A gate-by-gate protocol prepares the kagome Rokhsar-Kivelson resonating dimer state on cylinders and tori with a time that scales with the system length, not its circumference.
For (m, n,1), the control bit is composed of (m, n−1, 2), (m, n−1, 3), and ( m, n,3); for ( m, n,2), the con- trol bit consists of ( m, n+1, 1), ( m, n+1, 3), and (m, n,3)
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Resonating Kagome Dimer coverings in Rydberg atom arrays
A gate-by-gate protocol prepares the kagome Rokhsar-Kivelson resonating dimer state on cylinders and tori with a time that scales with the system length, not its circumference.