The Experts below are selected from a list of 288 Experts worldwide ranked by ideXlab platform

Richard Jozsa - One of the best experts on this subject based on the ideXlab platform.

  • Towards a Geometrical Interpretation of quantum-information compression
    Physical Review A, 2004
    Co-Authors: Graeme Mitchison, Richard Jozsa
    Abstract:

    Let S be the von Neumann entropy of a finite ensemble E of pure quantum states. We show that S may be naturally viewed as a function of a set of Geometrical volumes in Hilbert space defined by the states and that S is monotonically increasing in each of these variables. Since S is the Schumacher compression limit of E, this monotonicity property suggests a Geometrical Interpretation of the quantum redundancy involved in the compression process. It provides clarification of previous work in which it was shown that S may be increased while increasing the overlap of each pair of states in the ensemble. As a byproduct, our mathematical techniques also provide a new Interpretation of the subentropy of E.Comment: 11 pages, latex2

  • towards a Geometrical Interpretation of quantum information compression
    Physical Review A, 2004
    Co-Authors: Graeme Mitchison, Richard Jozsa
    Abstract:

    Let S be the von Neumann entropy of a finite ensemble E of pure quantum states. We show that S may be naturally viewed as a function of a set of Geometrical volumes in Hilbert space defined by the states and that S is monotonically increasing in each of these variables. Since S is the Schumacher compression limit of E, this monotonicity property suggests a Geometrical Interpretation of the quantum redundancy involved in the compression process. It provides clarification of previous work in which it was shown that S may be increased while increasing the overlap of each pair of states in the ensemble. As a by-product, our mathematical techniques also provide an Interpretation of the subentropy of E.

Soumitra Sengupta - One of the best experts on this subject based on the ideXlab platform.

  • a Geometrical Interpretation of parity violation in gravity with torsion
    Physics Letters B, 1999
    Co-Authors: Biswarup Mukhopadhyaya, Soumitra Sengupta
    Abstract:

    Abstract In a space-time with torsion, the action for the gravitational field can be extended with a parity-violating piece. We show how to obtain such a piece from geometry itself, by suitably modifying the affine connection so as to include a pseudo-tensorial part. The merit of such an approach is that it provides one with a consistent method for incorporating parity-violation in the Lagrangians for matter fields with arbitrary spin in a space-time background with torsion.

  • a Geometrical Interpretation of parity violation in gravity with torsion
    arXiv: High Energy Physics - Theory, 1998
    Co-Authors: Biswarup Mukhopadhyaya, Soumitra Sengupta
    Abstract:

    In a space-time with torsion, the action for the gravitational field can be extended with a parity-violating piece. We show how to obtain such a piece from geometry itself, by suitably modifying the affine connection so as to include a pseudo-tensorial part. A consistent method is thus suggested for incorporating parity-violation in the Lagrangians of all matter fields with spin in a space-time background with torsion.

Graeme Mitchison - One of the best experts on this subject based on the ideXlab platform.

  • Towards a Geometrical Interpretation of quantum-information compression
    Physical Review A, 2004
    Co-Authors: Graeme Mitchison, Richard Jozsa
    Abstract:

    Let S be the von Neumann entropy of a finite ensemble E of pure quantum states. We show that S may be naturally viewed as a function of a set of Geometrical volumes in Hilbert space defined by the states and that S is monotonically increasing in each of these variables. Since S is the Schumacher compression limit of E, this monotonicity property suggests a Geometrical Interpretation of the quantum redundancy involved in the compression process. It provides clarification of previous work in which it was shown that S may be increased while increasing the overlap of each pair of states in the ensemble. As a byproduct, our mathematical techniques also provide a new Interpretation of the subentropy of E.Comment: 11 pages, latex2

  • towards a Geometrical Interpretation of quantum information compression
    Physical Review A, 2004
    Co-Authors: Graeme Mitchison, Richard Jozsa
    Abstract:

    Let S be the von Neumann entropy of a finite ensemble E of pure quantum states. We show that S may be naturally viewed as a function of a set of Geometrical volumes in Hilbert space defined by the states and that S is monotonically increasing in each of these variables. Since S is the Schumacher compression limit of E, this monotonicity property suggests a Geometrical Interpretation of the quantum redundancy involved in the compression process. It provides clarification of previous work in which it was shown that S may be increased while increasing the overlap of each pair of states in the ensemble. As a by-product, our mathematical techniques also provide an Interpretation of the subentropy of E.

Biswarup Mukhopadhyaya - One of the best experts on this subject based on the ideXlab platform.

  • a Geometrical Interpretation of parity violation in gravity with torsion
    Physics Letters B, 1999
    Co-Authors: Biswarup Mukhopadhyaya, Soumitra Sengupta
    Abstract:

    Abstract In a space-time with torsion, the action for the gravitational field can be extended with a parity-violating piece. We show how to obtain such a piece from geometry itself, by suitably modifying the affine connection so as to include a pseudo-tensorial part. The merit of such an approach is that it provides one with a consistent method for incorporating parity-violation in the Lagrangians for matter fields with arbitrary spin in a space-time background with torsion.

  • a Geometrical Interpretation of parity violation in gravity with torsion
    arXiv: High Energy Physics - Theory, 1998
    Co-Authors: Biswarup Mukhopadhyaya, Soumitra Sengupta
    Abstract:

    In a space-time with torsion, the action for the gravitational field can be extended with a parity-violating piece. We show how to obtain such a piece from geometry itself, by suitably modifying the affine connection so as to include a pseudo-tensorial part. A consistent method is thus suggested for incorporating parity-violation in the Lagrangians of all matter fields with spin in a space-time background with torsion.

C. Xiang - One of the best experts on this subject based on the ideXlab platform.

  • Geometrical Interpretation and architecture selection of MLP
    IEEE transactions on neural networks, 2005
    Co-Authors: C. Xiang, S.q. Ding, Tong Heng Lee
    Abstract:

    A Geometrical Interpretation of the multilayer perceptron (MLP) is suggested in this paper. Some general guidelines for selecting the architecture of the MLP, i.e., the number of the hidden neurons and the hidden layers, are proposed based upon this Interpretation and the controversial issue of whether four-layered MLP is superior to the three-layered MLP is also carefully examined.

  • Architecture analysis of MLP by Geometrical Interpretation
    2004 International Conference on Communications Circuits and Systems (IEEE Cat. No.04EX914), 2004
    Co-Authors: C. Xiang, S.q. Ding
    Abstract:

    Traditionally, the main focus regarding the architecture selection of a multilayer perceptron (MLP) has been centered upon the growing and pruning and the evolutionary algorithms, in which a priori information regarding the Geometrical shape of the target function is usually not exploited. In contrast to this, we demonstrate that it is the Geometrical information that can simplify the task of architecture selection significantly. We wish to suggest some general guidelines for selecting the architecture of the MLP, provided that the basic Geometrical shape of the target function is known in advance, or can be perceived from the training data. These guidelines are based on the Geometrical Interpretation of the weights, the biases, and the number of hidden neurons and layers. The controversial issue of whether the four-layered MLP is superior to the three-layered MLP is also carefully examined with this Geometrical Interpretation.