Abstract: The problem of finding a minimal circuit to implement a given function is one of the oldest in electronics. It is known to be NP-hard. Still, many tools exist to find sub-optimal circuits to ...

Abstract: Optimizing the depth and number of ancillary qubits in quantum circuits is crucial in quantum computation, given the limitations imposed by current quantum devices. In this article, we ...

This repository provides a step-by-step implementation of the Transformer architecture from scratch using PyTorch. The Transformer model, introduced in the seminal paper "Attention is All You Need," ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

Create a utility function that uses a cross-encoder model to rerank search results. This utility will be used to improve semantic search results by providing more accurate relevance scoring. Create a ...

Paul Deraval, Cofounder & CEO of NinjaCat, is a software veteran with 20+ years driving innovation in martech, AI and agency growth. Enterprise AI has evolved from a tool for innovation to a core ...

A Boolean search operator is the utilization of logical combinations that represent relationships between terms to link terms in specific ways. AND is used similarly to the way it is in the English ...

1 Institute of Mathematics, University of Lübeck, Lübeck, Germany 2 Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine This paper ...

Qingdao Institute for Theoretical and Computational Sciences, School of Chemistry and Chemical Engineering, Shandong University, Qingdao, Shandong 266237, China ...

ABSTRACT: This survey article illustrates many important current trends and perspectives for the field and their applications, of interest to researchers in modern algebra, mathematical logic and ...