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arXiv · 2504.13240

Response to recent comments on Phys. Rev. B 107, 245423 (2023) and Subsection S4.3 of the Supp. Info. for Nature 638, 651-655 (2025)

Morteza Aghaee·Zulfi Alam·Mariusz Andrzejczuk·Andrey E. Antipov·Mikhail Astafev·Amin Barzegar·Bela Bauer·Jonathan Becker·Umesh Kumar Bhaskar·Alex Bocharov·Srini Boddapati·David Bohn·Jouri Bommer·Leo Bourdet·Samuel Boutin·Benjamin J. Chapman·Sohail Chatoor·Anna Wulff Christensen·Patrick Codd·William S. Cole·Paul Cooper·Fabiano Corsetti·Ajuan Cui·Andreas Ekefjärd·Saeed Fallahi·Luca Galletti·Geoff Gardner·Deshan Govender·Flavio Griggio·Ruben Grigoryan·Sebastian Grijalva·Sergei Gronin·Jan Gukelberger·Marzie Hamdast·Esben Bork Hansen·Sebastian Heedt·Samantha Ho·Laurens Holgaard·Kevin Van Hoogdalem·Jinnapat Indrapiromkul·Henrik Ingerslev·Lovro Ivancevic·Thomas Jensen·Jaspreet Jhoja·Jeffrey Jones·Konstantin V. Kalashnikov·Ray Kallaher·Rachpon Kalra·Farhad Karimi·Torsten Karzig·Maren Elisabeth Kloster·Christina Knapp·Jonne Koski·Pasi Kostamo·Tom Laeven·Gijs de Lange·Thorvald Larsen·Jason Lee·Kyunghoon Lee·Grant Leum·Kongyi Li·Tyler Lindemann·Matthew Looij·Marijn Lucas·Roman Lutchyn·Morten Hannibal Madsen·Nash Madulid·Michael Manfra·Signe Brynold Markussen·Esteban Martinez·Marco Mattila·Robert McNeil·Ryan V. Mishmash·Gopakumar Mohandas·Christian Mollgaard·Michiel de Moor·Trevor Morgan·George Moussa·Chetan Nayak·William Hvidtfelt Padkær Nielsen·Jens Hedegaard Nielsen·Mike Nystrom·Eoin O'Farrell·Keita Otani·Karl Petersson·Luca Petit·Dima Pikulin·Mohana Rajpalke·Alejandro Alcaraz Ramirez·Katrine Rasmussen·David Razmadze·Yuan Ren·Ken Reneris·Ivan A. Sadovskyy·Lauri Sainiemi·Juan Carlos Estrada Saldaña·Irene Sanlorenzo·Emma Schmidgall·Cristina Sfiligoj·Sarat Sinha
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Abstract

The topological gap protocol (TGP) is a statistical test designed to identify a topological phase with high confidence and without human bias. It is used to determine a promising parameter regime for operating topological qubits. The protocol's key metric is the probability of incorrectly identifying a trivial region as topological, referred to as the false discovery rate (FDR). Two recent manuscripts [arXiv:2502.19560, arXiv:2503.08944] engage with the topological gap protocol and its use in Phys. Rev. B 107, 245423 (2023) and Subsection S4.3 of the Supplementary Information for Nature 638, 651-655 (2025), although they do not explicitly dispute the main results of either one. We demonstrate that the objections in arXiv:2502.19560 and arXiv:2503.08944 are unfounded, and we uphold the conclusions of Phys. Rev. B 107, 245423 (2023) and Nature 638, 651-655 (2025). Specifically, we show that no flaws have been identified in our estimate of the false discovery rate (FDR). We provide a point-by-point rebuttal of the comments in arXiv:2502.19560 and arXiv:2503.08944.

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Morteza Aghaee, Zulfi Alam, Mariusz Andrzejczuk, Andrey E. Antipov, Mikhail Astafev, Amin Barzegar, Bela Bauer, Jonathan Becker, Umesh Kumar Bhaskar, Alex Bocharov, Srini Boddapati, David Bohn, Jouri Bommer, Leo Bourdet, Samuel Boutin, Benjamin J. Chapman, Sohail Chatoor, Anna Wulff Christensen, Patrick Codd, William S. Cole, Paul Cooper, Fabiano Corsetti, Ajuan Cui, Andreas Ekefjärd, Saeed Fallahi, Luca Galletti, Geoff Gardner, Deshan Govender, Flavio Griggio, Ruben Grigoryan, Sebastian Grijalva, Sergei Gronin, Jan Gukelberger, Marzie Hamdast, Esben Bork Hansen, Sebastian Heedt, Samantha Ho, Laurens Holgaard, Kevin Van Hoogdalem, Jinnapat Indrapiromkul, Henrik Ingerslev, Lovro Ivancevic, Thomas Jensen, Jaspreet Jhoja, Jeffrey Jones, Konstantin V. Kalashnikov, Ray Kallaher, Rachpon Kalra, Farhad Karimi, Torsten Karzig, Maren Elisabeth Kloster, Christina Knapp, Jonne Koski, Pasi Kostamo, Tom Laeven, Gijs de Lange, Thorvald Larsen, Jason Lee, Kyunghoon Lee, Grant Leum, Kongyi Li, Tyler Lindemann, Matthew Looij, Marijn Lucas, Roman Lutchyn, Morten Hannibal Madsen, Nash Madulid, Michael Manfra, Signe Brynold Markussen, Esteban Martinez, Marco Mattila, Robert McNeil, Ryan V. Mishmash, Gopakumar Mohandas, Christian Mollgaard, Michiel de Moor, Trevor Morgan, George Moussa, Chetan Nayak, William Hvidtfelt Padkær Nielsen, Jens Hedegaard Nielsen, Mike Nystrom, Eoin O'Farrell, Keita Otani, Karl Petersson, Luca Petit, Dima Pikulin, Mohana Rajpalke, Alejandro Alcaraz Ramirez, Katrine Rasmussen, David Razmadze, Yuan Ren, Ken Reneris, Ivan A. Sadovskyy, Lauri Sainiemi, Juan Carlos Estrada Saldaña, Irene Sanlorenzo, Emma Schmidgall, Cristina Sfiligoj, Sarat Sinha. 2025-04-17. Response to recent comments on Phys. Rev. B 107, 245423 (2023) and Subsection S4.3 of the Supp. Info. for Nature 638, 651-655 (2025). https://arxiv.org/abs/2504.13240

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