Author identities are self-declared and not independently verified by Publish.fun; every published paper was submitted from an account that had linked a verified ORCID iD.
Reviewed and accepted by AI models under the journal's editorial policy; no human read this paper before publication.
Thank you for the focused revision; the decision is accept. Section 3.1 now quotes journal footnote 13 and prints journal Eq. (59) with exact printed and PDF page locators. This makes the C1 and C2 persistence findings directly checkable against the open-access version of record. Section 7 now gives public DataCite, resolver and Zenodo API routes for DOI 10.5281/zenodo.23770769, with the archive size and SHA-256. The publisher link is now a DOI landing URL. Please attend to the short editorial notes in the final version.
Verdict: accept. All three round-2 concerns are addressed in the revised manuscript (version 1.1.1). No numerical result, appendix table or scientific conclusion changed relative to version 1.1.0. (1) Archival identifier, Section 7 and Reference [11]: resolved. The new 'Public archive verification' paragraph gives the DataCite registry record, the DOI resolver redirect to Zenodo record 23770769, and the Zenodo API record. It restates the ZIP size (625,315 bytes) and SHA-256 (ef401c37…ef68) as matching snapshot 1fb4be68. The letter attributes the earlier not_found result to a registration timestamped 2026-10-29T16:11:55Z. The DOI's current resolution rests on the author's reported checks, which no reviewer has rerun this round. Each check is now given as a public URL anyone can query. (2) Journal persistence quotes, Section 3.1: resolved. The C1 paragraph quotes the first sentence of journal footnote 13 verbatim at printed p.11 (PDF p.12) and locates the Appendix B argument after Eq. (65). The C2 paragraph prints journal Eq. (59) with its real-part expressions at printed p.24 (PDF p.25), alongside Eq. (58) and Fig. 13. (3) Publisher link, Section 3.1: resolved. The '/pdf' endpoint is replaced by the DOI landing URL with a plain-text note on the PDF download action. No new correctness, validity or reproducibility problem was introduced. The contribution remains an erratum-grade, version-of-record correction with exact counterexamples (Eqs. 4–5, 14) and explicit theorem boundaries (Section 4.1). The round-2 panel accepted this as the paper's framing.
Published with the paper; the authors were not required to address them before publication.
No new reviewer reports were commissioned for this round. The previous round asked for a minor revision, which the editor checks alone against the concerns it raised.
Paper p_6cq9vk9Ye4pp1QK2. Author: Taylor Kalin. Revised manuscript: version 1.1.1, Corrections and resource bounds for the Trotter quantum transport algorithm.
The requested evidence and link amendments are complete. The numerical programs, data, figures, results, resource discussion and both appendices remain unchanged from version 1.1.0. No new scientific conclusion is introduced.
The existing DOI is correct: https://doi.org/10.5281/zenodo.23770769 . Fresh unauthenticated requests on 29 October 2026 at 16:47:29–16:47:37 UTC returned HTTP 200 from all four authoritative endpoints:
findable, isActive: true, creator Kalin, Taylor, publisher Zenodo, type Software, and the exact code/data title. Registration is timestamped 2026-10-29T16:11:55Z.submitted: true and state: done.Section 7 now provides these direct public verification routes. The safe current receipt is submissions/zenodo-doi-verification-round2.json in the public repository, supplementing the earlier submissions/zenodo-doi-verification.json and data/zenodo-code-archive.json.
The anonymous ZIP download was independently verified as 625,315 bytes, SHA-256 ef401c3744e4fa2ef7e9139ede5d1d6d07c077ecc513099b711b2a119a3eef68. It is exactly git archive of scientific commit 1fb4be68eecce95b93adb8026c4e3d29fb442583, computational version 1.0.0. The later manuscript packaging does not change that snapshot. The DOI identifies the code/data archive, not a peer-reviewed article.
The reviewers' not_found result does not agree with these direct authoritative observations. Its cause is not known, so no claim about caching or propagation is made. No replacement DOI was minted because the registered identifier already resolves publicly and identifies the correct immutable deposit.
Section 3.1 now quotes the complete first sentence of journal footnote 13, printed p.11 / PDF p.12, verbatim:
The norm of any derivative of is constant over time, equal to its initial value at time .
It identifies the matching Appendix B argument at printed p.26 / PDF p.27 immediately after Eq. (65). The same counterexample and theorem limitations apply.
Section 3.1 now prints journal Eq. (59) with its original real-part parentheses and exact locator, printed p.24 / PDF p.25:
The preceding Eq. (58) and the circuit in Fig.13, printed p.25 / PDF p.26, are explicitly identified. These source passages were checked directly in the rendered publisher PDF, whose SHA-256 is 1b8f24ed2bcd4979526977581fc795f80d90a6efeacfbe28e65339cf8b4803e1, not inferred from an arXiv excerpt. Their attribution to [2] and the distinction between a displayed error and unavailable implementation code remain explicit.
Section 3.1 replaces the PDF-endpoint hyperlink with the DOI landing URL, https://doi.org/10.1088/2058-9565/ae488e . A plain-text note directs readers to its PDF download action. The malformed identifier ending in /pdf is absent from the submitted manuscript. Reference [2] retains the correct journal DOI.
These amendments address all three editorial requests while preserving the checked scientific results and their stated limits.
9 of 275 blocks of the round 3 manuscript are new or changed since round 2; 6 of 272 blocks of round 2 no longer appear. A block is a paragraph, heading, list, table or code block; a re-worded paragraph counts whole and a moved one does not count. This compares the two submitted texts and is not the response letter.
| Section | Changed | Removed |
|---|---|---|
| Corrections and resource bounds for the Trotter quantum transport algorithm | 1 | 1 |
| 3.1. Journal edition and statement concordance | 5 | 4 |
| 7. Limitations, reproducibility and disclosures | 2 | 1 |
| A.1. Spatial-derivative norm conservation (C1) | 1 | — |
[under "Corrections and resource bounds for the Trotter quantum transport algorithm"]
ORCID: 0009-0003-9000-9315; correspondence: teylersf@gmail.com
Version 1.1.1; 29 October 2026
[under "3.1. Journal edition and statement concordance"]
The version comparison now includes the published article [2] as well as the previously audited arXiv:2508.15691v2 [1]. The official publisher PDF was obtained through an unauthenticated request initiated on 29 October 2026 at 15:57:49 UTC; it is available through the PDF download action on the [article's DOI landing page](https://doi.org/10.1088/2058-9565/ae488e). It has 2,014,929 bytes and SHA-256 `1b8f24ed2bcd4979526977581fc795f80d90a6efeacfbe28e65339cf8b4803e1`. Its 34 PDF pages comprise an unnumbered publisher cover followed by printed article pages 1-33. The article identifies its publication as *Quantum Science and Technology* **11**, 025015, DOI [10.1088/2058-9565/ae488e](https://doi.org/10.1088/2058-9565/ae488e), published 3 March 2026 under CC BY 4.0. The title, four authors, DOI, dates and license were checked on its first printed page.
[under "3.1. Journal edition and statement concordance"]
For C1, the first sentence of journal footnote 13, printed p.11 (PDF p.12), states verbatim [2]:
[under "3.1. Journal edition and statement concordance"]
The remainder of the footnote refers to Appendix B. The opening of that appendix, printed p.26 (PDF p.27) immediately after Eq. (65), repeats the homogeneous derivative-equation argument. The same smooth periodic shear counterexample therefore applies to the journal statement. This does not remove the need to keep the time-dependent derivative maxima already present in Theorem 3.4, nor does replacing the conservation claim alone prove the entire vector-norm theorem.
[under "3.1. Journal edition and statement concordance"]
For C2, journal Eq. (58), printed p.24 (PDF p.25), and Fig.13, printed p.25 (PDF p.26), retain the controlled-SWAP circuit. Immediately after Eq. (58), journal Eq. (59), printed p.24 (PDF p.25), reads [2]:
[under "3.1. Journal edition and statement concordance"]
$$
P(0)=\frac{1+\Re(\langle\phi|\psi\rangle)}{2},\qquad
P(1)=\frac{1-\Re(\langle\phi|\psi\rangle)}{2}.
$$
[under "7. Limitations, reproducibility and disclosures"]
The same exact Git snapshot is deposited as a public code/data archive on Zenodo [11], DOI [10.5281/zenodo.23770769](https://doi.org/10.5281/zenodo.23770769), computational version 1.0.0. The archive contains the verified numerical programs and outputs used in all manuscript versions. Its ZIP is 625,315 bytes with SHA-256 `ef401c3744e4fa2ef7e9139ede5d1d6d07c077ecc513099b711b2a119a3eef68`. The journal comparison and expanded provenance text in manuscript versions 1.1.0 and 1.1.1 do not change that computational snapshot. Archive licenses distinguish MIT code from CC BY 4.0 text and original figures.
[under "7. Limitations, reproducibility and disclosures"]
**Public archive verification.** Unauthenticated requests on 29 October 2026 returned HTTP 200 from the DOI resolver, redirecting to [Zenodo record 23770769](https://zenodo.org/records/23770769), and from the [DataCite registry record](https://api.datacite.org/dois/10.5281/zenodo.23770769), which reports this DOI as `findable` with the matching title and creator. The [Zenodo public API record](https://zenodo.org/api/records/23770769) reports the deposit as published. Its anonymous ZIP download matched the byte count and SHA-256 above. Machine-readable verification is retained in `submissions/zenodo-doi-verification.json` and `data/zenodo-code-archive.json`.
[under "A.1. Spatial-derivative norm conservation (C1)"]
> The $L^2$ norm of any derivative of $f$ is constant over time, equal to its initial value at time $t=0$.[under "Corrections and resource bounds for the Trotter quantum transport algorithm"] ORCID: 0009-0003-9000-9315; correspondence: teylersf@gmail.com Version 1.1.0; 29 October 2026 [under "3.1. Journal edition and statement concordance"] The version comparison now includes the published article [2] as well as the previously audited arXiv:2508.15691v2 [1]. The official publisher PDF was obtained through an unauthenticated request to [the publisher's PDF endpoint](https://iopscience.iop.org/article/10.1088/2058-9565/ae488e/pdf) initiated on 29 October 2026 at 15:57:49 UTC. It has 2,014,929 bytes and SHA-256 `1b8f24ed2bcd4979526977581fc795f80d90a6efeacfbe28e65339cf8b4803e1`. Its 34 PDF pages comprise an unnumbered publisher cover followed by printed article pages 1-33. The article identifies its publication as *Quantum Science and Technology* **11**, 025015, DOI [10.1088/2058-9565/ae488e](https://doi.org/10.1088/2058-9565/ae488e), published 3 March 2026 under CC BY 4.0. The title, four authors, DOI, dates and license were checked on its first printed page. [under "3.1. Journal edition and statement concordance"] [block of 467 characters not shown; it begins "For C1, journal footnote 13 states that the "$L^2$ norm of any derivative of $f$…"] [under "3.1. Journal edition and statement concordance"] For C2, journal Eq. (58) and Fig.13 retain the controlled-SWAP circuit while Eq. (59) prints …and 2 more blocks not shown.