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: In this paper we analyze the decision problem for fragments of first-order extensions of branching time temporal logics such as computational tree logics CTL and CTL* or Prior's Ockhamist ...

The original version of this story appeared in Quanta Magazine. The world of mathematics is full of unreachable corners, where unsolvable problems live. Now, yet another has been exposed. In 1900, the ...

The world of mathematics is full of unreachable corners, where unsolvable problems live. Now, yet another has been exposed. In 1900, the eminent mathematician David Hilbert announced a list of 23 key ...

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 ...

A bidirectional pathway called the gut-brain axis connects your stomach and brain. If you have depression or anxiety, the gut-brain axis makes it possible for these conditions to affect your gut and ...

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 ...

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, ...

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 ...

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 ...

You’re telling me a giant computer on wheels is buggy? Who could have predicted? You’re telling me a giant computer on wheels is buggy? Who could have predicted? is transportation editor with 10+ ...