tl;dr: What has happened in quantum computing over the years.
A history
In 2001, Vandersypen et al. claimed an “experimental realization” of Shor’s quantum factoring algorithm1. Their results demonstrate feasibility of building very small, highly specialized quantum circuits. Specifically, they show a quantum circuit tailored for factoring 15, but in designing this circuit they leveraged knowledge of its factorizaton (i.e., $3\times5 = 15$). Naturally, the relevance of these results has been questioned, most notably by Smolin et al.2 who write:
While there is no objection to having a classical compiler help design a quantum circuit (indeed, probably all quantum computers will function in this way), it is not legitimate for a compiler to know the answer to the problem being solved. To even call such a procedure compilation is an abuse of language.
Others, have been less gentle and mocked this kind of “experimental realization”3.
Google’s results: Willow, error-correction, new ECDLP algorithm. Oratomic’s result. This result4. Craig Gidney’s post and his past paper on Shor.
References
For cited works, see below 👇👇
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Experimental realization of Shor’s quantum factoring algorithm using nuclear magnetic resonance, by Lieven M. K. Vandersypen and Matthias Steffen and Gregory Breyta and Costantino S. Yannoni and Mark H. Sherwood and Isaac L. Chuang, 2001, [URL] ↩
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Pretending to factor large numbers on a quantum computer, by John A. Smolin and Graeme Smith and Alex Vargo, 2013, [URL] ↩
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Replication of Quantum Factorisation Records with an 8-bit Home Computer, an Abacus, and a Dog, by Peter Gutmann and Stephan Neuhaus, in Cryptology {ePrint} Archive, Paper 2025/1237, 2025, [URL] ↩
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High-threshold decoding of non-Pauli codes for 2D universality, by Julio C. Magdalena de la Fuente and Noa Feldman and Jens Eisert and Andreas Bauer, 2026, [URL] ↩