Výsledky vyhledávání - "Uwano, Yoshio"

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All the trajectories of an extended averaged Hebbian learning equation on the quantum state space are the e-geodesics

Autor: Uwano, Yoshio

Publikováno v: Mathematical Modeling and Geometry, vol.4, pp.19-33 (2016)

In this paper, two families of trajectories on the quantum state space (QSS) originating from a synaptic-neuron model and from quantum information geometry meet together. The extended averaged Hebbian learning equation (EAHLE) on the QSS developed by

Externí odkaz: http://arxiv.org/abs/1601.07983

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A gradient system on the quantum information space realizing the averaged learning equation of Hebb type

Autor: Uwano, Yoshio, Yuya, Hiromi

Publikováno v: Far East Journal of Applied Mathematics, vol.47, pp.149-167 (2010)

The averaged learning equation (ALEH) applicable to the principal component analyzer is studied from both quantum information geometry and dynamical system viewpoints. On the quantum information space (QIS), the space of regular density matrices endo

Externí odkaz: http://arxiv.org/abs/0912.3328

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A gradient system on the quantum information space that realizes the Karmarkar flow for linear programming

Autor: Uwano, Yoshio, Yuya, Hiromi

Publikováno v: New Trends in Quantum Information (Eds. Ammar Sakaji et al), Aracne Editorice (Rome,2010), pp.257-276 (revised and enlarged version)

In the paper of Uwano [Czech. J. of Phys., vol.56, pp.1311-1316 (2006)], a gradient system is found on the space of density matrices endowed with the quantum SLD Fisher metric (to be referred to as the quantum information space) that realizes a gener

Externí odkaz: http://arxiv.org/abs/0807.4053

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Certain integrable system on a space associated with a quantum search algorithm

Autor: Uwano, Yoshio, Hino, Hideitsu, Ishiwatari, Yasue

On thinking of a Grover-type quantum search algorithm for an ordered tuple of multi-qubit states, a gradient system associated with the negative von-Neumann entropy is studied on the space of regular relative-configurations of multi-qubit states (SR$

Externí odkaz: http://arxiv.org/abs/nlin/0512004

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Separability and the Birkhoff-Gustavson Normalization of the Perturbed Harmonic Oscillators with Homogeneous Polynomial Potentials

Autor: Uwano, Yoshio

In this paper, separability of the perturbed two-dimensional isotropic harmonic oscillators with homogeneous polynomial potentials is characterized from their Birkhoff-Gustavson (BG) normalization, one of the conventional methods for non-integrable H

Externí odkaz: http://arxiv.org/abs/nlin/0304009

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The inverse problem of the Birkhoff-Gustavson normalization and ANFER, Algorithm of Normal Form Expansion and Restoration

Autor: Uwano, Yoshio

In the series of papers [1-4], the inverse problem of the Birkhoff-Gustavson normalization was posed and studied. To solve the inverse problem, the symbolic-computing program named ANFER (Algorithm of Normal Form Expansion and Restoration) is written

Externí odkaz: http://arxiv.org/abs/math/0009212

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From the Birkhoff-Gustavson normalization to the Bertrand-Darboux integrability condition

Autor: Uwano, Yoshio

Publikováno v: Journal of Physics A, vol.33, 6635-6653 (2000)

The Bertrand-Darboux integrability condition for a certain class of perturbed harmonic oscillators is studied from the viewpoint of the Birkhoff-Gustavson(BG)-normalization: By solving an inverse problem of the BG-normalization on computer algebra, i

Externí odkaz: http://arxiv.org/abs/nlin/0005027

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