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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 26th 2022

    started writing this just to record some references, but ended up writing some paragraphs of an Idea-section. Nevertheless, this remains a stub entry.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 29th 2022
    • (edited Aug 29th 2022)

    I have added (here) to the Idea-section a paragraph on the example of incremental addition ()+n:(-)+n \;\colon\; \mathbb{Z} \xrightarrow{\sim} \mathbb{Z}

    with a pointer to

    for how to implement this with just CNOT gates,

    and with an image of Leibniz’s mechanical calculator, where the reversal of this operation is obtained by turning the crank the opposite direction.

    (Or so it says on Wikipedia. I have not yet found a good published reference on the “stepped reckoner”. )

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 17th 2023

    added pointer to:

    • B. Aman et al., Foundations of Reversible Computation, in: Reversible Computation: Extending Horizons of Computing. RC 2020 Lecture Notes in Computer Science 12070, Springer (2020) [doi:10.1007/978-3-030-47361-7_1]

    diff, v12, current