Quantifying quantum correlations in noisy Gaussian channels

Lahlou, Yassine Ben; Bakmou, L.; Maroufi, B.; Daoud, Mohammed

doi:10.1007/s11128-022-03597-4

Cited by 3 publications

(1 citation statement)

References 56 publications

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“…[6] Their significance extends across a spectrum of domains, encompassing quantum communication, quantum computing, [7][8][9] quantum cryptography, [10][11][12] and quantum metrology. [13][14][15][16] In light of this profound relevance, the study of quantum correlations has emerged as a captivating research domain within quantum information theory, encompassing both theoretical and experimental explorations. Notably, dedicated efforts are underway to generate these nonclassical correlations and ascertain optimal approaches for their manipulation and utilization as valuable resources for innovative information processing protocols.…”

Section: Introductionmentioning

confidence: 99%

Quantum correlations and entanglement in coupled optomechanical resonators with photon hopping via Gaussian interferometric power analysis

Lahlou,

Maroufi,

Daoud

2024

Chinese Phys. B

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Quantum correlations that surpass entanglement are of great importance in the realms of quantum information processing and quantum computation. Essentially, for quantum systems prepared in pure states, it is difficult to differentiate between quantum entanglement and quantum correlation. Nonetheless, this indistinguishability is no longer holds for mixed states. To contribute to a better understanding of this differentiation, we have explored a simple model for both generating and measuring these quantum correlations. Our study concerns two macroscopic mechanical resonators placed in separate Fabry-Perot cavities, coupled through the photon hopping process. this system offers a comprehensively way to investigate and quantify quantum correlations beyond entanglement between these mechanical modes. The key ingredient in analyzing quantum correlation in this system is the global covariance matrix. It forms the basis for computing two essential metrics: the Logarithmic Negativity ($E_\mathcal{N}^m$) and the Gaussian Interferometric Power ($\mathcal{P}_{\mathcal{G}}^{m}$). These metrics provide the tools to measure the degree of quantum entanglement and quantum correlations, respectively. Our study reveals, that the Gaussian Interferometric Power ($\mathcal{P}_{\mathcal{G}}^{m}$) proves to be a more suitable metric for characterizing quantum correlations among the mechanical modes in an optomechanical quantum system, particularly in scenarios featuring resilient photon hopping.

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Section: Introductionmentioning

confidence: 99%

Quantum correlations and entanglement in coupled optomechanical resonators with photon hopping via Gaussian interferometric power analysis

Lahlou,

Maroufi,

Daoud

2024

Chinese Phys. B

Self Cite

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Investigating entangled photons to quantify quantum correlations in dual optomechanical cavities.

Lahlou,

Maroufi,

Daoud

2024

Chinese Journal of Physics

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Quantifying quantum correlations beyond entanglement via robust photon hopping in an optomechanical system

Lahlou,

Maroufi,

Daoud

2023

Mod. Phys. Lett. A

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Quantum correlations beyond quantum entanglement represent vital resources in quantum information processing as well as in quantum computation. In fact, both quantum entanglement and quantum correlation are the same when the quantum system is described by pure states. However, this is not exactly the case when general mixed states are considered. In order to clarify this, a simple model has been proposed for the production and quantification of these quantum correlations between two mechanical resonators that are macroscopic in two Fabry–Pérot cavities optomechanical coupled by the photon hopping process. In this model, we analyze and investigate the quantification of the quantum correlation beyond the entanglement between the mechanical modes. We determine the global covariance matrix of the model from which we derive the expression of the entropy of formation ([Formula: see text]) as well as the Gaussian quantum discord ([Formula: see text]), which quantify the amount of quantum entanglement and quantum correlations, respectively. The analysis based on these two quantum correlations quantifiers shows that quantum discord is more appropriate to characterize the quantum correlations between the mechanical modes in an optomechanical quantum system in the presence of robust photon hopping.

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Quantifying quantum correlations in noisy Gaussian channels

Cited by 3 publications

References 56 publications

Quantum correlations and entanglement in coupled optomechanical resonators with photon hopping via Gaussian interferometric power analysis

Quantum correlations and entanglement in coupled optomechanical resonators with photon hopping via Gaussian interferometric power analysis

Investigating entangled photons to quantify quantum correlations in dual optomechanical cavities.

Quantifying quantum correlations beyond entanglement via robust photon hopping in an optomechanical system

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