Fig. 3: Application of the gate on two qutrits.
From: Native qudit entanglement in a trapped ion quantum processor
a Phase evolution of the two-qutrit state components relative to the \(|00\rangle\) ground state during the application of the LS gate pulses. States \(|01\rangle\) and \(|10\rangle\) are shown in orange, \(|02\rangle\) and \(|20\rangle\) in blue, and \(|21\rangle\) and \(|12\rangle\) in green. The equal electronic states \(|00\rangle,|11\rangle,|22\rangle\) in purple do not acquire any relative phases. b Corresponding pulse scheme to implement the composite qudit light-shift gate operator G(θ) for a qutrit (d = 3). Light-shift gate pulses ULS(tg) are interlaced with cyclic permutation gates X3.
