Symmetry is vital for accurate quantum simulation, and this work details a new method for initial state preparation, crucial ...

Abstract: In this article, we introduce a classical algorithm for random sampling of permutations, drawing inspiration from the Steinhaus–Johnson–Trotter algorithm. Our approach takes a comprehensive ...

The Nature Index 2026 Research Leaders reveal the leading institutions and countries/territories in the natural sciences, health sciences, applied sciences and social sciences, according to their ...

I want to go back over something from Part 11, but in a more systematic and self-contained way. I’m stating these facts roughly now, to not get bogged down. But I’ll state them precisely, prove them, ...

Abstract: In this paper, a multi-object recognition scenario is considered to extend the random finite set into random permutation set. Probabilistic information on random permutation set can be ...

Abstract: Motivated by cryptography, quantum information theory, circuit complexity, and derandomization, there has been significant recent progress in the study of ...

Caitlin is Mashable's Australian Editor. She has written for The Guardian, Junkee, and any number of plucky little music and culture publications that were run on the smell of an oily rag and have ...

Who among us doesn’t want to be a dazzling conversationalist? Whether you’re chatting with your colleagues, your friends, or someone you’re trying to impress over a Zoom call, there are few feelings ...