Publications (6)
Generalized Boolean Functions and Quantum Circuits on IBM-Q
Sugata Gangopadhyay, Vishvendra Singh Poonia, Daattavya Aggarwal +1
We explicitly derive a connection between quantum circuits utilising IBM's quantum gate set and multivariate quadratic polynomials over integers modulo 8. We demonstrate that the a…
A remark on weighted average multiplicities in prime factorisation
Viktor MirjaniÄ, Daattavya Aggarwal, Challenger Mishra
We study a generalisation of the quality of an ABC triple that we call the weighted average multiplicity (WAM), in which the logarithmic heights of prime factors are raised to a co…
Humanity's Last Exam
Long Phan, Alice Gatti, Ziwen Han +1144
Benchmarks are important tools for tracking the rapid advancements in large language model (LLM) capabilities. However, benchmarks are not keeping pace in difficulty: LLMs now achi…
Discovering mathematical concepts through a multi-agent system
Daattavya Aggarwal, Oisin Kim, Carl Henrik Ek +1
Mathematical concepts emerge through an interplay of processes, including experimentation, efforts at proof, and counterexamples. In this paper, we present a new multi-agent model…
Machine learning Sasakian and topology on contact Calabi-Yau -manifolds
Daattavya Aggarwal, Yang-Hui He, Elli Heyes +3
We propose a machine learning approach to study topological quantities related to the Sasakian and -geometries of contact Calabi-Yau -manifolds. Specifically, we compute da…
Application of quantum scrambling in Rydberg atom on IBM quantum computer
Daattavya Aggarwal, Shivam Raj, Bikash K. Behera +1
Quantum scrambling measured by out-of-time-ordered correlator (OTOC) has an important role in understanding the physics of black holes and evaluating quantum chaos. It is known tha…