Quantum control of an oscillator with a Kerr-cat qubit

The KCQ consists of the degenerate ground state manifold of the Hamiltonian

$${H}_{{{{\rm{KCQ}}}}}/\hslash=-K{a}^{{{\dagger}} 2}{a}^{2}+{\epsilon }_{2}{a}^{{{\dagger}} 2}+{\epsilon }_{2}^{*}{a}^{2},$$

(1)

where…

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