20 citations · 34 across the 6 of their papers we have counts for
6 papers
Solving -Nearest Neighbor Problem on Multiple Graphics Processors
Kimikazu Kato, Tikara Hosino
The recommendation system is a software system to predict customers' unknown preferences from known preferences. In the recommendation system, customers' preferences are encoded in…
Voronoi Diagrams for Quantum States and Its Application to a Numerical Estimation of a Quantum Channel Capacity
Kimikazu Kato
In quantum information theory, a geometric approach, known as "quantum information geometry," has been considered as a powerful method. In this thesis, we give a computational geom…
Degeneracy of Angular Voronoi Diagram
Hidetoshi Muta, Kimikazu Kato
Angular Voronoi diagram was introduced by Asano et al. as fundamental research for a mesh generation. In an angular Voronoi diagram, the edges are curves of degree three. From view…
Voronoi Diagrams and a Numerical Estimation of a Quantum Channel Capacity
Kimikazu Kato, Mayumi Oto, Hiroshi Imai +1
We give a new geometric interpretation of quantum pure states. Using Voronoi diagrams, we reinterpret the structure of the space of pure states as a subspace of the quantum state s…
On a Geometric Structure of Pure Multi-qubit Quantum States and Its Applicability to a Numerical Computation
Kimikazu Kato, Mayumi Oto, Hiroshi Imai +1
For one-qubit pure quantum states, it is already proved that the Voronoi diagrams with respect to two distances -- Euclidean distance and the quantum divergence -- coincide. This f…
Voronoi Diagrams for Pure 1-qubit Quantum States
Kimikazu Kato, Mayumi Oto, Hiroshi Imai +1
1-qubit quantum states form a space called the three-dimensional Bloch ball. To compute Holevo capacity, Voronoi diagrams in the Bloch ball with respect to the quantum divergence h…