Non-Abelian off-diagonal geometric phases in nano-engineered four-qubit systems

TL;DR

This paper proposes a physical setup using a four-qubit chain to realize non-Abelian off-diagonal geometric phases, enabling potential experimental observation in nano-engineered quantum systems.

Contribution

It introduces a method to realize non-Abelian off-diagonal geometric phases in a controllable four-qubit system, advancing the experimental exploration of geometric quantum phases.

Findings

Proposes a feasible implementation in nano-engineered four-qubit systems.

Enables experimental testing of non-Abelian off-diagonal geometric phases.

Highlights controllable interactions for phase realization.

Abstract

The concept of off-diagonal geometric phase (GP) has been introduced in order to recover interference information about the geometry of quantal evolution where the standard GPs are not well-defined. In this Letter, we propose a physical setting for realizing non-Abelian off-diagonal GPs. The proposed non-Abelian off-diagonal GPs can be implemented in a cyclic chain of four qubits with controllable nearest-neighbor interactions. Our proposal seems to be within reach in various nano-engineered systems and therefore opens up for first experimental test of the non-Abelian off-diagonal GP.