Full Characterization

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Stephen M. Barnett - One of the best experts on this subject based on the ideXlab platform.

  • Full Characterization of the quantum spiral bandwidth of entangled biphotons
    Physical Review A, 2011
    Co-Authors: Filippo M. Miatto, Alison M. Yao, Stephen M. Barnett
    Abstract:

    Spontaneous parametric down conversion has been shown to be a reliable source of entangled photons. Amongst the wide range of properties that have been shown to be entangled, it is the orbital angular momentum that is the focus of our study. We investigate, in particular, the bi-photon state generated using a Gaussian pump beam. We derive an expression for the simultaneous correlations in the orbital angular momentum and radial momentum of the down-converted Laguerre-Gaussian beams. Our result allows us, for example, to calculate the spiral bandwidth with no restriction on the geometry of the beams: $\ell$, $p$ and the beam widths are all free parameters. Moreover, we show that, with the usual paraxial and collinear approximations, a Fully analytic expression for the correlations can be derived.Comment: 10 pages, 10 figure

  • Full Characterization of the quantum spiral bandwidth of entangled biphotons
    Physical Review A, 2011
    Co-Authors: Filippo M. Miatto, Alison M. Yao, Stephen M. Barnett
    Abstract:

    Spontaneous parametric down-conversion has been shown to be a reliable source of entangled photons. Among the wide range of properties shown to be entangled, it is the orbital angular momentum that is the focus of our study. We investigate, in particular, the bi-photon state generated using a Gaussian pump beam. We derive an expression for the simultaneous correlations in the orbital angular momentum, l, and radial momentum, p, of the down-converted Laguerre-Gaussian beams. Our result allows us, for example, to calculate the spiral bandwidth with no restriction on the geometry of the beams: l, p, and the beam widths are all free parameters. Moreover, we show that, with the usual paraxial and collinear approximations, a Fully analytic expression for the correlations can be derived.

Glenn S. Solomon - One of the best experts on this subject based on the ideXlab platform.

  • Simultaneous, Full Characterization of a single-photon state
    Physical Review X, 2017
    Co-Authors: Tim Thomay, O. Gazzano, Elizabeth A. Goldschmidt, Sergey V. Polyakov, Vivien Loo, Zachary Eldredge, Tobias Huber, Glenn S. Solomon
    Abstract:

    As single-photon sources become more mature and are used more often in quantum information, communications and measurement applications, their Characterization becomes more important. Single-photon-like light is often characterized by its brightness, and two quantum properties: the single-photon composition and the photon indistinguishability. While it is desirable to obtain these quantities from a single measurement, currently two or more measurements are required. Here, we simultaneously determine the brightness, the single photon purity, the indistinguishability, and the statistical distribution of Fock states to third order for a quantum light source. The measurement uses a pair of two-photon (n = 2) number-resolving detectors. n > 2 number-resolving detectors provide no additional advantage in the single-photon Characterization. The new method extracts more information per experimental trial than a conventional measurement for all input states, and is particularly more e cient for statistical mixtures of photon states. Thus, using this n=2, number- resolving detector scheme will provide advantages in a variety of quantum optics measurements and systems.

  • Simultaneous, Full Characterization of a single-photon state
    Quantum Information and Measurement (QIM) 2017, 2017
    Co-Authors: O. Gazzano, Tim Thomay, Elizabeth A. Goldschmidt, Sergey V. Polyakov, Vivien Loo, Glenn S. Solomon
    Abstract:

    Nonclassical light can be characterized by the state purity and indistinguishability, usually using multiple measurements. We demonstrate an efficient scheme to simultaneously characterize a quantum light source using two number-resolving detectors, here simulated by four single-photon detectors.

  • Single-shot, Full Characterization of a single-photon state
    Conference on Lasers and Electro-Optics, 2016
    Co-Authors: O. Gazzano, Tim Thomay, Elizabeth A. Goldschmidt, Sergey V. Polyakov, Vivien Loo, Glenn S. Solomon
    Abstract:

    Quantum light parameters (purity, indistinguishability, …) are usually determined using multiple sequential measurements. We demonstrate an efficient single-shot scheme to characterize a quantum dot light using two number-resolving detectors, here simulated by four single-photon detectors.

Filippo M. Miatto - One of the best experts on this subject based on the ideXlab platform.

  • Full Characterization of the quantum spiral bandwidth of entangled biphotons
    Physical Review A, 2011
    Co-Authors: Filippo M. Miatto, Alison M. Yao, Stephen M. Barnett
    Abstract:

    Spontaneous parametric down conversion has been shown to be a reliable source of entangled photons. Amongst the wide range of properties that have been shown to be entangled, it is the orbital angular momentum that is the focus of our study. We investigate, in particular, the bi-photon state generated using a Gaussian pump beam. We derive an expression for the simultaneous correlations in the orbital angular momentum and radial momentum of the down-converted Laguerre-Gaussian beams. Our result allows us, for example, to calculate the spiral bandwidth with no restriction on the geometry of the beams: $\ell$, $p$ and the beam widths are all free parameters. Moreover, we show that, with the usual paraxial and collinear approximations, a Fully analytic expression for the correlations can be derived.Comment: 10 pages, 10 figure

  • Full Characterization of the quantum spiral bandwidth of entangled biphotons
    Physical Review A, 2011
    Co-Authors: Filippo M. Miatto, Alison M. Yao, Stephen M. Barnett
    Abstract:

    Spontaneous parametric down-conversion has been shown to be a reliable source of entangled photons. Among the wide range of properties shown to be entangled, it is the orbital angular momentum that is the focus of our study. We investigate, in particular, the bi-photon state generated using a Gaussian pump beam. We derive an expression for the simultaneous correlations in the orbital angular momentum, l, and radial momentum, p, of the down-converted Laguerre-Gaussian beams. Our result allows us, for example, to calculate the spiral bandwidth with no restriction on the geometry of the beams: l, p, and the beam widths are all free parameters. Moreover, we show that, with the usual paraxial and collinear approximations, a Fully analytic expression for the correlations can be derived.

Naoki Yoshihara - One of the best experts on this subject based on the ideXlab platform.

  • Partially-honest Nash implementation: a Full Characterization
    Economic Theory, 2019
    Co-Authors: Michele Lombardi, Naoki Yoshihara
    Abstract:

    Given the framework introduced by Dutta and Sen (2012), this paper offers a comprehensive analysis of (Nash) implementation with partially honest agents when there are three or more participants. First, it establishes a condition which is necessary and sufficient for implementation. Second, it provides simple tests for checking whether or not a social choice correspondence can be implemented. Their usefulness is shown by examining implementation in a wide variety of environments.

  • A Full Characterization of Nash Implementation with Strategy Space Reduction
    Economic Theory, 2012
    Co-Authors: Michele Lombardi, Naoki Yoshihara
    Abstract:

    The paper Fully characterizes the class of Nash implementable social choice correspondences (SCCs) by mechanisms endowed with Saijo’s message space specification—\(s\)-mechanisms. This class of SCCs is equivalent to the class of Nash implementable SCCs, though any game form involving ‘one less’ preference announcements breaks this equivalence relationship down.

  • A Full Characterization of Nash implementation with strategy space reduction
    Meteor Research Memorandum, 2010
    Co-Authors: Michele Lombardi, Naoki Yoshihara
    Abstract:

    Noting that a Full Characterization of Nash-implementation is given using a canonical-mechanism and Maskin''s theorem (Maskin, 1999) is shown using a mechanism with Saijo''s type of strategy space reduction (Saijo, 1988), this paper Fully characterizes the class of Nash-implementable social choice correspondences (SCCs) by mechanisms with the strategy space reduction, which is further shown to be equivalent to the class of Nash-implementable SCCs.

Alison M. Yao - One of the best experts on this subject based on the ideXlab platform.

  • Full Characterization of the quantum spiral bandwidth of entangled biphotons
    Physical Review A, 2011
    Co-Authors: Filippo M. Miatto, Alison M. Yao, Stephen M. Barnett
    Abstract:

    Spontaneous parametric down conversion has been shown to be a reliable source of entangled photons. Amongst the wide range of properties that have been shown to be entangled, it is the orbital angular momentum that is the focus of our study. We investigate, in particular, the bi-photon state generated using a Gaussian pump beam. We derive an expression for the simultaneous correlations in the orbital angular momentum and radial momentum of the down-converted Laguerre-Gaussian beams. Our result allows us, for example, to calculate the spiral bandwidth with no restriction on the geometry of the beams: $\ell$, $p$ and the beam widths are all free parameters. Moreover, we show that, with the usual paraxial and collinear approximations, a Fully analytic expression for the correlations can be derived.Comment: 10 pages, 10 figure

  • Full Characterization of the quantum spiral bandwidth of entangled biphotons
    Physical Review A, 2011
    Co-Authors: Filippo M. Miatto, Alison M. Yao, Stephen M. Barnett
    Abstract:

    Spontaneous parametric down-conversion has been shown to be a reliable source of entangled photons. Among the wide range of properties shown to be entangled, it is the orbital angular momentum that is the focus of our study. We investigate, in particular, the bi-photon state generated using a Gaussian pump beam. We derive an expression for the simultaneous correlations in the orbital angular momentum, l, and radial momentum, p, of the down-converted Laguerre-Gaussian beams. Our result allows us, for example, to calculate the spiral bandwidth with no restriction on the geometry of the beams: l, p, and the beam widths are all free parameters. Moreover, we show that, with the usual paraxial and collinear approximations, a Fully analytic expression for the correlations can be derived.