Fig. 3: Quantum process tomography.
From: Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field
a, b Reconstructed process matrices χij of the non-Abelian holonomy \({\hat{U}}_{{{{\mathcal{C}}}}}\) for a forward and b reversed ramps at θ2 = π/4. The real part (Re[χij]) and the imaginary part (Im[χij]) are shown separately. Values in brackets are theoretical. The fidelity of the geometric process reached \({{{{\mathcal{F}}}}}_{{{{{\mathcal{C}}}}}_{+}}=0.98\) and \({{{{\mathcal{F}}}}}_{{{{{\mathcal{C}}}}}_{-}}=0.96\) for forward and reversed ramp, respectively. c Process matrix components (χij) for forward (left panels) and reverse (right panels) ramps for different W.-Z. phase realizations. The top panel shows the real parts [χ00 (red), χxx (green), χzz (purple), χxz (blue)] and the bottom panels show the imaginary parts [χ0x (red), χ0z (orange)]. We note that χ is Hermitian. The solid curves are the theory. Matrix components that are constantly zero in the theory are not shown for clarity.
