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arXiv:1903.01323

Reply to Glos et al. [arXiv:1801.01294] on QSWalk.m package performance

Peter E. Falloon, Jingbo B. Wang

Published Feb 28, 2019• 1 citation
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Abstract

We address comments in a recent paper by Glos et al.\ [CPC 235 (2018) 414, arXiv:1801.01294] regarding a slowdown in the performance of our QSWalk.m package for large matrix sizes. We show that the underlying issue has been rectified in the most recent version of Mathematica. We recommend all users of QSWalk.m to upgrade to version 11.3 or above.

DOI
10.48550/arxiv.1903.01323

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A comment has been recently posted on the arXiv (arXiv:1902.07504) that discuss our recent work on encircling multiple exceptional points in Nat. Commun. 9, 4808 (2018). In that comment, the authors claim that our approach is prone to errors. In discussing their findings, they also indicate that a method presented by their team in Phys. Rev. A 98, 023818 (2018) (presumed to give correct results in all situations) was published prior to our work. First, we would like to note that both their work and ours were posted on the arXiv within a week from each other. Second and more importantly, as we will show below, their analysis and conclusion concerning the validity of our approach as presented in the comment article (arXiv:1902.07504) are not correct. As we will demonstrate, a proper application of our method does indeed provide the correct results.

arXiv:1903.07580•Mar 18, 2019•0 citations
We address comments in a recent paper by Glos et al.\ [CPC 235 (2018) 414, arXiv:1801.01294] regarding a slowdown in the performance of our QSWalk.m package for large matrix sizes. We show that the underlying issue has been rectified in the most recent version of Mathematica. We recommend all users of QSWalk.m to upgrade to version 11.3 or above.
We reply to the comments by M. Sienicki and K. Sienicki (arXiv:2512.07881) and by K. Sienicki (arXiv:2601.06104) on our work on quantum-mechanical statistics in human language (arXiv:2407.14924) and on quantum structure in AI-generated language (arXiv:2511.21731). We thank the authors for their careful reading and address what we consider to be the main points of criticism: the exploratory nature of the protocol used in the experiments with large language models; the role of marginal-law violations, and of the Contextuality-by-Default criterion, in the identification of entanglement; the limited diagnostic value of a Bose-Einstein fit taken in isolation; the meaning of assigning the lowest energy levels to the most frequent words; and the relation between the vector spaces used by LLMs and quantum state spaces. We also correct a typographical error in Table 3 of arXiv:2511.21731, which does not affect the reported CHSH value.
A comment has been recently posted on the arXiv (arXiv:1902.07504) that discuss our recent work on encircling multiple exceptional points in Nat. Commun. 9, 4808 (2018). In that comment, the authors claim that our approach is prone to errors. In discussing their findings, they also indicate that a method presented by their team in Phys. Rev. A 98, 023818 (2018) (presumed to give correct results in all situations) was published prior to our work. First, we would like to note that both their work and ours were posted on the arXiv within a week from each other. Second and more importantly, as we will show below, their analysis and conclusion concerning the validity of our approach as presented in the comment article (arXiv:1902.07504) are not correct. As we will demonstrate, a proper application of our method does indeed provide the correct results.