20 citations · 44 across the 4 of their papers we have counts for
4 papers
Distance k-Sectors Exist
Keiko Imai, Akitoshi Kawamura, Jiří Matoušek +2
The bisector of two nonempty sets P and Q in a metric space is the set of all points with equal distance to P and to Q. A distance k-sector of P and Q, where k is an integer, is a…
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…