# The Bloch-Vector Space for N-Level Systems: the Spherical-Coordinate Point of View

@article{Kimura2005TheBS, title={The Bloch-Vector Space for N-Level Systems: the Spherical-Coordinate Point of View}, author={Gen Kimura and Andrzej Kossakowski}, journal={Open Systems \& Information Dynamics}, year={2005}, volume={12}, pages={207-229} }

Bloch-vector spaces for N-level systems are investigated from the spherical-coordinate point of view in order to understand their geometrical aspects. We present a characterization of the space by using the spectra of (orthogonal) generators of SU(N). As an application, we find a dual property of the space which provides an overall picture of the space. We also provide three classes of quantum-state representations based on actual measurements and discuss their state-spaces.

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