Fig. 2: QPT results of the native AshN gates for several commonly used SU(4) unitaries performed on a selected qubit pair.
From: Efficient implementation of arbitrary two-qubit gates using unified control
a–j, The QPT results of \(\sqrt{\rm{iSWAP}}\) gate (a); \(\sqrt{\rm{SWAP}}\) gate (b); SWAP1/4 gate (c); CV gate (d), short for Controlled-V gate, which is the square root of the CNOT gate54; iSWAP gate (e); CNOT gate (f); QFT gate (g) that refers to the quantum Fourier transform, which acts on two qubits and occupies a position halfway between iSWAP and SWAP54; SWAP gate (h); B gate (i); and ECP†(j), the Hermitian conjugate of ECP that refers to the peak of the pyramid of gates in the Weyl chamber that can be created with a \(\sqrt{\rm{iSWAP}}\) sandwich54,55. In the experiments, a Bayesian readout correction is used in the QPT results. The error per gate (EPG) results are obtained from XEB experiments to avoid state preparation and measurement errors. The uncertainties represent the standard deviation derived from a bootstrapping method. See Supplementary Section M for details. Note that, throughout this Article, we define the Weyl chamber unitary according to equation (3). In the otherwise convention with a negative sign on the exponent, the gate we demonstrate here would be the corresponding Hermitian conjugate.
