ Q means P is the superset of Q . This reveals that steerable states are a strict subset of the entangled states and a strict superset of the states that may exhibit Bell non-locality and similarly to the others, the so-called hierarchy relations of the quantum correlations.…”

Section: Introductionmentioning

confidence: 99%

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Hierarchy of quantum correlations using a linear beam splitter

Qureshi

Ullah

Ghafoor

2018

Sci Rep

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Beam splitters are important components in numerous tasks of quantum information protocols used either in simple or in an interferometric arrangement or together with other quantum systems. This report shows interesting aspects of the quantum correlations of two-mode Gaussian state (TMGS) for the photons retrieved via a linear beam splitter when they are initially employed at the input of either pure or mixed two single-mode Gaussian states (TSMGSs). The quantum correlations obey the boundaries of quantum non-locality, steering, entanglement and discord for pure input states. Though Bell inequality does not violate, quantum steering, entanglement and discord exist in the quantum state evolved by the beam splitter when input states become mixed. Specifically, the quantum steering, entanglement and discord persist to some degrees against the thermal photon number, the Bell inequality is, nonetheless, obeyed by the quantum state except in a very sharp regime.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hierarchy of quantum correlations using a linear beam splitter

Qureshi

Ullah

Ghafoor

2018

Sci Rep

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show abstract

“…( 5)(c). The measurement of Gaussian steering is always bounded by the entanglement E N as also discussed in [61]. Finally, the asymmetric steering S A is always less than ln(2), which is maximal when the state is nonsteerable in one-way i.e.…”

Section: Results and Discusionmentioning

confidence: 86%

Coherent feedback control of quantum correlations in cavity magnomechanical system with magnon squeezing

M.¹,

K.²,

Teklu³

et al. 2023

Preprint

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We address a scheme to enhance the quantum correlations in cavity opto-magnomechanical system by using the coherent feedback loop in the presence of magnon squeezing. The proposed coherent feedback-control allows a significant enhancement of the entanglement of three bipartite subsystems, i.e., photon-phonon, photonmagnon and phonon-magnon. We also study the Einstein-Podolsky-Rosen steering and one-way steering in the presence of thermal effects without imposing additional conditions of asymmetric losses or noises in the subsystems. Furthermore, we investigate the sensitiveness of the scheme to the magnon squeezing, and its performance in non-ideal situations in which losses and noises are taken into account.

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“…Recently, a strict hierarchy relation of various kinds of quantum correlations in different passive and active quantum systems is shown, for instance, in a linear beam splitter [22], correlated spontaneous emission laser [23], and non-linear parametric converter [24]. In these contributions, the authors analysed that quantum discord [25,26] is the super set of quantum entanglement [27][28][29][30][31], steering [32,33], and non-locality [34]. It is worth mentioning that, as compared to entanglement, quantum discord is highly robust toward decoherences such as depolarizing, dephasing, and in general to amplitude damping [35,36].…”

Section: Introductionmentioning

confidence: 99%

Coherence controlled generation of Gaussian quantum discord in a quantum beat laser

2023

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Quantum discord, an appropriate measure of quantum correlation, is analyzed in a two-mode Gaussian state of the cavity field evolved by a system of quantum beat laser. In the laser system, two arbitrary single-mode Gaussian states of the cavity fields and an external classical field couple to the atomic lasing medium. We calculate the time-dependent expression for the quantum discord both analytically and numerically, by following the reduced density matrix equation of the resulting cavity field. In this framework, we investigate the generation and control of Gaussian quantum discord in the two-mode Gaussian state of the cavity field at the output in terms of the purity and non-classicality of the two input cavity modes, the Rabi frequency of the classical driving field, the relative phase of the coupling parameters, and the damping rates of the cavity modes. The behaviour of quantum discord appears oscillatory due to the quantum beats in the output cavity field developed by the classical driving field in the medium as time passes. Moreover, we find that quantum discord switches on and off while adjusting the relative phase of the coupling parameters. Analysis of the analytical results agrees well with our numerical simulations.

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Gaussian quantum discord and EPR steering in optomechanical system

Cited by 18 publications

References 27 publications

Hierarchy of quantum correlations using a linear beam splitter

Hierarchy of quantum correlations using a linear beam splitter

Coherent feedback control of quantum correlations in cavity magnomechanical system with magnon squeezing

Coherence controlled generation of Gaussian quantum discord in a quantum beat laser

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