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)

Bibliographic Details
Title: 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)
Authors: Aghaee, Morteza, Alam, Zulfi, Andrzejczuk, Mariusz, Antipov, Andrey E., Astafev, Mikhail, Barzegar, Amin, Bauer, Bela, Becker, Jonathan, Bhaskar, Umesh Kumar, Bocharov, Alex, Boddapati, Srini, Bohn, David, Bommer, Jouri, Bourdet, Leo, Boutin, Samuel, Chapman, Benjamin J., Chatoor, Sohail, Christensen, Anna Wulff, Codd, Patrick, Cole, William S., Cooper, Paul, Corsetti, Fabiano, Cui, Ajuan, Ekefjärd, Andreas, Fallahi, Saeed, Galletti, Luca, Gardner, Geoff, Govender, Deshan, Griggio, Flavio, Grigoryan, Ruben, Grijalva, Sebastian, Gronin, Sergei, Gukelberger, Jan, Hamdast, Marzie, Hansen, Esben Bork, Heedt, Sebastian, Ho, Samantha, Holgaard, Laurens, Van Hoogdalem, Kevin, Indrapiromkul, Jinnapat, Ingerslev, Henrik, Ivancevic, Lovro, Jensen, Thomas, Jhoja, Jaspreet, Jones, Jeffrey, Kalashnikov, Konstantin V., Kallaher, Ray, Kalra, Rachpon, Karimi, Farhad, Karzig, Torsten, Kloster, Maren Elisabeth, Knapp, Christina, Koski, Jonne, Kostamo, Pasi, Laeven, Tom, de Lange, Gijs, Larsen, Thorvald, Lee, Jason, Lee, Kyunghoon, Leum, Grant, Li, Kongyi, Lindemann, Tyler, Looij, Matthew, Lucas, Marijn, Lutchyn, Roman, Madsen, Morten Hannibal, Madulid, Nash, Manfra, Michael, Markussen, Signe Brynold, Martinez, Esteban, Mattila, Marco, McNeil, Robert, Mishmash, Ryan V., Mohandas, Gopakumar, Mollgaard, Christian, de Moor, Michiel, Morgan, Trevor, Moussa, George, Nayak, Chetan, Nielsen, William Hvidtfelt Padkær, Nielsen, Jens Hedegaard, Nystrom, Mike, O'Farrell, Eoin, Otani, Keita, Petersson, Karl, Petit, Luca, Pikulin, Dima, Rajpalke, Mohana, Ramirez, Alejandro Alcaraz, Rasmussen, Katrine, Razmadze, David, Ren, Yuan, Reneris, Ken, Sadovskyy, Ivan A., Sainiemi, Lauri, Saldaña, Juan Carlos Estrada, Sanlorenzo, Irene, Schmidgall, Emma, Sfiligoj, Cristina, Sinha, Sarat, Soerensen, Thomas, Sohr, Patrick, Stankevič, Tomaš, Stek, Lieuwe, Stuppard, Eric, Suominen, Henri, Suter, Judith, Teicher, Sam, Thiyagarajah, Nivetha, Tholapi, Raj, Thomas, Mason, Toomey, Emily, Tracy, Josh, Turley, Michelle, Upadhyay, Shivendra, Urban, Ivan, Viazmitinov, Dmitrii V., Vogel, Dominik, Watson, John, Webster, Alex, Weston, Joseph, Winkler, Georg W., Van Woerkom, David J., Wütz, Brian Paquelet, Yang, Chung Kai, Yucelen, Emrah, Zamorano, Jesús Herranz, Zeisel, Roland, Zheng, Guoji, Zilke, Justin
Publication Year: 2025
Collection: Condensed Matter
Quantum Physics
Subject Terms: Condensed Matter - Mesoscale and Nanoscale Physics, Quantum Physics
More Details: 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.
Comment: Response to arXiv:2502.19560 and arXiv:2503.08944. 11 pages, 5 figures, 2 tables, code for reproduction
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2504.13240
Accession Number: edsarx.2504.13240
Database: arXiv
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