Kerr nonlinearities and nonclassical states with superconducting qubits and nanomechanical resonators
F. L. Semião, K. Furuya, G. J. Milburn
DOI 10.1103/PhysRevA.79.063811 · Physical Review A
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Abstract
We propose the use of a superconducting charge qubit capacitively coupled to two resonant nanomechanical resonators to generate Yurke-Stoler states, i.e., quantum superpositions of pairs of distinguishable coherent states 180° out of phase with each other. This is achieved by effectively implementing Kerr nonlinearities induced through the application of a strong external driving field in one of the resonators. A simple study of the effect of dissipation on our scheme is also presented and lower bounds of fidelity and purity of the generated state are calculated. Our procedure to implement a Kerr nonlinearity in this system may be used for high-precision measurements in nanomechanical resonators.
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