Summary

Proposes the quarton — a superconducting circuit element with purely quartic () potential and no quadratic () term — for engineering ultrastrong nonlinear coupling between linearly decoupled transmon qubits. Achieves gigahertz-scale cross-Kerr interaction (), an order of magnitude stronger than conventional dispersive coupling. The circuit uses balanced series and lone Josephson junctions with tilt parameter . Applications include ultrafast entangling gates and single photon detection.

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