QUANT-PHMar 26
The Pareto Frontiers of Magic and Entanglement: The Case of Two QubitsAlexander Roman, Marco Knipfer, Jogi Suda Neto et al.
Magic and entanglement are two measures that are widely used to characterize quantum resources. We study the interplay between magic and entanglement in two-qubit systems, focusing on the two extremes: maximal magic and minimal magic for a given level of entanglement. We quantify magic by the Rényi entropy of order 2, $M_2$, and entanglement by the concurrence $Î$. We find that the Pareto frontier of maximal magic $M_2^{(max)}(Î)$ is composed of three separate segments, while the boundary of minimal magic $M_2^{(min)}(Î)$ is a single continuous line. We derive simple analytical formulas for all these four cases, and explicitly parametrize all distinct quantum states of maximal or minimal magic at a given level of entanglement.
CLAug 7, 2023
Trusting Language Models in EducationJogi Suda Neto, Li Deng, Thejaswi Raya et al.
Language Models are being widely used in Education. Even though modern deep learning models achieve very good performance on question-answering tasks, sometimes they make errors. To avoid misleading students by showing wrong answers, it is important to calibrate the confidence - that is, the prediction probability - of these models. In our work, we propose to use an XGBoost on top of BERT to output the corrected probabilities, using features based on the attention mechanism. Our hypothesis is that the level of uncertainty contained in the flow of attention is related to the quality of the model's response itself.
QUANT-PHNov 22, 2024
Lie-Equivariant Quantum Graph Neural NetworksJogi Suda Neto, Roy T. Forestano, Sergei Gleyzer et al.
Discovering new phenomena at the Large Hadron Collider (LHC) involves the identification of rare signals over conventional backgrounds. Thus binary classification tasks are ubiquitous in analyses of the vast amounts of LHC data. We develop a Lie-Equivariant Quantum Graph Neural Network (Lie-EQGNN), a quantum model that is not only data efficient, but also has symmetry-preserving properties. Since Lorentz group equivariance has been shown to be beneficial for jet tagging, we build a Lorentz-equivariant quantum GNN for quark-gluon jet discrimination and show that its performance is on par with its classical state-of-the-art counterpart LorentzNet, making it a viable alternative to the conventional computing paradigm.