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

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Open Systems & Information Dynamics

Abstract

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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Authors and Affiliations

  1. Department of Physics, Waseda University, Tokyo, 169-8555, Japan

    Gen Kimura

  2. Graduate School of Information Sciences, Tôchoku University, Aoba-ku, Sendai, 980-8579, Japan

    Gen Kimura

  3. Institute of Physics, Nicolaus Copernicus University, Toruń, 87-100, Poland

    Andrzej Kossakowski

Authors
  1. Gen Kimura
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  2. Andrzej Kossakowski
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Correspondence to Gen Kimura.

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Kimura, G., Kossakowski, A. The Bloch-Vector Space for N-Level Systems: the Spherical-Coordinate Point of View. Open Syst Inf Dyn 12, 207–229 (2005). https://doi.org/10.1007/s11080-005-0919-y

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  • DOI: https://doi.org/10.1007/s11080-005-0919-y

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