20 citations · 32 across the 3 of their papers we have counts for
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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…