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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 21st 2014

    brief entry superoperator, just for completeness

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 12th 2023
    • (edited Sep 12th 2023)

    I have added pointer to:

    What I was looking for is the answer to the following question:

    In a compact closed category, “superoperators”

    ()(𝒦𝒦) \big(\mathscr{H} \multimap \mathscr{H}\big) \longrightarrow \big(\mathscr{K} \multimap \mathscr{K}\big)


    *𝒦𝒦 * \mathscr{H} \otimes \mathscr{H}^\ast \longrightarrow \mathscr{K} \otimes \mathscr{K}^\ast

    may equivalently be understood as

    𝒦𝒦 \mathscr{H} \otimes \mathscr{K} \longrightarrow \mathscr{H} \otimes \mathscr{K}

    and then be composed as such. Is there a standard name for this re-identification and/or the resulting notion of composition of superoperators?

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 12th 2023

    added to the entry (here) a few lines with a tad more details

    diff, v4, current