Nonclassicality filters and quasiprobabilities

Kiesel, T.; Vogel, W.

doi:10.1103/physreva.82.032107

Cited by 76 publications

(125 citation statements)

References 23 publications

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“…For the harmonic oscillator we have shown [18] that for any nonclassical state one finds a nonclassicality quasiprobability demonstrating negativities by simply varying a real parameter w that scales the filter width.…”

Section: Atomic Nonclassicality Quasiprobabilitiesmentioning

confidence: 98%

“…Since the autocorrelation function [Eq. (18)] fulfills the requirements of a filter function as listed in the theory part by construction, the negativities of the AQQP clearly reflect the nonclassicality of the quantum state.…”

Section: Verification Of Nonclassicalitymentioning

confidence: 99%

“…To get definite answers about nonclassical effects, one may introduce a filtered atomic P function, in close analogy to that of the harmonic oscillator [18]. For atomic systems, one multiplies the characteristic function (ξ ) of P (θ,ϕ),…”

Section: Atomic Nonclassicality Quasiprobabilitiesmentioning

confidence: 99%

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Atomic nonclassicality quasiprobabilities

et al. 2012

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Although nonclassical quantum states are important both conceptually and as a resource for quantum technology, it is often difficult to test whether a given quantum system displays nonclassicality. A simple method to certify nonclassicality is introduced, based on easily accessible collective atomic quadrature measurements, without the need of full state tomography. The statistics is analyzed beyond the ground-state noise level, by direct sampling of a regularized atomic quadrature quasiprobability. Nonclassicality of a squeezed ensemble of 2x10^5 Cesium atoms is demonstrated, with a significance of up to 23 standard deviations.Comment: 5 pages, 2 figure

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Section: Atomic Nonclassicality Quasiprobabilitiesmentioning

confidence: 98%

Section: Verification Of Nonclassicalitymentioning

confidence: 99%

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Atomic nonclassicality quasiprobabilities

et al. 2012

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“…(16)] of five standard deviations. We will refer to this number N simply as the required number of data points.…”

Section: Optimal Filter For Experimental Quantum State Reconstrumentioning

confidence: 99%

“…A universal method for verifying nonclassicality introduces a regularized P function by applying a so-called nonclassicality filter [16]. Negativities of this regularized function are proof of the nonclassicality of the state.…”

Section: Introductionmentioning

confidence: 99%

Visualizing nonclassical effects in phase space

Kuhn

Vogel

2014

Phys. Rev. A

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Nonclassicality filters provide a universal method to visualize the nonclassicality of arbitrary quantum states of light through negativities of a regularized Glauber-Sudarshan P function, also denoted as nonclassicality quasiprobability. Such filters are introduced and analyzed for optimizing the experimental certification of nonclassical effects. An analytic filter is constructed which preserves the full information on the quantum state. For balanced homodyne detection, the number of data points is analyzed to get the negativities of the nonclassicality quasiprobability with high statistical significance. The method is applied to different scenarios, such as phase randomized squeezed vacuum states, single-photon-added thermal states, and heralded state engineering with array detectors. The generalization to visualize quantum correlations of multimode radiation fields is also considered.

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Quantifying Quantum Correlation of Quasi‐Werner State and Probing Its Suitability for Quantum Teleportation

2021

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The significance of photon addition in engineering the single‐ and two‐mode (bipartite correlations) nonclassical properties of a quantum state is investigated. Specifically, the behavior of the Wigner function of two quasi‐Werner states constructed by superposing two normalized bipartite m‐photon added coherent states are analyzed. This allows the authors' to quantify the nonclassicality present in the quantum states using Wigner logarithmic negativity (WLN), while quantum correlations are measured using concurrence, entanglement of formation, and quantum discord. The WLN for a two‐mode state corresponds to the sum of the single‐mode nonclassicality and quantum correlations, and both of these are observed to enhance with photon addition manifesting the efficacy of photon addition in the entanglement distillation. Usefulness of photon addition is further established by showing that the performance of the quasi‐Werner states as quantum channel for the teleportation of single‐mode coherent and squeezed states, as quantified via teleportation fidelity, improves with the photon addition. The non‐Gaussian operation is shown effective in stalling the detrimental effects of transmission through noisy channel and/or inefficient detection under realistic scenario. Further, in contrast to a set of existing results, it is established that the negative values of two‐mode Wigner function is not a witness of quantum correlation.

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Nonclassicality filters and quasiprobabilities

Cited by 76 publications

References 23 publications

Atomic nonclassicality quasiprobabilities

Atomic nonclassicality quasiprobabilities

Visualizing nonclassical effects in phase space

Quantifying Quantum Correlation of Quasi‐Werner State and Probing Its Suitability for Quantum Teleportation

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