MC 6460
Candidate
Einar GabbassovÌý| University of À¶Ý®ÊÓƵ
Title
Adiabatic Dynamics of Entanglement
Abstract
In the world of quantum computing, entanglement is a powerful resource. Our research investigates how entanglement behaves during a special kind of quantum process called 'adiabatic evolution,' where a quantum system slowly transforms from one state to another. We've discovered that entanglement isn't just changing randomly; instead, it's precisely 'woven' and re-woven at specific points during this evolution, almost like threads in a fabric. These crucial points are known as 'avoided energy level crossings,' where the system's energy levels approach each other closely but don't quite touch.
This weaving process has significant implications for the speed at which we can perform adiabatic quantum computations. We found that the more efficiently entanglement needs to be manipulated (which happens at very 'narrow' avoided crossings), the slower the quantum computer must operate to maintain accuracy. Intriguingly, the amount of entanglement that builds up during a quantum computation is directly related to how 'rugged' or complex a quantum problem's energy landscape is. This provides new insights into why some quantum problems are inherently harder than others, and could offer fresh perspectives on where the 'quantum advantage' truly comes from. Our work offers new tools to precisely control and study entanglement in adiabatic quantum computation.