Majorization, Entropy and Paired Comparisons
نویسندگان
چکیده
منابع مشابه
Von Neumann entropy and majorization
We consider the properties of the Shannon entropy for two probability distributions which stand in the relationship of majorization. Then we give a generalization of a theorem due to Uhlmann, extending it to infinite dimensional Hilbert spaces. Finally we show that for any quantum channel Φ, one has S(Φ(ρ)) = S(ρ) for all quantum states ρ if and only if there exists an isometric operator V such...
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NOTICES Disclaimers The findings in this report are not to be construed as an official Department of the Army position unless so designated by other authorized documents. Citation of manufacturer's or trade names does not constitute an official endorsement or approval of the use thereof. Destroy this report when it is no longer needed. Do not return it to the originator. Approved for public rel...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1988
ISSN: 0090-5364
DOI: 10.1214/aos/1176350843