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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeAug 26th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarted writing this just to record some references, but ended up writing some paragraphs of an Idea-section. Nevertheless, this remains a stub entry. <a href="https://ncatlab.org/nlab/revision/reversible+computation/1">v1</a>, <a href="https://ncatlab.org/nlab/show/reversible+computation">current</a>

   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

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeAug 29th 2022
   • (edited Aug 29th 2022)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added ([here](https://ncatlab.org/nlab/show/reversible+computation#ExampleOfIncrementalAddition)) to the Idea-section a paragraph on the example of incremental addition $(-)+n \;\colon\; \mathbb{Z} \xrightarrow{\sim} \mathbb{Z}$ with a pointer to * [[Phillip Kaye]], *Reversible addition circuit using one ancillary bit with application to quantum computing* &lbrack;[quant-ph/0408173](https://arxiv.org/abs/quant-ph/0408173)&rbrack; 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". ) <a href="https://ncatlab.org/nlab/revision/diff/reversible+computation/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/reversible+computation/3">v3</a>, <a href="https://ncatlab.org/nlab/show/reversible+computation">current</a>

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

   with a pointer to

   • Phillip Kaye, Reversible addition circuit using one ancillary bit with application to quantum computing [quant-ph/0408173]

   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

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJan 17th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded 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) &lbrack;[doi:10.1007/978-3-030-47361-7_1](https://doi.org/10.1007/978-3-030-47361-7_1)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/reversible+computation/12">diff</a>, <a href="https://ncatlab.org/nlab/revision/reversible+computation/12">v12</a>, <a href="https://ncatlab.org/nlab/show/reversible+computation">current</a>

   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