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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJan 7th 2014
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   Author: Urs
   Format: MarkdownItexcreated a stub for _[[no-cloning theorem]]_. For the moment what I wanted to highlight is that under the identification of [[linear logic]] as [[quantum logic]] it is this theorem which is the "linearity" of the logic.

   created a stub for no-cloning theorem.

   For the moment what I wanted to highlight is that under the identification of linear logic as quantum logic it is this theorem which is the “linearity” of the logic.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMar 5th 2014
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   Author: Urs
   Format: MarkdownItexexpanded just a tad more at _[[no-cloning theorem]]_

   expanded just a tad more at no-cloning theorem

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeNov 13th 2022
   • (edited Nov 13th 2022)
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   Author: Urs
   Format: MarkdownItexI have re-arraged material a little, in an attempt to disentangle the elementary explanations from the category-theoretic explanations. Then I have added a non-short remark (now [here](https://ncatlab.org/nlab/show/no-cloning+theorem#RelationToQuantumMeasurement)) which emphasizes: 1. that the impossibility of "clonging" hinges on its naturality 1. that the cloneability of a fixed linear basis of a fixed state space *can* be enforced and is tantamount to making these select states become classical in some sense that can be made precise <a href="https://ncatlab.org/nlab/revision/diff/no-cloning+theorem/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/no-cloning+theorem/8">v8</a>, <a href="https://ncatlab.org/nlab/show/no-cloning+theorem">current</a>

   I have re-arraged material a little, in an attempt to disentangle the elementary explanations from the category-theoretic explanations.

   Then I have added a non-short remark (now here) which emphasizes:

   1. that the impossibility of “clonging” hinges on its naturality

   2. that the cloneability of a fixed linear basis of a fixed state space can be enforced and is tantamount to making these select states become classical in some sense that can be made precise

   diff, v8, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeFeb 23rd 2023
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   Author: Urs
   Format: MarkdownItexadded the reference which is being credited with introducing the "no-deleting theorem": * [[Arun Kumar Pati]], [[Samuel L. Braunstein]], *Impossibility of deleting an unknown quantum state*, Nature **404** (2000) 164-165 &lbrack;[doi:10.1038/404130b0](https://doi.org/10.1038/404130b0), [arXiv:quant-ph/9911090](https://arxiv.org/abs/quant-ph/9911090)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/no-cloning+theorem/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/no-cloning+theorem/9">v9</a>, <a href="https://ncatlab.org/nlab/show/no-cloning+theorem">current</a>

   added the reference which is being credited with introducing the “no-deleting theorem”:

   • Arun Kumar Pati, Samuel L. Braunstein, Impossibility of deleting an unknown quantum state, Nature 404 (2000) 164-165 [doi:10.1038/404130b0, arXiv:quant-ph/9911090]

   diff, v9, current