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Thirty Years Later, a Speed Boost for Quantum Factoring

October 17, 2023

Shor’s algorithm will enable future quantum computers to factor large numbers quickly, undermining many online security protocols. Now a researcher has shown how to do it even faster.

The Deep Link Equating Math Proofs and Computer Programs

October 11, 2023

Mathematical logic and the code of computer programs are, in an exact way, mirror images of each other.

Tiny Language Models Come of Age

October 5, 2023

To better understand how neural networks learn to simulate writing, researchers trained simpler versions on synthetic children’s stories.

The Physical Process That Powers a New Type of Generative AI

September 19, 2023

Some modern image generators rely on the principles of diffusion to create images. Alternatives based on the process behind the distribution of charged particles may yield even better results.

Machine Learning Aids Classical Modeling of Quantum Systems

September 14, 2023

By using “classical shadows,” ordinary computers can beat quantum computers at the tricky task of understanding quantum behaviors.

Alan Turing and the Power of Negative Thinking

September 5, 2023

Mathematical proofs based on a technique called diagonalization can be relentlessly contrarian, but they help reveal the limits of algorithms.

Q&A

Why Mathematical Proof Is a Social Compact

August 31, 2023

Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach.

New Codes Could Make Quantum Computing 10 Times More Efficient

August 25, 2023

Quantum computing is still really, really hard. But the rise of a powerful class of error-correcting codes suggests that the task might be slightly more feasible than many feared.

The AI Tools Making Images Look Better

August 23, 2023

Researchers have discovered ways around a fundamental trade-off between accuracy and beauty in digital images.

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