Coherent Control of Collective Motion and Rydberg-dependent Gates

• Grant number: 25/05047-2
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: June 01, 2025
• End date: February 28, 2029
• Field of knowledge: Physical Sciences and Mathematics - Physics - Atomic and Molecular Physics
• Principal Investigator: André Cidrim Santos
• Grantee: Vinícius Tinano Pieve
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 22/06449-9 - Quantum control of trapped Rydberg ions, AP.GR

Abstract

This Ph.D. project explores coherent control of collective motion in trapped Rydberg ion systems by exploiting the large polarizability of Rydberg states. A central goal is the implementation of high-fidelity single- and multi-qubit entangling gates, with particular attention to scalability. Theoretical modeling faces challenges due to the need for fast gate operations that outpace the short lifetimes of Rydberg states, rendering common approximations like the rotating wave approximation invalid. As a result, time-dependent Hamiltonians must be treated numerically. The interplay between strong dipole-dipole interactions for fast gates and motional control for high fidelity introduces additional complexity when scaling up, due to the increasingly intricate collective mode structure. The project also plans to involve comparison with experiments, aiming to identify parameter regimes compatible with fault-tolerant quantum computation. (AU)