Fig. 2: Arbitrary, parallel and local rotations.
From: Multi-ensemble metrology by programming local rotations with atom movements
a, We implement site-resolved phase shifts ϕj during the dark time t of standard Ramsey interrogation by inserting arbitrary and parallel shifts of various distances to the array of atoms. b, Results of this operation as a function of Ramsey time (x axis) for different tweezers in the array (y axis). The corresponding programmed phase-shift pattern is shown on the right of each panel. c, By applying multiple global \(\hat{X}(\uppi /2)\) pulses (grey blocks), in tandem with local movement shifts (same colour scale as in a), arbitrary local rotations can be performed. We show a demonstration by rotating an array of six atoms, initially in the |0〉 = |–Z〉 state, in parallel to the six cardinal states (|–Z〉, |+Z〉, |–Y〉, |+Y〉, |–X〉 and |+X〉), achieving an average fidelity of 0.984(2) (blue bars) and 0.987(2) after SPAM correction (tan bars), limited by global \(\hat{X}(\uppi /2)\) fidelity and decoherence during the time needed for movement (Methods). d, Bloch sphere visualizations of the states measured with quantum state tomography in c.
