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<p>The aim of this paper, the first in the series, is to discuss the relationship between some fundamental statistical concepts for quantum systems described by algebraic methods and the ideas of the so-called stroboscopic tomography, where some geometrical methods are very natural. An example of sufficient conditions which must be fulfilled by sufficient subalgebras that are useful in estimating states of quantum systems are discussed. Subsequent papers in this series will deal with more sophisticated models.</p>

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On Wandering Subalgebras, Sufficiency and Stroboscopic Tomography

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月23日

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  • Andrzej Jamiołkowski,
  • Masanori Ohya,
  • Takeo Kamizawa,
  • Takashi Matsuoka,
  • Noboru Watanabe

摘要

The aim of this paper, the first in the series, is to discuss the relationship between some fundamental statistical concepts for quantum systems described by algebraic methods and the ideas of the so-called stroboscopic tomography, where some geometrical methods are very natural. An example of sufficient conditions which must be fulfilled by sufficient subalgebras that are useful in estimating states of quantum systems are discussed. Subsequent papers in this series will deal with more sophisticated models.