Variational Quantum Algorithms (VQAs) are prime candidates for near-term quantum advantage, yet training them is known to be NP-hard. Here we prove a conditional undecidability result for noiseless, ...

Abstract: The purpose of this paper is to gain a better understanding of the structure of undecidable problems in automata theory by investigating the degree of unsolvability of these problems. This ...

The Post Correspondence Problem (PCP) is an undecidable problem. It asks whether a set of domino-like pairs of strings can be arranged in a sequence so that the top and bottom strings match. There's ...

Complex organizational problems and chaos are silent killers of productivity and innovation. In today’s fractured work environment, they are more prevalent than ever. Political transitions, ...

If you want to accentuate the importance of a problem, it seems sensible to explain how prevalent it is. Lots of people are at risk of Alzheimer’s disease. Lots of women carry a gene that makes them ...

If your PC restarts unprompted, freezes, or programs crash, you could have a RAM problem on your hands. To find out whether RAM really is the problem, you can use your PC’s memory diagnostics tool to ...

Current AI models struggle to solve research-level math problems, with the most advanced AI systems we have today solving just 2% of the hundreds of challenges faced. When you purchase through links ...

Ask the publishers to restore access to 500,000+ books. A line drawing of the Internet Archive headquarters building façade. An illustration of a heart shape "Donate to the archive" An illustration of ...

AlphaProof and AlphaGeometry 2 are steps toward building systems that can reason, which could unlock exciting new capabilities. AI models can easily generate essays and other types of text. However, ...

According to memes and social media posts, U.S. Vice President Kamala Harris is rumored to have once opined about dealing with problems, problems and more problems. The purported quote reads, "The ...

Personnel issues can significantly impact a company’s productivity, revenue and overall success. Investing in your employees and creating a positive work environment can lead to higher employee ...