On a Geometric Structure of Pure Multi-qubit Quantum States and Its Applicability to a Numerical Computation
Kimikazu Kato; Mayumi Oto; Hiroshi Imai; Keiko Imai · 2006 · arXiv
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Abstract (excerpt)
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 fact is a support for a known method to calculate the Holevo capacity. To consider an applicability of this method to quantum states of a higher level system, it is essential to check if the coincidence of the Voronoi diagrams also occurs. In this paper, we show a negative result for that expectation. In other words, we mathematically prove that those diagrams no longer coincide in a higher dimension. That indicates t
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Metadata source: arXiv