Atomic nonclassicality quasiprobabilities

Kiesel, T.; Vogel, W.; Christensen, Stephen; Béguin, J.-B.; Appel, J.; Polzik, E. S.

doi:10.1103/physreva.86.042108

Cited by 27 publications

(22 citation statements)

References 24 publications

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“…For the application of the construction scheme ofŴ r from a general Hermitian operatorK [see Eqs. (8) and (9)], we need to compute the value of b r (K). This parameter is defined as the least upper bound of the normalized expectation value ofK for elements in S r .…”

Section: Optimization Problemmentioning

confidence: 99%

Witnessing the degree of nonclassicality of light

et al. 2014

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We introduce an experimentally accessible method to measure a unique degree of nonclassicality, based on the quantum superposition principle, for arbitrary quantum states. We formulate witnesses and test a given state for any particular value of this measure. The construction of optimal tests is presented as well as the general numerical implementation. We apply this approach on examples such as squeezed states, and we show how to formulate conditions to certify a particular degree of nonclassicality for single- and multimode radiation fields.Comment: 9 pages, 3 figure

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Section: Optimization Problemmentioning

confidence: 99%

Witnessing the degree of nonclassicality of light

et al. 2014

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“…[37,51,[56][57][58]. The general form of a matrix of moments for an operator X is given by: [56,57] requires however photon-number resolving detectors and although the non-classicality tests are formulated directly in terms of the characteristic function they are afflicted with the same disadvantage [59,60].…”

Section: Matrices Of Moments: Tool For Entanglement Verificationmentioning

confidence: 99%

Nonclassicality tests and entanglement witnesses for macroscopic mechanical superposition states

et al. 2015

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We describe a set of measurement protocols for performing non-classicality tests and the verification of entangled superposition states of macroscopic continuous variable systems, such as nanomechanical resonators. Following earlier works, we first consider a setup where a two-level system is used to indirectly probe the motion of the mechanical system via Ramsey measurements and discuss the application of this methods for detecting non-classical mechanical states. We then show that the generalization of this techniques to multiple resonator modes allows the conditioned preparation and the detection of entangled mechanical superposition states. The proposed measurement protocols can be implemented in various qubit-resonator systems that are currently under experimental investigation and find applications in future tests of quantum mechanics at a macroscopic scale.

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“…The characteristic function (27) exceeds the value of 1 only for relatively large values of |β|. However, the number of data points needed to certify nonclassicality significantly by using the CF criterion (22) (see [39,41]) grows exponentially with increasing |β| [42].…”

Section: Completely Dephased Squeezed Vacuum Statementioning

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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Atomic nonclassicality quasiprobabilities

Cited by 27 publications

References 24 publications

Witnessing the degree of nonclassicality of light

Witnessing the degree of nonclassicality of light

Nonclassicality tests and entanglement witnesses for macroscopic mechanical superposition states

Visualizing nonclassical effects in phase space

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