Non-Abelian Geometric Quantum Gates in Triangular Systems
Analysis
Key Takeaways
- •Proposes a new method for creating quantum gates using geometric phases in a three-body system.
- •Utilizes shape space and derives an SU(2) holonomy group for single-qubit control.
- •Outlines a method for creating entangling gates (CNOT).
- •Suggests a physically realizable implementation using Rydberg trimers.
- •Includes a Ramsey/echo interferometric protocol for experimental verification.
“The paper shows that its restricted holonomy group is SU(2), implying universal single-qubit control by closed loops in shape space.”