Logical Contradiction

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D Goldstick - One of the best experts on this subject based on the ideXlab platform.

Samuel J Hile - One of the best experts on this subject based on the ideXlab platform.

  • effective incidence angles of sky diffuse and ground reflected irradiance for various incidence angle modifier types
    Solar Energy, 2013
    Co-Authors: Ehud Strobach, D Faiman, Samuel James Bader, Samuel J Hile
    Abstract:

    Abstract A Logical Contradiction is pointed out involving the employment of some commonly used formulae for effective diffuse and reflected angles, when simulating the total irradiance on a tilted solar collector, in situations where the incidence angle modifier of the collector is known. By re-deriving the appropriate formulae for these effective incidence angles, it is found that the error involved in using the commonly used formulae is quite small in most practical cases. Differences are particularly small in the case of conventional photovoltaic panels, but may reach figures in the neighborhood of 5% for solar-thermal collectors.

Majumdar A. S. - One of the best experts on this subject based on the ideXlab platform.

  • "All-versus-nothing" proof of tripartite quantum steering and genuine entanglement certification in the two-sided device-independent scenario
    2021
    Co-Authors: Gupta Shashank, Das Debarshi, Jebarathinam C., Roy Arup, Datta Shounak, Majumdar A. S.
    Abstract:

    We consider the task of certification of genuine entanglement of tripartite states. We first present an "all-versus-nothing" proof of tripartite Einstein-Podolsky-Rosen (EPR) steering by demonstrating the non-existence of a local hidden state (LHS) model in the tripartite network as a motivation to our main result. A full Logical Contradiction of the predictions of the LHS model with quantum mechanical outcome statistics for any three-qubit generalized Greenberger-Horne-Zeilinger (GGHZ) states and pure W-class states is shown, using which, one can distinguish between the GGHZ and W-class states in the two-sided device-independent (2SDI) steering scenario. We next formulate a 2SDI fine-grained steering inequality for the tripartite scenario. We show that the maximum quantum violation of this FGI can be used to certify genuine entanglement of three-qubit pure states.Comment: Analysis and results strengthened (sharp Logical Contradiction proofs of W-class states added), comments are welcom

  • "All-versus-nothing" proof of tripartite quantum steering and genuine entanglement certification in the two-sided device-independent scenario
    2020
    Co-Authors: Gupta Shashank, Das Debarshi, Jebarathinam C., Roy Arup, Datta Shounak, Majumdar A. S.
    Abstract:

    We consider the task of genuine entanglement certification of tripartite states. For this purpose we first present an ``all-versus-nothing'' proof of tripartite Einstein-Podolsky-Rosen (EPR) steering by demonstrating the non-existence of a local hidden state (LHS) model in the two-sided device-independent (2SDI) framework. A full Logical Contradiction of the predictions of the LHS model with quantum mechanical outcome statistics for any three-qubit generalized Greenberger-Horne-Zeilinger (GGHZ) states is shown. Using this result we next formulate a 2SDI steering inequality which is a generalisation of the fine-grained steering inequality (FGI) for the tripartite scenario. We show that the maximum quantum violation of this tripartite FGI can be used to certify genuine entanglement of three-qubit pure states. Finally, we show that the maximum quantum violation of our tripartite FGI together with an additional condition on the correlations can be used for robust self-testing of the GGHZ states.Comment: 17 pages, 6 figure

Ehud Strobach - One of the best experts on this subject based on the ideXlab platform.

  • effective incidence angles of sky diffuse and ground reflected irradiance for various incidence angle modifier types
    Solar Energy, 2013
    Co-Authors: Ehud Strobach, D Faiman, Samuel James Bader, Samuel J Hile
    Abstract:

    Abstract A Logical Contradiction is pointed out involving the employment of some commonly used formulae for effective diffuse and reflected angles, when simulating the total irradiance on a tilted solar collector, in situations where the incidence angle modifier of the collector is known. By re-deriving the appropriate formulae for these effective incidence angles, it is found that the error involved in using the commonly used formulae is quite small in most practical cases. Differences are particularly small in the case of conventional photovoltaic panels, but may reach figures in the neighborhood of 5% for solar-thermal collectors.

Gupta Shashank - One of the best experts on this subject based on the ideXlab platform.

  • "All-versus-nothing" proof of tripartite quantum steering and genuine entanglement certification in the two-sided device-independent scenario
    2021
    Co-Authors: Gupta Shashank, Das Debarshi, Jebarathinam C., Roy Arup, Datta Shounak, Majumdar A. S.
    Abstract:

    We consider the task of certification of genuine entanglement of tripartite states. We first present an "all-versus-nothing" proof of tripartite Einstein-Podolsky-Rosen (EPR) steering by demonstrating the non-existence of a local hidden state (LHS) model in the tripartite network as a motivation to our main result. A full Logical Contradiction of the predictions of the LHS model with quantum mechanical outcome statistics for any three-qubit generalized Greenberger-Horne-Zeilinger (GGHZ) states and pure W-class states is shown, using which, one can distinguish between the GGHZ and W-class states in the two-sided device-independent (2SDI) steering scenario. We next formulate a 2SDI fine-grained steering inequality for the tripartite scenario. We show that the maximum quantum violation of this FGI can be used to certify genuine entanglement of three-qubit pure states.Comment: Analysis and results strengthened (sharp Logical Contradiction proofs of W-class states added), comments are welcom

  • "All-versus-nothing" proof of tripartite quantum steering and genuine entanglement certification in the two-sided device-independent scenario
    2020
    Co-Authors: Gupta Shashank, Das Debarshi, Jebarathinam C., Roy Arup, Datta Shounak, Majumdar A. S.
    Abstract:

    We consider the task of genuine entanglement certification of tripartite states. For this purpose we first present an ``all-versus-nothing'' proof of tripartite Einstein-Podolsky-Rosen (EPR) steering by demonstrating the non-existence of a local hidden state (LHS) model in the two-sided device-independent (2SDI) framework. A full Logical Contradiction of the predictions of the LHS model with quantum mechanical outcome statistics for any three-qubit generalized Greenberger-Horne-Zeilinger (GGHZ) states is shown. Using this result we next formulate a 2SDI steering inequality which is a generalisation of the fine-grained steering inequality (FGI) for the tripartite scenario. We show that the maximum quantum violation of this tripartite FGI can be used to certify genuine entanglement of three-qubit pure states. Finally, we show that the maximum quantum violation of our tripartite FGI together with an additional condition on the correlations can be used for robust self-testing of the GGHZ states.Comment: 17 pages, 6 figure

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