# Institut for Fysik og Astronomi

## Native three-body interaction in superconducting circuits

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### DOI

We show how a superconducting circuit consisting of three identical, non-linear oscillators in series considered in terms of its electrical modes can implement a strong, native three-body interaction among qubits. Because of strong interactions, part of the qubit-subspace is coupled to higher levels. The remaining qubit states can be used to implement a restricted Fredkin gate, which in turn implements a CNOT-gate or a spin transistor. Including non-symmetric contributions from couplings to ground and external control we alter the circuit slightly to compensate, and find average fidelities for our implementation of the above gates above $99.5\%$ with operation times on the order of a nanosecond. Additionally we show how to analytically include all orders of the cosine contributions from Josephson junctions to the Hamiltonian of a superconducting circuit.
Originalsprog Engelsk 033123 Physical Review Research 1 3 22 2643-1564 https://doi.org/10.1103/PhysRevResearch.1.033123 Udgivet - nov. 2019

### Bibliografisk note

22 pages, 6 figures

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