A Generalized DQC1 approach for Quantum Machine Learning and Quantum Thermodynamics on Ensemble-Based Quantum Systems

• Grant number: 25/14546-2
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: October 28, 2025
• End date: October 27, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Roberto Menezes Serra
• Grantee: Carlos Henrique da Silva Vieira
• Supervisor: Dawei Lu
• Host Institution: Centro de Ciências Naturais e Humanas (CCNH). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Institution abroad: Southern University Of Science And Technology, China
• Associated to the scholarship: 23/13362-0 - Nonclassical aspects and coherence effects on quantum thermodynamics, BP.PD

Abstract

This project aims to investigate a quantum system based on a nuclear magnetic resonance (NMR) platform to address key intrinsic challenges related to theoretical modeling, experimental implementation, and application expansion in such ensemble-based architectures. We propose a generalization of the Deterministic Quantum Computation with One Qubit (DQC1) model, in which the probe qubit is allowed to be only partially polarized. This modification significantly improves the experimental feasibility and helps to overcome typical limitations of NMR systems, such as very low polarization and the absence of projective measurements. Starting from thermal-state initialization conditions, we aim first to design and optimize a generalized DQC1 model and propose a neural quantum embedding scheme to address the challenge of low-polarization initial states. Next, we will develop hybrid quantum-classical pulse optimization and pseudodensity operator techniques with randomized measurement protocols, enabling high-fidelity control and high-sensitivity readout under room-temperature conditions. Finally, we will focus on experimental validations across specific tasks in Quantum Machine Learning and proof-of-principle in Quantum Thermodynamics. (AU)