64 citations · 140 across the 9 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…
On the Relationship between Convex Bodies Related to Correlation Experiments with Dichotomic Observables
David Avis, Hiroshi Imai, Tsuyoshi Ito
In this paper we explore further the connections between convex bodies related to quantum correlation experiments with dichotomic variables and related bodies studied in combinator…
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…
Generating facets for the cut polytope of a graph by triangular elimination
David Avis, Hiroshi Imai, Tsuyoshi Ito
The cut polytope of a graph arises in many fields. Although much is known about facets of the cut polytope of the complete graph, very little is known for general graphs. The study…