Publications (6)
Expression for Related to Waring's Problem
Owen Root
Waring's Problem asks whether, for each positive integer , there exists an integer such that every positive integer is a sum of at most th powers. While Hilbert proved th…
Noise2Params: Unification and Parameter Determination from Noise via a Probabilistic Event Camera Model
Owen Root, Julinda Mujo, Min Xu
Accurate, unified models for event cameras (ECs) remain elusive, hampering calibration and algorithm design. We develop a foundational probabilistic model for EC event detection, g…
Does True Randomness Exist? Efficacy Testing IBM Quantum Computers via Statistical Randomness
Owen Root, Maria Becker
The fundamental principles of quantum mechanics, such as its probabilistic nature, allow for the theoretical ability of quantum computers to generate statistically random numbers,…
Deterministic Discrimination of Phase-Modified Permutation Oracles via Single Qubit Measurement
Owen Root
I study a promise problem for an unknown unitary operator acting on an -qubit system. The operator is promised to take one of two forms: either it implements a fixed permutation…
Engineering Optomechanically Induced Transparency by coupling a qubit to a spinning resonator
Jessica Burns, Owen Root, Hui Jing +1
We theoretically study the spectral properties of a pump-probe driven hybrid spinning optomechanical ring resonator optically coupled with a two-level quantum emitter (QE or qubit)…
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…