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.
The control bit is composed of the atoms ( m, n,1) and ( m, n,2), colored in green
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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.