Integer factorization algorithms better than Shor's algorithm by 
Ciro Santilli 40 Updated 2025-07-16
Ciro Santilli 40 Updated 2025-07-16- 2023 www.schneier.com/blog/archives/2023/01/breaking-rsa-with-a-quantum-computer.html comments on "Factoring integers with sublinear resources on a superconducting quantum processor” arxiv.org/pdf/2212.12372.pdf
A group of Chinese researchers have just published a paper claiming that they can—although they have not yet done so—break 2048-bit RSA. This is something to take seriously. It might not be correct, but it’s not obviously wrong.We have long known from Shor’s algorithm that factoring with a quantum computer is easy. But it takes a big quantum computer, on the orders of millions of qbits, to factor anything resembling the key sizes we use today. What the researchers have done is combine classical lattice reduction factoring techniques with a quantum approximate optimization algorithm. This means that they only need a quantum computer with 372 qbits, which is well within what’s possible today. (The IBM Osprey is a 433-qbit quantum computer, for example. Others are on their way as well.)
Composed mostly of the Virgo cluster and the Local group.
Only after Ciro became an adult did he finally understand that Sun Wukong was the basis for Dragon Ball as mentioned at: Figure "19th century illustration of the Journey to the West protagonist Sun Wukong". And that Sun Wukong was a million times more famous overall. Mind blown.
His given name "Wukong" literally means "the one who mastered the void" (Wu = Comprehend, Kong = void), so clearly a Dharma name. Edit: it is actually given in the novel, he was born without name. They seem to be Taoist however.
The family name sun1 孙 is the same character as "grandson", but most educated Chinese people seem to be able to recognize it as a reference to "monkey" from some archaic context not anymore in current usage.
These appear to be benchmarks that don't involve running anything concretely, just compiling and likely then counting gates:
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