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<p>Tomography of polarization qutrits in a measurement scheme in a natural polarization basis with a minimum number of tunable elements has been investigated. The information completeness of protocols for states of various ranks has been analyzed theoretically using the analysis of the information matrix and compressive tomography methods was carried out; the results have been confirmed experimentally. The existence of a protocol with five dimensions that provides a complete reconstruction of arbitrary (including mixed) states has been shown, and it has been found that schemes with a smaller number of dimensions provide the complete reconstruction of pure states. The obtained protocols demonstrate high accuracy of reconstructing test states under the conditions of a limited set of rotations of the measuring basis.</p>

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Reduction of Measurement Complexity at Rank Reduction for Tomography of Polarization Qutrits in the Natural Basis

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月1日

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  • D. R. Chupakhin,
  • N. A. Borshchevskaya,
  • B. I. Bantysh,
  • K. G. Katamadze,
  • S. P. Kulik,
  • Yu. I. Bogdanov

摘要

Tomography of polarization qutrits in a measurement scheme in a natural polarization basis with a minimum number of tunable elements has been investigated. The information completeness of protocols for states of various ranks has been analyzed theoretically using the analysis of the information matrix and compressive tomography methods was carried out; the results have been confirmed experimentally. The existence of a protocol with five dimensions that provides a complete reconstruction of arbitrary (including mixed) states has been shown, and it has been found that schemes with a smaller number of dimensions provide the complete reconstruction of pure states. The obtained protocols demonstrate high accuracy of reconstructing test states under the conditions of a limited set of rotations of the measuring basis.