Extended Data Table 1 Atomic arrangement parameters for different GHZ ensemble sizes

From: Multi-qubit gates and Schrödinger cat states in an optical clock

  1. All patterns are oriented in a rectangular pattern of ly rows by lx columns on the square lattice, with spacings Δx and Δy along each direction. The minimum blockade is computed as \({U}_{\min }={C}_{6}/{r}_{\max }^{6}\), in which \({r}_{\max }^{6}=\sqrt{{({l}_{x}\Delta x)}^{2}+{({l}_{y}\Delta y)}^{2}}\) and C6 = 2π × 10.4(2) GHz μm6 is obtained from measurements of the transition frequency for two-photon excitation of |11⟩ → |rr⟩; we note that this C6 value is roughly 15% larger than we reported previously in ref. 6. Umin is given in units of Ωr = 2π × 4 MHz, even though the actually used Rabi frequency in various experiments varies between 3 and 4 MHz. The N = 8 data used the same pattern as N = 9 but with a single corner atom removed.
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