Abstract: This tutorial aims to establish connections between polynomial modular multiplication over a ring to circular convolution and the discrete Fourier transform (DFT). The main goal is to extend ...

The spin-off company ParityQC has implemented the largest quantum Fourier transform ever reported using an IBM quantum computer, thereby setting a new milestone on the path toward the industrial ...

ChatGPT kicked off the AI boom, but it was a landmark partnership between its developer OpenAI and software giant Microsoft Corp. that laid its financial foundations. This playbook has been repeated ...

Researchers at China University of Petroleum (East China) present a comprehensive AI-driven strategy that enhances the efficiency and reliability of materials research across semiconductors, ...

Sam Altman, the chief executive of OpenAI, says that technological revolutions are driven by more than just technology. They are also driven, he argues, by new ways of paying for them. “There is ...

The AI boom has triggered a historic spending spree. By 2028, investment in chips, servers and data centers could reach nearly $3 trillion, according to Morgan Stanley. On this episode of Bold Names, ...

Skeptics of a recent investment spree involving OpenAI and others say deals raise questions about the robustness of the artificial intelligence boom. By Andrew Ross Sorkin Bernhard Warner Sarah ...

The S&P 500 is increasingly concentrated in the 'Magnificent 7' tech giants, raising risks for index investors as these stocks dominate returns. Mag 7 companies are ramping up capital spending on AI, ...

We extract more than 100 billion tonnes of raw materials from Earth each year, then throw most of them away. The “circular economy” offers a different approach: instead of the linear “take-make-waste” ...

As we listen to a piece of music, our ears perform a calculation. The high-pitched flutter of the flute, the middle tones of the violin, and the low hum of the double bass fill the air with pressure ...

Convolution is a remarkable property of the Fourier transform, often cited in the literature as the “faltung theorem”. Convolution is a remarkable property of the Fourier transform, often cited in the ...