1 citations · 1 across the 6 of their papers we have counts for
6 papers
A gradient system on the quantum information space realizing the averaged learning equation of Hebb type
Yoshio Uwano, Hiromi Yuya
The averaged learning equation (ALEH) applicable to the principal component analyzer is studied from both quantum information geometry and dynamical system viewpoints. On the quant…
A gradient system on the quantum information space that realizes the Karmarkar flow for linear programming
Yoshio Uwano, Hiromi Yuya
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…
Certain integrable system on a space associated with a quantum search algorithm
Yoshio Uwano, Hideitsu Hino, Yasue Ishiwatari
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 t…
Separability and the Birkhoff-Gustavson Normalization of the Perturbed Harmonic Oscillators with Homogeneous Polynomial Potentials
Yoshio Uwano
In this paper, separability of the perturbed two-dimensional isotropic harmonic oscillators with homogeneous polynomial potentials is characterized from their Birkhoff-Gustavson (B…
The inverse problem of the Birkhoff-Gustavson normalization and ANFER, Algorithm of Normal Form Expansion and Restoration
Yoshio Uwano
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…
From the Birkhoff-Gustavson normalization to the Bertrand-Darboux integrability condition
Yoshio Uwano
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 sol…