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Cluster states of multiple ferrimagnetic spheres in cavity magnonics
Anil Kumar Chauhan (Okinawa Institute of Science and Technology Graduate University), Jason Twamley (Okinawa Institute of Science and Technology Graduate University)
Abstract: We present a scheme to generate the macroscopic Gaussian cluster states of multiple ferrimagnetic spheres in a microwave cavity through Kerr interactions. When each such sphere with self-Kerr nonlinearity is coupled to a single-cavity mode, it allows the generation of multimode entanglement and graph states—an important resource for one-way quantum computing through measurement-based protocols—near the strong and in the weak coupling regimes. While optimizing such states over the parameters governing the dynamics, the optimal appears for a far-detuned as well as dissipative cavity. Cluster states for a linear and a ring topology of a few spheres are discussed in the steady state of the system, further applicable to multiple spheres ( n = 10 ) , for experimentally feasible parameters.